A kinetic model of radiating electrons

Adam Noble, David Burton, Jonathan Gratus, Dino Jaroszynski

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an equation for the evolution of the physical submanifold of phase space. The pathological solutions of the 1-particle theory may be removed by expanding the latter equation in powers of τ ≔ q 2/6πm. The radiation-induced change in entropy is explored and its physical origin is discussed. As a simple demonstration of the theory, the radiative damping rate of longitudinal plasma waves is calculated.
LanguageEnglish
Article number043101
Number of pages8
JournalJournal of Mathematical Physics
Volume54
Issue number4
DOIs
Publication statusPublished - 2013

Fingerprint

Kinetic Model
Electron
Vlasov Equation
particle theory
vlasov equations
kinetics
Dirac Equation
Kinetic Theory
plasma waves
Dirac equation
kinetic theory
Generalized Equation
Submanifolds
Phase Space
Damping
electrons
Plasma
damping
Entropy
Radiation

Keywords

  • electrons
  • kinetic models
  • radiation reaction

Cite this

Noble, Adam ; Burton, David ; Gratus, Jonathan ; Jaroszynski, Dino. / A kinetic model of radiating electrons. In: Journal of Mathematical Physics. 2013 ; Vol. 54, No. 4.
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A kinetic model of radiating electrons. / Noble, Adam; Burton, David; Gratus, Jonathan; Jaroszynski, Dino.

In: Journal of Mathematical Physics, Vol. 54, No. 4, 043101, 2013.

Research output: Contribution to journalArticle

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AU - Noble, Adam

AU - Burton, David

AU - Gratus, Jonathan

AU - Jaroszynski, Dino

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AB - A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an equation for the evolution of the physical submanifold of phase space. The pathological solutions of the 1-particle theory may be removed by expanding the latter equation in powers of τ ≔ q 2/6πm. The radiation-induced change in entropy is explored and its physical origin is discussed. As a simple demonstration of the theory, the radiative damping rate of longitudinal plasma waves is calculated.

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KW - kinetic models

KW - radiation reaction

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