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多次元の超新星爆発及び超新星残骸モデル
重元素の起源
Masaomi ONO
Kyushu University
20140304 BH-mag 2014 Kumamoto Univ 1
ブラックホール磁気圏勉強会2014 Kumamoto University
20140304
Outline
bull Aspheical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash Nucleosynthesis in Magnetically driven jets
bull Matter mixing in core-collapse supernovae
bull Multi-dimensional simulation of SNR
20140304 BH-mag 2014 Kumamoto Univ 2
Aspherical nature of supernovae
20140304 BH-mag 2014 Kumamoto Univ 3
3
Crab pulsar PSR B0531+21 (X-ray image)
Supernova remnant Crab nebula (M1 NGC 1952)
Supernova remnant Cassiopeia A
SN1987A
Mechanisms of core-collapse supernova explosions
bull The neutrino-heating with aid of Multi-dimensional
effects
ndash Standing accretion shock instability (SASI)
ndash Neutrino-driven convection
bull Acoustic mechanism (Burrows et al 2006)
ndash Oscillation of PNS
bull MHD effects
ndash Rotation and Magnetic field
20140304 BH-mag 2014 Kumamoto Univ 4
Explosive Nucleosynthesis in Magnetohydrodynamical Jets
from Collapsars II
- Heavy-element Nucleosynthesis of s p r-processes -
Masaomi Ono1
Masa-aki Hashimoto1 Shin-ichiro Fujimoto2
Kei Kotake3 and Shoichi Yamada4
Kyushu University1 Komamoto Nat Coll Tech2
NAOJ(Fukuoka Univ)3 Waseda Univ4
20140304 BH-mag 2014 Kumamoto Univ 5
MO+2012 PTP 128 741
Origin of heavy elements
20140304 BH-mag 2014 Kumamoto Univ 6
Anderse amp Grevesse 1989
Solar system abundances
Nucleosynthesis
processes that
makes elements
heavier than iron
Neutron capture
processes
世界で一番美しい元素図鑑 (セオドアグレイ)より
Two-neutron capture processes
20140304 BH-mag 2014 Kumamoto Univ 7
bull r (rapid)-process explosive environments
bull s (slow)-process) stellar evolution
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Outline
bull Aspheical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash Nucleosynthesis in Magnetically driven jets
bull Matter mixing in core-collapse supernovae
bull Multi-dimensional simulation of SNR
20140304 BH-mag 2014 Kumamoto Univ 2
Aspherical nature of supernovae
20140304 BH-mag 2014 Kumamoto Univ 3
3
Crab pulsar PSR B0531+21 (X-ray image)
Supernova remnant Crab nebula (M1 NGC 1952)
Supernova remnant Cassiopeia A
SN1987A
Mechanisms of core-collapse supernova explosions
bull The neutrino-heating with aid of Multi-dimensional
effects
ndash Standing accretion shock instability (SASI)
ndash Neutrino-driven convection
bull Acoustic mechanism (Burrows et al 2006)
ndash Oscillation of PNS
bull MHD effects
ndash Rotation and Magnetic field
20140304 BH-mag 2014 Kumamoto Univ 4
Explosive Nucleosynthesis in Magnetohydrodynamical Jets
from Collapsars II
- Heavy-element Nucleosynthesis of s p r-processes -
Masaomi Ono1
Masa-aki Hashimoto1 Shin-ichiro Fujimoto2
Kei Kotake3 and Shoichi Yamada4
Kyushu University1 Komamoto Nat Coll Tech2
NAOJ(Fukuoka Univ)3 Waseda Univ4
20140304 BH-mag 2014 Kumamoto Univ 5
MO+2012 PTP 128 741
Origin of heavy elements
20140304 BH-mag 2014 Kumamoto Univ 6
Anderse amp Grevesse 1989
Solar system abundances
Nucleosynthesis
processes that
makes elements
heavier than iron
Neutron capture
processes
世界で一番美しい元素図鑑 (セオドアグレイ)より
Two-neutron capture processes
20140304 BH-mag 2014 Kumamoto Univ 7
bull r (rapid)-process explosive environments
bull s (slow)-process) stellar evolution
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Aspherical nature of supernovae
20140304 BH-mag 2014 Kumamoto Univ 3
3
Crab pulsar PSR B0531+21 (X-ray image)
Supernova remnant Crab nebula (M1 NGC 1952)
Supernova remnant Cassiopeia A
SN1987A
Mechanisms of core-collapse supernova explosions
bull The neutrino-heating with aid of Multi-dimensional
effects
ndash Standing accretion shock instability (SASI)
ndash Neutrino-driven convection
bull Acoustic mechanism (Burrows et al 2006)
ndash Oscillation of PNS
bull MHD effects
ndash Rotation and Magnetic field
20140304 BH-mag 2014 Kumamoto Univ 4
Explosive Nucleosynthesis in Magnetohydrodynamical Jets
from Collapsars II
- Heavy-element Nucleosynthesis of s p r-processes -
Masaomi Ono1
Masa-aki Hashimoto1 Shin-ichiro Fujimoto2
Kei Kotake3 and Shoichi Yamada4
