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November 9, 2011
Heavy Ion Collision Simulations
Main Collaborators: V.K. Magas (Barcelona, Spain)
L.P. Csernai (Bergen, Norway)
D.D. Strottman (LANL, USA/ Valencia, Spain/ Frankfurt, Germany)
H. Stöcker (Frankfurt, Germany)
Recent publications:
Nucl. Phys. A834 (2010) 261
Phys. Rev. C81 (2010) 064910
Phys. Lett. B692 (2010) 277
Phys. Rev. C84 (2011) 024914
Inaccessible region
Nuclear Matter Phase diagram
Heavy ion collisions: Compression + heating
We want to study not the properties of quarks and
gluons, but the properties of a New State of Matter
- QGP
We want to describe QGP evolution via collective quantities: -Energy density -Baryon density -Flow velocity -Pressure -Temperature And QGP, as a state of matter, we want to characterize by - Equation of State
QGP phase,
QGP EoS
Proper tools: Hydrodynamics,
Thermodynamics,
Statistical Physics
Global Flow
For the fixed y
in the transverse plane
Collective effects start to be seen, but these are due to initial conditions
Relativistic heavy ion collisions beam energies (Lab): 100 MeV/nucl – 10 GeV/nucl
Pre-QGP era
Directed Transverse flow
Squeeze out
Pre-QGP beam energies (fixed target): 0.1 – 10 GeV/nucl
Global Flow
Collective effects start to be seen
Most prominent – is the collective sidewards flow (directed flow) in the reaction plane.
Relativistic heavy ion collisions beam energies (Lab): 100 MeV/nucl – 10 GeV/nucl
Non-central collision =>
Bounce-off
Directed transverse flow
The same collision =>
Squeeze
out
y
Ultra-relativistic heavy ion collisions beam energies (Lab): > 10 GeV/nucl
- Strong and clear collective flow
-The flow now can not be generated in the initial NN collisions (like bounce-off) there is a pressure in the system and it is generated quite early
Directed Transverse flow
Elliptic flow
Antiflow Antiflow
Global Flow
Elliptic flow vs. Squeeze out
• At LBL, GSI, AGS
flow is orthogonal to
the reaction plane:
squeeze out – due to
initial conditions
• At SPS, RHIC central
flow is in the reaction
plane:
• elliptic flow - some
matter is accelerated by
pressure
As energy grows the directed flow
starts to deviate from the straight line behavior:
not just a simple Bounce-off –
there is some acceleration by pressure
CERN SPS
RHIC Strong antiflow is observed
PHOBOS Collaboration Phys.Rev.Lett.97:012301,2006
[Csernai, Röhrich, PL B458 (1999) 454]
The “firestreak” picture [Myers (1978), Gosset, Kapusta, Westfall (1978)]
Tilted initial state
Can be the source of antiflow
Initial state from effective string rope model
Au+Au at 100+100 GeV/nucl, b=0.25*2R
Magas, Csernai, Strottman, PRC 64 (2001) 014901, NPA 712 (2002) 167
Au+Au ECM=65 GeV/nucl. b=0.5 bmax Aσ=0.08 => σ~10 GeV/fm
e [ GeV / fm3 ] T [ MeV]
t=0.0 fm/c, Tmax= 420 MeV, emax= 20.0 GeV/fm3, Lx,y= 1.45 fm, Lz=0.145 fm
. .
EoS: p= e/3 - 4B/3
B = 397 MeV/fm3 8.7 x 4.4 fm
Au+Au ECM=65 GeV/nucl. b=0.5 bmax Aσ=0.08 => σ~10 GeV/fm
e [ GeV / fm3 ] T [ MeV]
t=4.6 fm/c, Tmax= 419 MeV, emax= 19.9 GeV/fm3, Lx,y= 1.45 fm, Lz=0.145 fm
. .
14.5 x 4.9 fm
Au+Au ECM=65 GeV/nucl. b=0.5 bmax Aσ=0.08 => σ~10 GeV/fm
e [ GeV / fm3 ] T [ MeV]
t=9.1 fm/c, Tmax= 417 MeV, emax= 19.6 GeV/fm3, Lx,y= 1.45 fm, Lz=0.145 fm
. .
