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Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt GEM Workshop Zermatt Resort, Utah 22 nd – 27 th June, 2008 Nigel P. Meredith British Antarctic Survey

Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

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Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt. Nigel P. Meredith British Antarctic Survey. GEM Workshop Zermatt Resort, Utah 22 nd – 27 th June, 2008. Outline. Introduction Local Acceleration Mechanisms Chorus Magnetosonic waves - PowerPoint PPT Presentation

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Page 1: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

GEM WorkshopZermatt Resort, Utah 22nd – 27th June, 2008

Nigel P. Meredith

British Antarctic Survey

Page 2: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Introduction

• Local Acceleration Mechanisms– Chorus– Magnetosonic waves

• Local Loss Mechanisms– Plasmaspheric hiss– EMIC waves– Chorus

• Conclusions

NASA

Outline

Page 3: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Energetic electrons (E > 100 keV) in the Earth’s radiation belts are generally confined to two distinct regions.

• Inner radiation belt – 1.2 < L < 2 – exhibits long term stability

• Outer radiation belt– 3 < L < 7 – highly dynamic

Earth’s Radiation Belts

2 4 5 6 73

104

103

102

101

100

1

L shell

flux

E = 876 keV

Outer beltInner belt

NASA

Page 4: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Variability of Outer Radiation Belt Electrons

Baker et al., AG, 2008

• Fluxes change dramatically on a variety of different time scales.• Covers a range of over 4 orders of magnitude.

Page 5: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Variability of Outer Radiation Belt Electrons

• Most intense fluxes are seen during the declining phase of the solar cycle.

Baker et al., AG, 2008

Page 6: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Enhanced fluxes of relativistic electrons:

– damage satellites, e.g.,• 1994: Intelsat K, Anik E1, & E2• 1997: Telstar 401• 1998: Galaxy IV

– risk to humans in space.

Importance

Baker et al., AG, 2008

Page 7: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

stratosphere

mesosphere

thermosphere

• Energetic electrons can penetrate to low altitudes where they drive changes in atmospheric chemistry primarily in the mesosphere.

Relevance to the Middle Atmosphere

Page 8: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

stratosphere

mesosphere

thermosphere

• Energetic electrons can penetrate to low altitudes where they drive changes in atmospheric chemistry primarily in the mesosphere.

Relevance to the Middle Atmosphere

Page 9: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

stratosphere

mesosphere

• Energetic electrons can penetrate to low altitudes where they drive changes in atmospheric chemistry primarily in the mesosphere.

Relevance to the Middle Atmosphere

Page 10: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

stratosphere

mesosphere

• Energetic electrons can penetrate to low altitudes where they drive changes in atmospheric chemistry primarily in the mesosphere.

Relevance to the Middle Atmosphere

Page 11: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

stratosphere

mesosphere

• Energetic electrons can penetrate to low altitudes where they drive changes in atmospheric chemistry primarily in the mesosphere.

• Electron precipitation from the Earth’s radiation belts could thus be very important for communicating solar variability to the Earth’s middle atmosphere [e.g., Kozyra et al., AGU, 2006].

Relevance to the Middle Atmosphere

Page 12: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Characterise, understand, and ultimately predict the variability of outer radiation belt electrons.

• Complex problem involving a variety of source, transport and loss processes.

L = 3

L = 7

L = 3

L = 7

L = 7

L = 3

Challenge

Page 13: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Relativistic electron variability driven by activity on the Sun.

• Two types of solar driver:

Solar Drivers

Page 14: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Relativistic electron variability driven by activity on the Sun.

• Two types of solar driver:

– Episodic storms caused by solar wind disturbances driven by coronal mass ejections.

Solar Drivers

Image courtesy of the LASCO team

Page 15: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Relativistic electron variability driven by activity on the Sun.

• Two types of solar driver:

– Episodic storms caused by solar wind disturbances driven by coronal mass ejections.

– Recurrent storms caused by high speed solar wind streams from coronal holes.

Reeves, GRL, 1998

Solar Drivers

Image courtesy of the LASCO team

Page 16: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Relativistic Electron Variability

Reeves et al., GRL, 2003

• The fluxes of relativistic electrons (E>1 MeV) in the outer zone are enhanced by a factor of 2 or more in ~50% of all moderate and intense storms.

Page 17: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Relativistic Electron Variability

• The fluxes of relativistic electrons (E>1 MeV) in the outer zone are enhanced by a factor of 2 or more in ~50% of all moderate and intense storms.

• However, in sharp contrast, ~20% of these storms decrease the fluxes by a factor of 2 or more.

• This emphasizes the need to study loss processes as well as acceleration processes.