Kyushu University1 Komamoto Nat Coll Tech2
NAOJ(Fukuoka Univ)3 Waseda Univ4
20140304 BH-mag 2014 Kumamoto Univ 5
MO+2012 PTP 128 741
Origin of heavy elements
20140304 BH-mag 2014 Kumamoto Univ 6
Anderse amp Grevesse 1989
Solar system abundances
Nucleosynthesis
processes that
makes elements
heavier than iron
Neutron capture
processes
世界で一番美しい元素図鑑 (セオドアグレイ)より
Two-neutron capture processes
20140304 BH-mag 2014 Kumamoto Univ 7
bull r (rapid)-process explosive environments
bull s (slow)-process) stellar evolution
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Mechanisms of core-collapse supernova explosions
bull The neutrino-heating with aid of Multi-dimensional
effects
ndash Standing accretion shock instability (SASI)
ndash Neutrino-driven convection
bull Acoustic mechanism (Burrows et al 2006)
ndash Oscillation of PNS
bull MHD effects
ndash Rotation and Magnetic field
20140304 BH-mag 2014 Kumamoto Univ 4
Explosive Nucleosynthesis in Magnetohydrodynamical Jets
from Collapsars II
- Heavy-element Nucleosynthesis of s p r-processes -
Masaomi Ono1
Masa-aki Hashimoto1 Shin-ichiro Fujimoto2
Kei Kotake3 and Shoichi Yamada4
Kyushu University1 Komamoto Nat Coll Tech2
NAOJ(Fukuoka Univ)3 Waseda Univ4
20140304 BH-mag 2014 Kumamoto Univ 5
MO+2012 PTP 128 741
Origin of heavy elements
20140304 BH-mag 2014 Kumamoto Univ 6
Anderse amp Grevesse 1989
Solar system abundances
Nucleosynthesis
processes that
makes elements
heavier than iron
Neutron capture
processes
世界で一番美しい元素図鑑 (セオドアグレイ)より
Two-neutron capture processes
20140304 BH-mag 2014 Kumamoto Univ 7
bull r (rapid)-process explosive environments
bull s (slow)-process) stellar evolution
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Explosive Nucleosynthesis in Magnetohydrodynamical Jets
from Collapsars II
- Heavy-element Nucleosynthesis of s p r-processes -
Masaomi Ono1
Masa-aki Hashimoto1 Shin-ichiro Fujimoto2
Kei Kotake3 and Shoichi Yamada4
Kyushu University1 Komamoto Nat Coll Tech2
NAOJ(Fukuoka Univ)3 Waseda Univ4
20140304 BH-mag 2014 Kumamoto Univ 5
MO+2012 PTP 128 741
Origin of heavy elements
20140304 BH-mag 2014 Kumamoto Univ 6
Anderse amp Grevesse 1989
Solar system abundances
Nucleosynthesis
processes that
makes elements
heavier than iron
Neutron capture
processes
世界で一番美しい元素図鑑 (セオドアグレイ)より
Two-neutron capture processes
20140304 BH-mag 2014 Kumamoto Univ 7
bull r (rapid)-process explosive environments
bull s (slow)-process) stellar evolution
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Origin of heavy elements
20140304 BH-mag 2014 Kumamoto Univ 6
Anderse amp Grevesse 1989
Solar system abundances
Nucleosynthesis
processes that
makes elements
heavier than iron
Neutron capture
processes
世界で一番美しい元素図鑑 (セオドアグレイ)より
Two-neutron capture processes
20140304 BH-mag 2014 Kumamoto Univ 7
bull r (rapid)-process explosive environments
bull s (slow)-process) stellar evolution
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Two-neutron capture processes
20140304 BH-mag 2014 Kumamoto Univ 7
bull r (rapid)-process explosive environments
bull s (slow)-process) stellar evolution
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 8
Key physical parameters for the r-process
bull Low electron fraction Ye
bull High Entropy S prop T 3ρ
bull Short Dynamical time scale
low Ye is essential for the r-process
neutron-rich Ye lt 05
Ye ~ 01
119884119890 = 119883119894119860119894
119894
119885119894 ~ 119899119901119899119899 + 119899119901
Entropy S prop T 3ρ Hoffman et al 1997
[kBbaryon]
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 9
What is the site of the r-process
bull Neutron star mergers (NSM)
ndash Difficult to explain the early enrichment of
r-process elements in galaxies
ndash But we should carefully investigate
bull Magnetohydrodynamical (MHD) jets
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 10
Neutron star mergers (NSM) are the main source of
the r-process elements
Argast et al 2004
ejected r-element mass 10-3 M8
coalescence time 106 yr
NSM rate 2times10-4 yr-1
inhomogeneous galactic chemical evolution model
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Inputs and method
