**A kinetic model of radiating electrons**427 KB, PDF-document

3/11/15

Research output: Contribution to journal › Journal article

Published

Article number | 043101 |
---|---|

<mark>Journal publication date</mark> | 2013 |

<mark>Journal</mark> | Journal of Mathematical Physics |

Issue number | 4 |

Volume | 54 |

Number of pages | 8 |

<mark>State</mark> | Published |

<mark>Original language</mark> | English |

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.

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