Reeves et al., GRL, 2003

Page 18: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

bouncemotion

driftmotion

• Energetic particles in the Earth’s radiation belts undergo three types of periodic motion:

Periodic Motions

Page 19: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

gyromotion

bouncemotion

driftmotion

• Energetic particles in the Earth’s radiation belts undergo three types of periodic motion:

– They gyrate around the magnetic field

Periodic Motions

Page 20: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

gyromotion

bouncemotion

driftmotion

• Energetic particles in the Earth’s radiation belts undergo three types of periodic motion:

– They gyrate around the magnetic field

10 kHz

0.1 ms

f

T

1 MeV electron ( = 45o) at L = 4.5

Periodic Motions

Page 21: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

gyromotion

driftmotion

• Energetic particles in the Earth’s radiation belts undergo three types of periodic motion:

– They gyrate around the magnetic field

– They bounce between the mirror points

bouncemotion

10 kHz

0.1 ms

3 Hz

0.36 s

f

T

1 MeV electron ( = 45o) at L = 4.5

Periodic Motions

Page 22: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Energetic particles in the Earth’s radiation belts undergo three types of periodic motion:

– They gyrate around the magnetic field

– They bounce between the mirror points

– They drift around the Earth

gyromotion

bouncemotion

driftmotion

10 kHz 3 Hz 1 mHz

0.1 ms 0.36 s 15 min

1 MeV electron ( = 45o) at L = 4.5

f

T

Periodic Motions

Page 23: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Each periodic motion is associated with a conserved quantity called an adiabatic invariant.

Adiabatic Invariants

Page 24: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Each periodic motion is associated with a conserved quantity called an adiabatic invariant.

Bm

p

2

2

- First adiabatic invariant is associated with the gyromotion:

Adiabatic Invariants

Page 25: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Each periodic motion is associated with a conserved quantity called an adiabatic invariant.

bounce

dspJ ||

Bm

p

2

2

- First adiabatic invariant is associated with the gyromotion:

- Second adiabatic invariant is associated with the bounce motion:

Adiabatic Invariants

Page 26: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Each periodic motion is associated with a conserved quantity called an adiabatic invariant.

bounce

dspJ ||

Bm

p

2

2

drift

BdS

- First adiabatic invariant is associated with the gyromotion:

- Second adiabatic invariant is associated with the bounce motion:

- Third adiabatic invariant is associated with the drift motion:

Adiabatic Invariants

Page 27: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Each periodic motion is associated with a conserved quantity called an adiabatic invariant.

bounce

dspJ ||

Bm

p

2

2

drift

BdS

- First adiabatic invariant is associated with the gyromotion:

- Second adiabatic invariant is associated with the bounce motion:

- Third adiabatic invariant is associated with the drift motion:

• A given adiabatic invariant is conserved when forces controlling the motion take place on a timescale that is large compared to the associated period of motion.

Adiabatic Invariants

Page 28: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Radial diffusion is an important transport process in the Earth’s radiation

belts:

– driven by fluctuations in the Earth’s electric and magnetic fields on timescales of the drift period

– enhanced by ULF waves [e.g., Hudson et al., 1999; Elkington et al., 1999]

– conserves the first two adiabatic invariants BUT breaks the third adiabatic invariant

Radial Diffusion

Page 29: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Radial Diffusion

• Conservation of first invariant implies:

p2

= 2meB

• Inward radial diffusion leads to significant energisation.

courtesy of M. Lam

L shell

Ene

rgy

(keV

)

Page 30: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Radial Diffusion

• Conservation of first invariant implies:

p2

= 2meB

• Inward radial diffusion leads to significant energisation.

• Outward radial diffusion combined with magnetopause losses can be a significant loss process [Shprits et al., JGR, 2006].

courtesy of M. Lam

L shell

Ene

rgy

(keV

)

Page 31: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Recent new results show that gyroresonant wave-particle interactions play a key role in the Earth’s radiation belts.

• These interactions can occur when the wave frequency, , is Doppler-shifted to a multiple of the relativistic electron gyrofrequency, e.

- k║v║ = ne/

Gyroresonant Wave-Particle Interactions

– k║ is the wave number parallel to the magnetic field

– v║ is the electron velocity parallel to the magnetic field

is the relativistic factor

Page 32: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Gyroresonant Wave-Particle Interactions

• These interactions break the first and second adiabatic invariants.

• Such interactions [e.g., Kennel and Petschek, JGR, 1966] lead to:

– pitch angle scattering and potential loss to the atmosphere

– energy diffusion

Page 33: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Processes associated with the temporal variability of the radiation belts can usually be treated using diffusion theory [e.g., Schulz and Lanzerotti, 1974].