11
Input
bull Results of stellar evolution
calculation
(Hashimoto 1995)
ndash 32 M8 He core (Mms = 70 M8)
ndash Only 30 nuclei Mms = 70 M8
n p 4He 12C 14N 1618O 20-22Ne 23Na 24-26Mg
2627Al 28-30Si 3031P 31-34S 35Cl 3638Ar 39K 40Ca
Method
bull Using time evolution of
bull ρ T
bull Convective region
bull Nuclear reaction network (464 nuclei up to Kr)
20140304 BH-mag 2014 Kumamoto Univ
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Nuclear reaction network
12
Thermonuclear reaction rates
Nucleosynthesis calculation in Lagrange mesh with a relatively large nuclear reaction network (464 nuclei up to 94Kr)
Reaction rates based on experimental values and REACLIB compilation
20140304 BH-mag 2014 Kumamoto Univ
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Treatment of convective region
13
bull Initial abundance
ndash Solar system abundance H rarr He 12C16O rarr 14N (CNO cycle)
bull Convective region
ndash Stellar evolution calculation
bull Criterion of convection
ndash Schwarzschild
c
A c
( )
( )
i i
n
X X m dm M
m N v dm M
Convective region one zone
He burn
rad ad rad
rad
ln
ln
d T
d P
ad
ad
ln
ln
d T
d P
20140304 BH-mag 2014 Kumamoto Univ
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Mass fraction at the pre-collapse
14 20140304 BH-mag 2014 Kumamoto Univ
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
MHD simulations of Collapsar model
15 20140304 BH-mag 2014 Kumamoto Univ
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Method of MHD simulation
16
Magnetohydrodynamics (ideal MHD)
Poisson eq
pseudo-Newtonian potential
Equation of State(EoS)
Shen et al 1998
Code ZEUS-2D
Stone amp Norman 1992
BH
Self gravity
0D
Dt
v
1( ) ( )
4
DP
Dt
vB B
D eP q
Dt
v
( )t
Bv B
2 4 G
BH BH
2
2 g
g
GM GMr
r r c
Magnetic field lines
ldquo frozen in
Fluid particle
20140304 BH-mag 2014 Kumamoto Univ
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 17
Nucleosynthesis in the MHD jet from a
collapsar including weak s- p- and r-processes
MO+12
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 18
r-process nucleosynthesis (movie)
MO+12
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 19
Comparison with abundances of the solar and
metal-poor stars
bull Weak r-process
bull Primary synthesis of
Sr-Y-Zr
darr
Lighter element
primary process
(LEPP)
MO+12
Universality of the r-process (eg Sneden et al 2003)
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Future collaboration with nuclear physics groups in
RIKEN
bull RIBF (beam factory)
bull Theoretical nuclear physics
group
bull Impact of uncertainties of
nuclear physics inputs
on nucleosynthesis in
astrophysical sites
20140304 BH-mag 2014 Kumamoto Univ 20
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
A lsquoKilonovarsquo associated with the short-duration
GRB 130603B (z = 0356)
bull Optical near-IR afterglow
ndash kilonova (1040 -1042 erg s-1)
bull r-process powered transient
(eg Li amp Paczyński 1998
Metzger et al 2010)
bull Electromagnetic counterpart
of GW
bull Robust r-process in NS merger
(Korobkin et al 2012)
bull Recent numerical study
ndash Wanajo et al 2013 (arXiv14027317)
20140304 BH-mag 2014 Kumamoto Univ 21
Tanvir et al 2013 Nature 500 547
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Matter mixing in aspherical core-collapse supernovae
- A search for possible conditions for conveying 56Ni into high
velocity regions
Masaomi Ono1
Shigehiro Nagataki2 Hirotaka Ito2 Shiu-Hang Lee2 Jirong
Mao2 Masa-aki Hashimoto1 Tolstov Alexey2
Kyushu University
Astrophysical Big Bang Laboratory RIKEN
20140304 BH-mag 2014 Kumamoto Univ 22
MO+2013 ApJ 773 161
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 23
Introduction observational evidence of mixing
in supernovae bull SN 1987A
ndash Early detection of X-rays (Dotani et al 1987)
γ-rays lines from 56Co (Matz et al 1988)
ndash Sudden development of the fine structure of Ha
(Hanuschik et al 1988)
ndash Line profiles of [Fe II]
(Spyromilo+90 Haas+90)
Fe (56Ni) is mixed into high velocity regions
56Ni rarr 56Co rarr 56Fe
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 24
Broadened line profile of [Fe II] in SN 1987A
