A kinetic model of radiating electrons

Adam Noble; David Burton; Jonathan Gratus; Dino Jaroszynski

doi:10.1063/1.4798796

A kinetic model of radiating electrons

Adam Noble, David Burton, Jonathan Gratus, Dino Jaroszynski

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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.

Original language	English
Article number	043101
Number of pages	8
Journal	Journal of Mathematical Physics
Volume	54
Issue number	4
DOIs	https://doi.org/10.1063/1.4798796
Publication status	Published - 2013

Keywords

electrons
kinetic models
radiation reaction

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10.1063/1.4798796

Noble-etal-JMP2013-a-kinetic-model-of-radiating-electronsFinal published version, 119 KBLicence: CC BY 4.0

Cite this

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title = "A kinetic model of radiating electrons",

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.",

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volume = "54",

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T1 - A kinetic model of radiating electrons

AU - Noble, Adam

AU - Burton, David

AU - Gratus, Jonathan

AU - Jaroszynski, Dino

PY - 2013

Y1 - 2013

N2 - 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.

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.

KW - electrons

KW - kinetic models

KW - radiation reaction

UR - http://iopscience.iop.org/1751-8121

U2 - 10.1063/1.4798796

DO - 10.1063/1.4798796

M3 - Article

SN - 0022-2488

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

M1 - 043101

ER -

A kinetic model of radiating electrons

Abstract

Keywords

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LaserLab Europe - The Integrated Initiative of European Laser Research Infrastructures II (FP7 Research Infrastructures)

Extreme light infrastructure (ELI)

HARNESSING LASER-DRIVEN PLASMA WAVES AS PARTICLE AND RADIATION SOURCES

Cite this

A kinetic model of radiating electrons

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Projects

LaserLab Europe - The Integrated Initiative of European Laser Research Infrastructures II (FP7 Research Infrastructures)

Extreme light infrastructure (ELI)

HARNESSING LASER-DRIVEN PLASMA WAVES AS PARTICLE AND RADIATION SOURCES

Cite this