• Timescales associated with acceleration and loss can be determined from the resulting diffusion coefficients.

Diffusion Theory

Page 34: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

PADIE(Pitch Angle and energy Diffusion of Ions and Electrons)

• The PADIE code [Glauert and Horne, JGR, 2005] has been developed to model the effects of electromagnetic waves on charged particles trapped in a magnetic field.

• The code calculates the bounce-averaged, relativistic, diffusion coefficients

Page 35: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

EMIC waves

plasmaspherichiss

magnetopause

plasmaspause

Sun

chorus

• Plasma waves that can lead to efficient gyroresonant wave particle interactions with relativistic electrons include:

- Chorus waves

- Magnetosonic waves

- Plasmaspheric hiss

- EMIC waves.

magnetosonicwaves

Important Wave Modes

Page 36: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Whistler Mode Chorus

• Whistler mode chorus is an intense electromagnetic emission observed outside of the plasmapause in the frequency range 0.1fce < f < 0.8fce.

• The waves are generated by plasma sheet electrons injected during substorms and/or enhanced convection.

Page 37: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Wave Data

chorus waves

plasmapause

plasmapausefuhr

fce

flhr

Meredith et al., JGR, 2004

Page 38: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Enhanced storm-time convection electric fields provide a seed population of outer zone electrons with energies up to a few hundred keV [e.g., Baker et al., ASR, 1998; Obara et al., EPS, 2000].

• Gyroresonant wave-particle interactions with whistler-mode chorus then provide a mechanism for accelerating these seed electrons to relativistic energies [e.g., Horne and Thorne, GRL, 1998].

Gyroresonant Wave Particle Interactions

Page 39: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Iles et al., JGR, 2006

October 9th 1990 Storm

Recovery phase associated with:

Meredith et al., JGR, 2002

Page 40: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

October 9th 1990 Storm

Recovery phase associated with:

– enhanced AE activity

Meredith et al., JGR, 2002

Page 41: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

October 9th 1990 Storm

Recovery phase associated with:

– enhanced AE activity

– enhanced levels of whistler mode chorus

Meredith et al., JGR, 2002

Page 42: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

October 9th 1990 Storm

Recovery phase associated with:

– enhanced AE activity

– enhanced levels of whistler mode chorus

– gradual acceleration of electrons to relativistic energies

Meredith et al., JGR, 2002

Page 43: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Important information on the nature of the acceleration process can be found through phase space density analysis.

Phase Space Density Analysis

Page 44: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Important information on the nature of the acceleration process can be found through phase space density analysis.

• Acceleration by inward radial diffusion driven by positive gradients in the phase space density.

L*

Radial Diffusion

phas

e sp

ace

dens

ity

NASA

Phase Space Density Analysis

Page 45: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Important information on the nature of the acceleration process can be found through phase space density analysis.

• Acceleration by inward radial diffusion driven by positive gradients in the phase space density.

• Local acceleration produces peaks in phase space density.

L*

L*

Radial Diffusion

Local Acceleration

phas

e sp

ace

dens

ity

phas

e sp

ace

dens

ity

NASA

NASA

Phase Space Density Analysis

Page 46: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Phase Space Density Analysis

Iles et al., JGR, 2006

3.0 3.5 4.54.0 5.0 6.56.05.5

L*

10-7

10-8

10-9

f(,

K,L

*) (

cm M

eV/c

)-3

= 550 MeV/G; K = 0.11 G1/2RE

10 11 12 139UT date (September 1990)

Page 47: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Phase Space Density Analysis

Iles et al., JGR, 2006

• Evidence for a developing peak in the electron phase space density at ~ MeV energies.

• Local acceleration plays a key role during the recovery phase of this storm.

3.0 3.5 4.54.0 5.0 6.56.05.5

L*

10-7

10-8

10-9

f(,

K,L

*) (

cm M

eV/c

)-3

= 550 MeV/G; K = 0.11 G1/2RE

10 11 12 139UT date (September 1990)

Page 48: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Developing peaks in the electron PSD have also been observed by Polar.

• Data from multiple satellites show frequent and persistent peaks in the equatorial PSD.

• Local acceleration is an important mechanism for radiation belt dynamics.