[Fe II] line profile (Haas et al 1990)
56Ni rarr 56Co rarr 56Fe
4000 km s-1
SN 1987A
Doppler velocity
T12 = 61 d T12 = 77 d
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 25
Matter mixing in supernova explosions
HeH C+OHe
Synthesized 56Ni by
explosive
nucleosynthesis Mixing
56Ni is mixed up into high
velocity regions
radial velocity HeH
56Ni
Distance from the center
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 26
What is the mechanism of the mixing
bull Fluid instabilities
ndash Rayleigh-Taylor (RT) instability
ndash Kelvin-Helmholtz (KH) instability
ndash Richtmyer-Meshkov (RM) instability
bull Aspherical supernova explosion
ndash Neutrino heating aided by SASI
(Standing Accretion Shock Instability)
ndash MHD Jets
Wongwathanarat et al 2010
Entropy per baryon
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 27
Early previous study of hydrodynamic models of
the late time shock wave propagation
bull 2D3D hydrodynamic simulations
bull Add hoc initiation of spherical supernova explosion
bull RT mixing at OHe HeH interfaces
bull Maximum 56Ni velocity around 2000 km s-1
Arnett et al 1989 Fryxell et al 1991 Mueller et al 1991bac Hachisu et al
1990 1991 1992 1994 Herant amp Benz 1991 Herant amp Benz 1992
Hachisu et al 1992
Spherical explosion + RT instability could not explain
the observed high velocity of 56Ni
bull Recent study on mixing
ndash 2D (Kifonidis et al 2003 2006 Gawryszczak et al 2010)
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 28
Simulations of non-spherical supernova explosions
bull Neutrino-driven explosion
(Kifonidis et al 2006 Gawryszczak et al 2010)
Solid circle 10-4 M8
Open circle 10-5 M8
Density 7days after the explosion
Maximum ~ 4000 km s-1
bull Jet like explosions (Yamada amp Sato 1991 Nagataki et al 2000)
bull 3D (Hammer et al 2010)
bull SPH (Hungerford et al 20032005 Ellinger et al 2012)
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Motivation
bull Multidimensional high resolution hydrodynamics
simulations of the propagation of supernova shock wave
+ Nucleosynthesis calculation and advections of
synthesized nuclear species
20140304 BH-mag 2014 Kumamoto Univ 29
The conditions for reproducing the observed high
velocity of 56Ni are still unclear
To clarify the key conditions for reproducing such
high velocity of 56Ni we revisit matter mixing in
aspherical core-collapse supernova explosions
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Methods
20140304 BH-mag 2014 Kumamoto Univ 30
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 31
Methods
bull 2D hydrodynamic simulation
ndash AMR hydrodynamic code (FLASH Fryxell et al 2000)
ndash Parallel computing (SR16000 in YITP)
ndash Nuclear reaction network 1H 4He 12C hellip 54Fe 56Ni (19 nuclei)
ndash Spherical point mass and self gravity
ndash Spherical coordinate effective maximum grid r (3027) x q (768)
ndash Initial computational domain 109 cm ndash stellar surface 3x1012 cm
ndash How to initiate the explosionIntroduce aspherical initial radial
velocity and inject thermal energy around FeSi surface
ndash Perturbations of presupernova origins
httpflashuchicagoedusite
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 32
FLASH Code
bull Eulerian hydrodynamic code
ndash Piecewise Parabolic Method (PPM)
ndash Unsplit solver MHD RHD
bull AMR (Adaptive mesh refinement)
ndash Reduce numerical costs
bull Many optional units
ndash Nuclear reaction networks
(7-19 nuclei)
The FLASH code is a modular parallel multiphysics simulation code
capable of handling general compressible flow problems found in many astrophysical environment (Fryxell et al 2000)
Type Ia SN
explosion
Jordan et al 2008
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 33
Rayleigh-Taylor (RT) instability
120571120588 ∙ 120571119901 lt 0 (Chevalier 1979)
120588 1199033 rarr accelerate
Kifonidis et al 2006
Shengtai Li amp Hui Li 2006
RT unstable condition
1205882
1205881
g
Spherical explosions + RT
instabilities have not explained
the high velocity 56Ni
if 1205881 gt 1205882 120588 1199033 rarr decelerate
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 34