20.3 x 5.8 fm
Proceedings of the Quark Matter 2006,
J. Phys. G34 (2007) S1077-S1082
Effective string rope model initial state & 3+1D Los Alamos (PIC) relativistic hydro code
Such a tilted initial state generates the first flow component
in the “antiflow” direction at RHIC
Constant time
FO hypersurface
Pb+Pb reaction at LHC
1.38 + 1.38 A*TeV collision energy
Peaks in opposite directions!!!
What has happened?
Csernai, Magas, Stöcker, Strottman,
Phys. Rev. C84 (2011) 024914
b=0.7bmax
Qualitatively agrees with the simulations
performed in a microscopic transport model:
Bleibel et. al., Phys. Lett. B659 (2008) 520
Rotation of the initial state
due to the
initial flow velocity distribution
Directed flow measurement in ALICE at LHC
I. Selyuzhenkov [ALICE], arXiv:1106.5425 [nucl-ex], talk given at “Quark Matter 2011”
Directed flow
is very small,
and in “antiflow”
direction
Quark Matter 2011 Initial state fluctuations are extremely important
for odd flow components… - talks by B. Schenke, F. Grassi, H. Holopainen, S. Jeon, P. Mota, H. Petersen
First results from real event-by-event hydrodynamics
For example - Gardim et. al., Phys. Rev. C.83, (2011) 064901
Directed flow has two physical sources:
-the global collective flow correlated with the reaction plane of the event - the random fluctuation flow, where the corresponding symmetry axes (e.g., for v1 and v3) have no correlation with the reaction plane; instead they are observed with respect to a participant plane event by event [Borghini, Dinh, and Ollitrault, Phys. Rev. C 64 (2001) 054901]
Random fluctuations create a strong v1 flow in “antiflow” direction [Gardim et. al., Phys. Rev. C.83, (2011) 064901]
The observed small antiflow might be a result of compensation of these two sources
Csernai, Magas, Stöcker, Strottman,
Phys. Rev. C84 (2011) 024914
Sensitivity of the collective flow to the initial state fluctuations
b=0.7bmax
32.7 nucl
32.7 nucl
yCM=0
|y0|=8
The only fluctuations,
which we can easely
take into accoint in our model,
are the initial state
C.M. rapidity fluctuations
Csernai, Magas, Stöcker, Strottman,
Phys. Rev. C84 (2011) 024914
Sensitivity of the collective flow to the initial state fluctuations
b=0.7bmax
33 nucl
32 nucl
yCM≠0
|y0|=8
yCM is fluctuating around “0”
with Gaussian distribution
22 /
22
1)(
yy
CMCMe
yyP
Sensitivity of the collective flow to the initial state fluctuations
b=0.7bmax
33 nucl
32 nucl
|y0|=8
yCM is fluctuating around “0”
with Gaussian distribution
22 /
22
1)(
yy
CMCMe
yyP
+ Experimental cuts ! -0.8 < y <0.8
yCM≠0
Csernai, Magas, Stöcker, Strottman,
Phys. Rev. C84 (2011) 024914
b=0.7bmax
Sensitivity of first flow component to the initial state fluctuations
Results are strongly affected
by exp. rapidity cuts and
by initial state fluctuations
Drastic effect:
no peaks !
Csernai, Magas, Stöcker, Strottman,
Phys. Rev. C84 (2011) 024914
Sensitivity of the elliptic flow to the initial state fluctuations
Reasonable agreement
with data
(NO FITTING)
b=0.7bmax
ALICE Collaboration,
PRL 105, 252302 (2010)
Pb+Pb reaction at LHC
1.38 + 1.38 A*TeV collision energy
Conclusions
New effect is predicted:
change of the direction of the global v1(y) flow
from RHIC to LHC
First flow component is extremely sensitive to the
random fluctuations, in particular to the
initial state CM rapidity fluctuations
Our simulations of the elliptic flow are
in a fair agreement with ALICE data (NO FITTING)
Our collaboration performs simulations of the
ultra-relativistic heavy ion collisions at RHIC and LHC
New method is proposed:
How to separate in the data the global flow from
the flow fluctuations in the 1st harmonic
Gracias!