Chen et al., Nature Physics, 2007

Green and Kivelson, JGR, 2004

Phase Space Density Analysis

Page 49: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

tAE>100 (days) tAE>300 (days)

Seed flux Chorus power (pT2day)

Rel

ativ

isti

c el

ectr

on f

lux

chan

geR

ela

tivis

tic e

lect

ron

flu

x ch

an

ge

Seed Electrons Chorus Waves

All Substorms Large SubstormsL = 5

Survey of 26 Geomagnetic Storms

Meredith et al., JGR, 2003

Page 50: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

tAE>100 (days) tAE>300 (days)

Seed flux Chorus power (pT2day)

Rel

ativ

isti

c el

ectr

on f

lux

chan

geR

ela

tivis

tic e

lect

ron

flu

x ch

an

ge

Seed Electrons Chorus Waves

All Substorms Large SubstormsL = 5

• Trend for larger relativistic electron flux enhancements to be associated with:

– longer durations of prolonged AE activity

Meredith et al., JGR, 2003

Survey of 26 Geomagnetic Storms

Page 51: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

tAE>100 (days) tAE>300 (days)

Seed flux Chorus power (pT2day)

Rel

ativ

isti

c el

ectr

on f

lux

chan

geR

ela

tivis

tic e

lect

ron

flu

x ch

an

ge

Seed Electrons Chorus Waves

All Substorms Large SubstormsL = 5

• Trend for larger relativistic electron flux enhancements to be associated with:

– longer durations of prolonged AE activity

– larger fluxes of seed electrons

Meredith et al., JGR, 2003

Survey of 26 Geomagnetic Storms

Page 52: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Trend for larger relativistic electron flux enhancements to be associated with:

– longer durations of prolonged AE activity

– larger fluxes of seed electrons

– larger integrated lower-band chorus power

tAE>100 (days) tAE>300 (days)

Seed flux Chorus power (pT2day)

Rel

ativ

isti

c el

ectr

on f

lux

chan

geR

ela

tivis

tic e

lect

ron

flu

x ch

an

ge

Seed Electrons Chorus Waves

All Substorms Large SubstormsL = 5

Meredith et al., JGR, 2003

Survey of 26 Geomagnetic Storms

Page 53: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Energy Diffusion

• Pitch angle and energy diffusion rates for scattering by whistler mode waves depend on:– the wave magnetic field intensity– the frequency distribution of the waves– the ratio fpe/fce

• Relativistic electrons interact most readily with lower-band chorus (Horne and Thorne, GRL, 1998).

• Energy diffusion is most effective in regions of low fpe/fce (Summers et al., JGR, 1998).

Page 54: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Equatorial Region (-15o < λm < 15o)

Moderate

ModerateQuiet

Quiet Active

Active

Meredith et al., GRL, 2003

Page 55: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Equatorial Region (-15o < λm < 15o)

Moderate

ModerateQuiet

Quiet Active

Active

active conditions 4 < L < 6 23 – 13 MLT

Meredith et al., GRL, 2003

Page 56: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Mid-Latitude Region (15o < |λm| < 30o)

Moderate Active

Quiet Moderate Active

Quiet

Meredith et al., GRL, 2003

Page 57: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Mid-Latitude Region (15o < |λm| < 30o)

active conditions4 < L < 606 – 14 MLT

Moderate Active

Quiet Moderate Active

Quiet

Meredith et al., GRL, 2003

Page 58: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Timescale for Acceleration

• Use 1D Fokker-Planck equation to calculate evolution of particle flux.

• Loss and acceleration by chorus are included using the PADIE code with CRRES wave model.

– timescale to increase the flux at 1 MeV by an order of magnitude is ~ 1 day.

– consistent with satellite observations during the recovery phase of storms.

Horne et al., JGR, 2005

L = 4.5

Page 59: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Global Modelling

• Varotsou et al. (GRL, 2005) incorporated radial diffusion and resonant interactions with whistler mode chorus waves in the Salammbô code.

• Salammbô (Beutier and Boscher, JGR, 1995) calculates the change in phase space density from a Fokker-Planck equation.

Page 60: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Fokker-Planck Equation

• Fokker-Planck Equation includes:

– Radial diffusion

Page 61: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Fokker-Planck Equation

• Fokker-Planck Equation includes:

– Radial diffusion

– Pitch angle diffusion

Page 62: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Fokker-Planck Equation

• Fokker-Planck Equation includes:

– Radial diffusion

– Pitch angle diffusion

– Energy diffusion

Page 63: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Fokker-Planck Equation

• Fokker-Planck Equation includes:

– Radial diffusion

– Pitch angle diffusion

– Energy diffusion

– Energy loss due to Coulomb collisions

Page 64: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Results with Radial Diffusion

• Model was set up to find the steady-state solution for Kp = 1.8 that includes chorus and radial diffusion.

• A radiation belt is formed with a peak in the flux near L = 4.5.

• A magnetically active period was simulated by setting Kp = 4 for 4 days.

• With radial diffusion alone peak flux increases and moves to lower L.

Horne et al., AGU, 2006

Page 65: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Results with Radial Diffusion and Chorus

• When chorus was included with radial diffusion:

– 1 MeV flux increases for 3.5 < L < 5.5.