Presupernova structure and introduced
perturbations
120571120588 ∙ 120571119901 lt 0 (Chavalier 1979)
120588 1199033 rarr shock wave tend
to be decelerated
Progenitor model 6 M8
helium core (Nomoto amp Hashimoto
1988) + 103 M8 hydrogen envelope
Si C+O He H
Rayleigh-Taylor unstable
Random
Sinusoidal
Perturbations are introduced at 6times109 cm (C+OHe) 5times1010 cm (HeH)
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Models
20140304 BH-mag 2014 Kumamoto Univ 35
Parametersasphericity timing of the introduction
of perturbations
1 Spherical explosion models
2 Bipolar explosion models
3 Explosion models mimicking neutrino-driven
explosion
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Results of models
20140304 BH-mag 2014 Kumamoto Univ 36
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 37
Density distributions
Perturbations
at C+OHe
Perturbations
at HeH
Perturbations
at both
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Growth factor of instability
20140304 BH-mag 2014 Kumamoto Univ 38
Growth factors at the end of
simulation time
Growth rate for incompressible fluid
Growth rate for compressible fluid
Growth factors
Based on pure 1d spherical simulation
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Radial velocity distribution of elements for
spherical explosion models
20140304 BH-mag 2014 Kumamoto Univ 39
Timing of the perturbations hardly affect
the maximum velocity of 56Ni
Maximum velocity of 56Ni lt 1600 km s-1
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Different asphericity of bipolar explosions
20140304 BH-mag 2014 Kumamoto Univ 40
Bipolar explosion slightly enhance the mixing
length along the polar axis but maximum velocity
of 56Ni is still the level of lt 1700 km s-1
milder asphericity stronger asphericity
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Revisiting Nagataki et al 2000 (jetlike explosion)
only initial large amplitude of perturbations
20140304 BH-mag 2014 Kumamoto Univ 41
with amplitude of 30 and m = 20
Initial relatively large sale of perturbations can not survive in later phase due to KH instabilities
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Mimicking the neutrino-driven explosions
20140304 BH-mag 2014 Kumamoto Univ 42
Initial radial velocity
Scheck+04
Gawryszczak+10
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Mechanism of the core-collapse supernova
explosions
bull Neutrino heating
20140304 BH-mag 2014 Kumamoto Univ 43
Taken from Janka et al 2012 (PTEP 1 A309)
Bethe 1990 (Rev Mod Phys 62 801) Taken from Liebendofer et al 2001
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Convections and Standing Accretion Shock
Instability (SASI)
bull Convection around PNS surface
bull Neutrino-driven convection
bull Standing Accretion Shock Instability (SASI) (Blondin et al )
ndash Acoustic-vorticity cycle
20140304 BH-mag 2014 Kumamoto Univ 44
Ledoux criterion
Ledoux criterion
Taken from Liebendofer et al 2001
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 45
Aspherical explosion with clumpy structure in the
explosion (movie)
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 46
Aspherical explosion with clumpy structure + RT
instability
053 s 288 s 5752 s
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 47
Maximum 3000 km s-1
56Ni
Radial velocity distributions of the best model in
this study
bull Relatively high velocity
(3000 km s-1) of 56Ni
bull Mass of 56Ni with ~ 3000
km s-1 14 x 10-3 M8
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 48
Summary
bull To reproduce the high velocity of 56Ni both aspherical
explosion with clumpy structure and perturbations of
presupernova origins may be necessary
bull There are still missing ingredients to explain the observed
high velocity of 56Ni in SN 1987A
bull Possible missing ingredients
ndash More realistic explosion model (eg Kifonidis et al 2006)
ndash Lager perturbations in presupernova structure (Arnett amp Meakin 2011)
ndash Long simulation time
bull Heating due to the decay of 56Co (Herant amp Benz 1991)
ndash 3D effect (Hammer et al 2010)
