### Abstract

Original language | English |
---|---|

Article number | 043101 |

Number of pages | 8 |

Journal | Journal of Mathematical Physics |

Volume | 54 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2013 |

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### Keywords

- electrons
- kinetic models
- radiation reaction

### Cite this

*Journal of Mathematical Physics*,

*54*(4), [043101]. https://doi.org/10.1063/1.4798796

}

*Journal of Mathematical Physics*, vol. 54, no. 4, 043101. https://doi.org/10.1063/1.4798796

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

Research output: Contribution to journal › Article

TY - JOUR

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

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

M1 - 043101

ER -