– slight increase in flux at 400 keV

– major decrease in flux of 100 keV electrons inside L = 6.6.

Horne et al., AGU, 2006

Page 66: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Phase Space Density Analysis

• Initial steady state is flat at large L and is in equilibrium with the conditions imposed by the outer boundary condition where radial diffusion is most effective.

• The phase space density falls at low L due to the decrease in efficiency of radial diffusion and the increasing importance of losses.

Horne et al., AGU, 2006

Page 67: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Phase Space Density Analysis

• At low (100 MeV/G)

– Simulation for chorus alone shows a reduction in psd near L = 5.5.

– When radial diffusion is included the radial profile is smoothed resulting in a positive radial gradient from low L out to about L = 6.5.

Horne et al., AGU, 2006

Page 68: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Phase Space Density Analysis

• At high (3000 MeV/G)

– Simulation for chorus alone shows the development of a large peak near L = 5.5.

– When radial diffusion is included the peak is reduced and smoothed by both inward and outward diffusion.

Horne et al., AGU, 2006

Page 69: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Local Acceleration by Whistler Mode Chorus

• Local acceleration by whistler mode chorus plays a major role in the dynamics of the outer radiation belt during extended periods of enhanced magnetic activity .

Page 70: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Magnetosonic Waves

• intense electromagnetic emissions, fcp < f < flhr

• compressional waves, propagate across B0

• generated by proton ring distributions [Boardsen et al., JGR, 1992]

Cluster 3 - 25 November 2002magnetosonic waves

Page 71: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Global Distribution of Magnetosonic Waves

• Note: Low frequency limit of CRRES PWE restricts frequency and L shell coverage.

Meredith et al., JGR, 2008

Page 72: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Global Distribution of Magnetosonic Waves

Strongest waves:• active conditions• most local times

• Note: Low frequency limit of CRRES PWE restricts frequency and L shell coverage.

Meredith et al., JGR, 2008

Page 73: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Global Distribution of Magnetosonic Waves

Strongest waves:• active conditions• dusk side

Strongest waves:• active conditions• most local times

• Note: Low frequency limit of CRRES PWE restricts frequency and L shell coverage.

Meredith et al., JGR, 2008

Page 74: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Global Distribution of Magnetosonic Waves

• Wave power increases with increasing magnetic activity suggesting they are related to periods of enhanced convection and/or substorm activity.

Strongest waves:• active conditions• dusk side

Strongest waves:• active conditions• most local times

Page 75: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Energy Diffusion Rates at L = 4.5

• Energy diffusion rates have been estimated using Cluster wave observations and the PADIE code.

• Timescale of the order of a day

– 0.3 < E < 1 MeV outside the plasmapause

– 0.03 < E < 0.3 MeV inside the plasmapause

Outside plasmapause

Inside plasmapause

day

day

Horne et al., GRL, 2007

Magnetosonic waves may provide a

significant energy transfer process

between the ring current and the outer

radiation belt.

Page 76: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Local Acceleration by Magnetosonic Waves

Local acceleration by magnetosonic waves may also play an important

role in radiation belt dynamics.

Page 77: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Loss Mechanisms

• Several wave modes contribute to pitch angle scattering and subsequent loss to the atmosphere.

• Three potentially important loss processes – the scattering due to gyro-resonant interactions with:

– Plasmaspheric hiss

– EMIC waves

– Chorus waves

Page 78: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Plasmaspheric Hiss

• Plasmaspheric hiss is a broadband, structureless, ELF emission that occurs in the frequency range from 100 Hz to several kHz.

• This whistler mode emission is confined to the higher density

regions associated with the plasmasphere or plasmaspheric plumes.

Page 79: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Wave Data

hiss hiss

plasmapause

plasmapausefuhr

fce

flhr

Meredith et al., JGR, 2004

Page 80: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

moderatequiet active

quiet moderate active

Global Distribution of Plasmaspheric Hiss

Meredith et al., JGR, 2004

Page 81: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

moderatequiet active

quiet moderate active

active2 < L < 406 – 21 MLT

Global Distribution of Plasmaspheric Hiss

Meredith et al., JGR, 2004

Page 82: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

moderatequiet active

quiet moderate active

active2 < L < 406 – 21 MLT

active2 < L < 409 – 18 MLT

Global Distribution of Plasmaspheric Hiss

Meredith et al., JGR, 2004

Page 83: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Origin of Plasmaspheric Hiss

Bortnik et al., Nature, 2008

• Ray tracing studies show that chorus waves can propagate into the plasmasphere and evolve into plasmaspheric hiss.

• Results account for the

essential features of hiss.

