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

Research output: Contribution to journal › Journal article › peer-review

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

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

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

@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",

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T1 - A kinetic model of radiating electrons

AU - Noble, Adam

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

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ER -