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## A kinetic model of radiating electrons

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Published

### Standard

A kinetic model of radiating electrons. / Noble, Adam; Gratus, Jonathan; Burton, David; Jaroszynski, Dino.

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

Research output: Contribution to journalJournal articlepeer-review

### Harvard

Noble, A, Gratus, J, Burton, D & Jaroszynski, D 2013, 'A kinetic model of radiating electrons', Journal of Mathematical Physics, vol. 54, no. 4, 043101. https://doi.org/10.1063/1.4798796

### APA

Noble, A., Gratus, J., Burton, D., & Jaroszynski, D. (2013). A kinetic model of radiating electrons. Journal of Mathematical Physics, 54(4), [043101]. https://doi.org/10.1063/1.4798796

### Vancouver

Noble A, Gratus J, Burton D, Jaroszynski D. A kinetic model of radiating electrons. Journal of Mathematical Physics. 2013;54(4). 043101. https://doi.org/10.1063/1.4798796

### Author

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

### Bibtex

@article{1d826770c09d4143993523f5ff808abd,
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 $\tau := q^2/ 6\pi m$. 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.",
author = "Adam Noble and Jonathan Gratus and David Burton and Dino Jaroszynski",
note = "Open Access Content (see the article's web page).",
year = "2013",
doi = "10.1063/1.4798796",
language = "English",
volume = "54",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "4",

}

### RIS

TY - JOUR

T1 - A kinetic model of radiating electrons

AU - Gratus, Jonathan

AU - Burton, David

AU - Jaroszynski, Dino

N1 - Open Access Content (see the article's web page).

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 $\tau := q^2/ 6\pi m$. 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 $\tau := q^2/ 6\pi m$. 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.

U2 - 10.1063/1.4798796

DO - 10.1063/1.4798796

M3 - Journal article

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

M1 - 043101

ER -