Page 84: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Slot Region Loss Timescales

• Slot region can become filled during exceptionally large storms such as the Halloween Storms of 2003.

• Slot region subsequently reforms.

• Loss timescales for 2-6 MeV electrons at L = 2.5 estimated to be of the order of 2.9 – 4.6 days.

• The dominant loss process must be able to explain this decay.

Baker et al., Nature, 2004

SAMPEX 2-6 MeV Electrons

slot

Page 85: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

f < 2 kHz

f > 2 kHz

f > 2 kHz

• Broadband plasmaspheric emissions can be split into two categories [Meredith et al., 2006]:

– Plamaspheric hiss• 100 Hz < f < 2 kHz• generated by whistler mode

chorus

– MR whistlers• 2 kHz < f < 5 kHz • produced by thunderstorms

on Earth

Broadband Plasmaspheric Emissions

Page 86: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Calculation of Losses Due To Hiss

• Use global models of the wave spectral intensity based on CRRES observations.

• Calculate bounce-averaged pitch angle rates using the PADIE code.

• Loss timescale calculated using the 1D pitch angle diffusion equation following Lyons et al., [1972].

Meredith et al., JGR, 2007

Page 87: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Slot Region Loss Timescales

Active Conditions (AE* > 500 nT)Quiet Conditions (AE* < 100 nT)

MR Whistlers

• Loss timescales due to MR whistlers are prohibitively long.

Meredith et al., JGR, 2007

L = 2.5

Page 88: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Slot Region Loss Timescales

Quiet Conditions (AE* < 100 nT)

Hiss (m = 80o )

Quiet Conditions (AE* < 100 nT)Active Conditions (AE* > 500 nT)

• Loss timescales due to hiss propagating at large wave normal angles are also prohibitively long.

Meredith et al., JGR, 2007

L = 2.5

Page 89: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Slot Region Loss Timescales

Quiet Conditions (AE* < 100 nT)Quiet Conditions (AE* < 100 nT)Active Conditions (AE* > 500 nT)

Hiss (m = 52o)

• Hiss propagating at medium wave normal angles can lead to loss timescales of the order of 10 days during active conditions.

Meredith et al., JGR, 2007

L = 2.5

Page 90: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Slot Region Loss Timescales

Quiet Conditions (AE* < 100 nT)Quiet Conditions (AE* < 100 nT)Active Conditions (AE* > 500 nT)

Hiss (m = 0o)• Hiss propagating at small wave

normal angles can lead to loss timescales of the order of 1 – 10 days depending on magnetic activity.

• Hiss propagating at small wave normal angles is largely responsible for the formation of the slot region.

Meredith et al., JGR, 2007

L = 2.5

Page 91: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Quiet-time Decay

Experimental loss timescale is 5.70.6 days

Meredith et al., JGR, 2006

Page 92: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Quiet-time Decay

Meredith et al., JGR, 2006

Experimental loss timescale is 2.00.1 days

Page 93: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Quiet Time Loss Timescales

• Quiet time loss timescales in the outer radiation belt increase with increasing energy.

• Loss timescales range from

– 1.5 – 3.5 days for 214 keV electrons

– 5.5 – 6.5 days for 1.09 MeV electrons

Meredith et al., JGR, 2006

L shell

Loss

tim

esca

le (

days

)

Loss Timescale versus L shell

Page 94: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Quiet Time Loss Timescales

• Quiet-time decay associated with:

– Large values of fpe/fce (> 7)

– <Kp> < 3-

Meredith et al., JGR, 2006

L shell

L shell

Kp index versus L shell

fpe/fce versus L shell

Kp

in

de

xfp

e/f

ce

Page 95: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Calculation of Quiet Time Losses Due To Hiss

• Use the PADIE code and the 1D pitch angle diffusion equation.

• Use a wave model based on CRRES observations for Kp < 3-.

Meredith et al., JGR, 2006

Page 96: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Comparison with QL Diffusion due to Hiss

• Plasmaspheric hiss propagating at small and/or medium wave normal angles can explain much of the observed quiet time decay.

• Plasmaspheric hiss propagating at large wave normal angles does not contribute to the loss rates

Meredith et al., JGR, 2006

Page 97: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Comparison with QL Diffusion due to Hiss

• MeV loss timescales overestimated by a factor of 5 in region 4.5 < L < 5.0.

• EMIC waves may play a role in this region.

Meredith et al., JGR, 2006

Page 98: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Loss Timescales During Active Conditions

• During active conditions loss timescales can be of the order of a day or less in the region 3.0 < L < 4.0

• Plasmaspheric hiss could thus play an important role in the loss of energetic electrons in the inner region of the outer radiation belt during enhanced magnetic activity.

