Kinetic theory of radiation reaction

Adam Noble, Dino Jaroszynski, Jonathan Gratus, David Burton

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Abstract

The development of ultra-high intensity laser facilities requires a detailed understanding of how accelerating charged particles interact with their own radiation fields. The Abraham-Lorentz-Dirac (ALD) equation - the standard description of radiation reaction - is beset with difficulties, but when handled with care can provide useful information.
A kinetic theory has been developed, based on the exact ALD equation. Although the
unphysical solutions of the ALD equation obstruct the reduction of this theory to the
usual Vlasov-Maxwell system in the appropriate limit, its moments give rise to a
fluid theory which does have the correct limiting behaviour. As a simple illustration of the theory, the radiative damping of Langmuir waves gives rise to a modified dispersion relation. A new unphysical instability is found, originating from the runaway solutions of
the ALD equation, which must be rejected, leaving the physical solutions which display
the correct slow damping.
LanguageEnglish
Title of host publicationCentral Laser Facility Annual Report 2010-2011
EditorsBrian Wyborn
Pages28
Number of pages1
Publication statusPublished - 2011

Fingerprint

Dirac equation
kinetic theory
radiation
damping
radiation distribution
high power lasers
charged particles
moments

Keywords

  • radiation reaction
  • lasers

Cite this

Noble, A., Jaroszynski, D., Gratus, J., & Burton, D. (2011). Kinetic theory of radiation reaction. In B. Wyborn (Ed.), Central Laser Facility Annual Report 2010-2011 (pp. 28)
Noble, Adam ; Jaroszynski, Dino ; Gratus, Jonathan ; Burton, David. / Kinetic theory of radiation reaction. Central Laser Facility Annual Report 2010-2011. editor / Brian Wyborn. 2011. pp. 28
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Noble, A, Jaroszynski, D, Gratus, J & Burton, D 2011, Kinetic theory of radiation reaction. in B Wyborn (ed.), Central Laser Facility Annual Report 2010-2011. pp. 28.

Kinetic theory of radiation reaction. / Noble, Adam; Jaroszynski, Dino; Gratus, Jonathan; Burton, David.

Central Laser Facility Annual Report 2010-2011. ed. / Brian Wyborn. 2011. p. 28.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

TY - CHAP

T1 - Kinetic theory of radiation reaction

AU - Noble, Adam

AU - Jaroszynski, Dino

AU - Gratus, Jonathan

AU - Burton, David

PY - 2011

Y1 - 2011

N2 - The development of ultra-high intensity laser facilities requires a detailed understanding of how accelerating charged particles interact with their own radiation fields. The Abraham-Lorentz-Dirac (ALD) equation - the standard description of radiation reaction - is beset with difficulties, but when handled with care can provide useful information.A kinetic theory has been developed, based on the exact ALD equation. Although theunphysical solutions of the ALD equation obstruct the reduction of this theory to theusual Vlasov-Maxwell system in the appropriate limit, its moments give rise to afluid theory which does have the correct limiting behaviour. As a simple illustration of the theory, the radiative damping of Langmuir waves gives rise to a modified dispersion relation. A new unphysical instability is found, originating from the runaway solutions ofthe ALD equation, which must be rejected, leaving the physical solutions which displaythe correct slow damping.

AB - The development of ultra-high intensity laser facilities requires a detailed understanding of how accelerating charged particles interact with their own radiation fields. The Abraham-Lorentz-Dirac (ALD) equation - the standard description of radiation reaction - is beset with difficulties, but when handled with care can provide useful information.A kinetic theory has been developed, based on the exact ALD equation. Although theunphysical solutions of the ALD equation obstruct the reduction of this theory to theusual Vlasov-Maxwell system in the appropriate limit, its moments give rise to afluid theory which does have the correct limiting behaviour. As a simple illustration of the theory, the radiative damping of Langmuir waves gives rise to a modified dispersion relation. A new unphysical instability is found, originating from the runaway solutions ofthe ALD equation, which must be rejected, leaving the physical solutions which displaythe correct slow damping.

KW - radiation reaction

KW - lasers

UR - http://www.clf.rl.ac.uk/resources/PDF/ar10-11_frontcover_overview_foreword_ei.pdf

UR - http://www.clf.rl.ac.uk/resources/PDF/ar10-11_hpl_section.pdf

M3 - Other chapter contribution

SN - 978-0-9556616-7-9

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BT - Central Laser Facility Annual Report 2010-2011

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Noble A, Jaroszynski D, Gratus J, Burton D. Kinetic theory of radiation reaction. In Wyborn B, editor, Central Laser Facility Annual Report 2010-2011. 2011. p. 28