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Possible seeds of perturbations
bull Dynamical stellar evolution calculation
bull Density fluctuations
around the composition
interfaces
20140304 BH-mag 2014 Kumamoto Univ 49
Arnett amp Meakin 2011
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 50
3D simulations of mixing instabilities in SN
explosions
Hammer et al 2010
56Ni 56Ni
2D 3D
Entropy per baryon Red Oxygen
Blue Nickel
Green Carbon
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Direct-escape lines of 44Ti from SNR 1987A
bull lines from 44Ti 679 keV and 784 keV
bull Estimated 44Ti mass (31plusmn08) x 10-4 M8
20140304 BH-mag 2014 Kumamoto Univ 51
Grebenev+12 Nature 490 373
44Ti rarr 44Sc rarr 44Ca T12 = 60 d T12 = 4 h
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Asymmetries in core-collapse supernovae from
maps of radioactive 44Ti in Cas A
20140304 BH-mag 2014 Kumamoto Univ 52
Grefenstette+14 Nature 506 339
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Aspherical explosion enhance 44Ti
20140304 BH-mag 2014 Kumamoto Univ 53
56Ni 4He 44Ti
Alpha-rich freeze-out enhance the production of 44Ti in the
explosive nucleosynthesis
Aspherical explosion enhance the ratio of M(44Ti)M(56Ni)
096 s after the initiation of the explosion
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Toward full 3D radiative transfer
bull 爆発形状を仮定した
輻射輸送計算
ndash 形状で偏光度が異なる
ndash 元素によっても異なる
bull 3次元物質混合計算を
インプットにした輻射
輸送計算
20140304 BH-mag 2014 Kumamoto Univ 54
Tanaka et al 2012 bipolar
clumpy
爆発形状のプローブ
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 55
3D MHD simulation of a SNR
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Introduction
bull Acceleration of cosmic-rays in SNRs
ndash Up to ~ 1015 eV or more
ndash Magnetic field is key ingredient
20140304 BH-mag 2014 Kumamoto Univ 56
SN1006 (Chandra X-ray)
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Amplified strong magnetic field
20140304 BH-mag 2014 Kumamoto Univ 57
Uchiyama et al 2007 Nature 4469 576
Bohm-diffusion limit
Variations of X-ray hot
spots on a 1 yr timescale
Strong amplified
magnetic field
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
3D MHD simulation of a SNR
20140304 BH-mag 2014 Kumamoto Univ 58
3 pc
Preliminary
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 59
Amplified magnetic field
20121015 - 17 SNSNR12 59
~ 50 μ G
1 μ G Preliminary
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 60
3D structure of Cas A
Delaney et al 2010
Chandra lsquos X-rays
Spitzer lsquos infrared
Green X-ray Fe-K
Red IR [Ar II]
Blue high [Ne II][Ar II] ratio
Yellow optical outer ejecta
Grey IR [Si II]
Black X-ray Si XIII
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 61
ASTRO-H
bull New exploration X-ray
Telescope
ndash First right will be
2015 yr
ndash 10 times larger
energy resolution
httpastro-hisasjaxajpgallerysatelite02html
High resolution spectrum
of X-ray from SNRs is
expected
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
3D simulation of the thermal X-ray emission from young
SNRs including efficient particle acceleration
bull 3D simulation
bull Diffusive Shock Acceleration
bull Back reaction from
accelerated particle
bull Non-equilibrium ionization
bull Thermal X-ray emission
20140304 BH-mag 2014 Kumamoto Univ 62
Ferrand et al 2012
To go further than
Ferrand et al
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Test 1D calculation
bull Two energy equation for ions and electrons respectively
bull Energy equilibration between ions and electrons
bull Ionization
20140304 BH-mag 2014 Kumamoto Univ 63
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
20140304 BH-mag 2014 Kumamoto Univ 64
Density contour
Preliminary
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Emission from deferent regions
20140304 BH-mag 2014 Kumamoto Univ 65
Preliminary
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66
Summary
bull Aspherical nature of core-collapse supernova
explosions
bull Origin of heavy elements
ndash NS merger
ndash Magnetically driven jets
bull Mixing in CCSN explosion
bull Supernova explosions to Supernova remnant
20140304 BH-mag 2014 Kumamoto Univ 66