Summers et al., JGR, 2007

Page 99: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Hiss in Plasmaspheric Plumes

• Plasmaspheric hiss is also observed in plasmaspheric plumes

Summers et al., JGR, 2008

Page 100: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Loss Timescales in Plasmaspheric Plumes

• Loss timescales estimated to be:

– days to tens of days at 1 MeV

– hours to a day at 100 keV

• Hiss in plumes can efficiently scatter energetic electrons.

Summers et al., JGR, 2008

Page 101: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• During active conditions losses due to plasmaspheric hiss may occur on a timescale of 1 day or less and may play an important role during the main phase of magnetic storms.

Role of Plasmaspheric Hiss

• During quiet conditions losses due to plasmaspheric hiss occur on a timescale of several days or more and can explain the quiet time decay of radiation belt fluxes.

Page 102: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

EMIC Waves

• EMIC waves are low frequency waves (0.1-5 Hz) which are excited in bands below the proton gyrofrequency.

• They are generated by medium energy (1-100 keV) ring current ions injected during storms and substorms.

• They are able to resonate with MeV electrons causing pitch angle scattering and loss to the atmosphere.

He+

O+

Figure courtesy of Brian Fraser

Page 103: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• EMIC waves are primarily observed between 13:00 and 19:00 MLT over a range of L shells > 3.

Location of Events

Meredith et al., JGR, 2003

Page 104: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Spatial Distribution

• The L-mode minimum resonant energies fall below 2 MeV during ~12.5 % of the observations.

• These lower energy events occur outside L=4.5.

• The R-mode minimum resonant energies tend to be greater than 2 MeV.

Meredith et al., JGR, 2003

Page 105: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Dependence on fpe/fce

• The L-mode minimum resonant energies fall below 2 MeV in high density regions where fpe/fce > 10.

• Such conditions are found in regions of high plasma density and low magnetic field such as the dusk-side plasmasphere or plasmaspheric plumes.

Meredith et al., JGR, 2003

Page 106: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Dependence on Frequency

• The L-mode minimum resonant energies are sensitive to the normalised frequency.

• The lower energy events occur over a range of frequencies below the helium ion gyrofrequency.

Meredith et al., JGR, 2003

Page 107: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Dependence on Frequency

• For lower concentrations of heavy ions the lower energy events can also occur over a range of frequencies below the hydrogen ion gyrofrequency.

Meredith et al., JGR, 2003

Page 108: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Dependence on Dst Index

Meredith et al., JGR, 2003

• The L-mode electron minimum resonant energies may fall below 2 MeV for almost any value of the Dst index.

Page 109: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Dependence on Dst Index

Meredith et al., JGR, 2003

• The L-mode electron minimum resonant energies may fall below 2 MeV for almost any value of the Dst index.

• The majority (84%) of the lower energy events occur during storms.

• The L-mode minimum electron resonant energies can fall below 2 MeV during the initial phase of a storm when the Dst index is positive.

Page 110: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Proton Minimum Resonant Energies

• Electron minimum energies below 2 MeV are associated with proton minimum resonant energies below 2 keV.

• This interesting new result suggests that EMIC waves which resonate with ~MeV electrons are produced by ~keV protons.

Meredith et al., JGR, 2003

Page 111: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Loss timescale near equatorial loss cone:

– ~1 hour for 2 MeV electrons.

– several hours for 1 MeV electrons.

Pitch Angle, (o)D

(

s -1)

Bw = 1 nT1% drift averaging

Summers et al., JGR, 2007

Scattering Rates in the Helium Band

Page 112: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Analysis of an EMIC wave event on CRRES at the start of the main phase of a storm show:

– Emin falls in the 1-2 MeV range

– D is comparable to SD limit

– suggesting enhanced MeV precipitation.

Loto’aniu et al., JGR, 2006

20 40 60 80

Pitch angle, (o)

DSD

DSD

Case Study – EMIC Wave Event

Page 113: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Relativistic electrons observed to drop by an order of magnitude during the event.

• Results consistent with the suggestion that EMIC waves may lead to substantial loss of relativistic electrons during the main phase of geomagnetic storms.

Loto’aniu et al., JGR, 2006

Case Study – EMIC Wave Event

Page 114: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Nine REP events were observed by the GeD instrument on board the MAXIS balloon.

• The events lasted from minutes-to-hours and covered a range of L shells from L = 3.8 to L = 7.0.

• The events were restricted to the afternoon/dusk sectors consistent with EMIC scattering.

Dusk

Dawn

Millan et al., GRL, 2002

Evidence for Relativistic Electron Precipitation

Page 115: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Role of EMIC Waves

• Losses due to EMIC waves may occur on a timescale of several hours to a day and are likely to play an important role during the main phase of magnetic storms.

Page 116: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Losses due to Chorus

• Relativistic electrons near the loss cone can also resonate with chorus at high geomagnetic latitudes.

• Bursty nature of chorus leads to < 1 second intensifications of precipitation known as microbursts.

Lorentzen et al., JGR, 2001

Page 117: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Microburst precipitation observed by SAMPEX– outside the plasmapause– on the dawnside– near L = 5.

• Peak rates in the dawn to noon sector.

• Similar to the distribution of high latitude chorus waves.

O’Brien et al., JGR, 2003

Microburst Precipitation

Page 118: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

• Comparison between precipitating flux observed by SAMPEX and the trapped flux measured by Polar.

• Effective lifetimes are of the order of 1 day.

Thorne et al., JGR, 2005

1 day

Microburst Loss Rates – Case Study

Page 119: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Losses due to Chorus

• Bounce-averaged diffusion rates for 100 pT chorus waves at L = 4 show:

– loss timescales near the loss cone due to chorus can approach 1 day.

– requires chorus at latitudes greater than 300.

Thorne et al., JGR, 2005

mb = 1 day

Page 120: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Microburst Precipitation

• Losses are sensitive to changes in trough plasma density.

• Losses expected to be of the order of a day or less outside the plasmapause during the main phase of a storm.

• Lifetimes subsequently increase during the storm recovery phase as densities increase.

mb = 1 day

Thorne et al., JGR, 2005

Page 121: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Dual Role of Whistler-Mode Chorus

• Local acceleration by whistler mode chorus plays a major role in the dynamics of the outer radiation belt during extended periods of enhanced magnetic activity.

• Losses due to whistler mode chorus may occur on a timescale of 1 day or less and may play an important role during the main phase of magnetic storms.

Page 122: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Importance of Plasmasphere

• Electron acceleration and loss by VLF chorus takes place in the low density region outside the plasmapause.

• Losses due to hiss and EMIC waves take place in the high density plasmasphere and plasmaspheric plumes.

Summers et al., JGR, 1998

Page 123: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Importance of Plasmasphere

Summers et al., JGR, 1998

• The generation and global distribution of energetic electrons are thus greatly influenced by the cold plasma.

Page 124: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

magnetopause

plasmaspause

Sun

Conclusions

Chorus

• Chorus waves are an important acceleration and loss mechanism for electrons with energies from 0.1 to a few MeV.

Page 125: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

magnetopause

plasmaspause

Sun

Conclusions

Chorusmagnetosonicwaves

• Chorus waves are an important acceleration and loss mechanism for electrons with energies from 0.1 to a few MeV.

• Magnetosonic waves may be an important acceleration mechanism.

Page 126: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

plasmaspherichiss

magnetopause

plasmaspause

Sun

Conclusions

Chorusmagnetosonicwaves

• Chorus waves are an important acceleration and loss mechanism for electrons with energies from 0.1 to a few MeV.

• Magnetosonic waves may be an important acceleration mechanism.

• Plasmaspheric hiss is a major loss process for electron energies from 0.1 to a few MeV

Page 127: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

EMIC waves

plasmaspherichiss

magnetopause

plasmaspause

Sun

Conclusions

Chorus

• Chorus waves are an important acceleration and loss mechanism for electrons with energies from 0.1 to a few MeV.

• Magnetosonic waves may be an important acceleration mechanism.

• Plasmaspheric hiss is a major loss process for electron energies from 0.1 to a few MeV

• EMIC waves are an important loss mechanism for MeV electrons.

magnetosonicwaves

Page 128: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Outstanding Science Questions

1. What are the relative roles of the following processes in the acceleration of outer radiation belt electrons ?

– Inward radial diffusion

– Local acceleration by:

• whistler mode chorus

• magnetosonic waves

• Z mode waves

Page 129: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Outstanding Science Questions

2. What are the relative roles of the following processes affecting the loss of outer radiation belt electrons ?

– Outward radial diffusion and loss to the magnetopause

– Losses due to gyroresonant wave particle interactions with:

• EMIC waves

• plasmaspheric hiss

• whistler mode chorus

Page 130: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Future Satellite Missions

• These key questions will be addressed by ongoing studies and two new satellite missions:

– NASA Radiation Belt Storm Probes Mission (proposed launch: April 2012)

– Canadian ORBITALS Mission (proposed launch: 2011-2013)

Page 131: Local Acceleration and Loss of Relativistic Electrons in the Earth’s Outer Radiation Belt

Acknowledgment

• I would like to thank the National Science Foundation for providing support for this visit.