Noble, Adam and Gratus, Jonathan and Burton, David and Jaroszynski, Dino (2013) *A kinetic model of radiating electrons.* Journal of Mathematical Physics, 54 (4). ISSN 0022-2488

| PDF - Published Version Available under License Creative Commons Attribution. Download (427Kb) | Preview |

## 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.

Item Type: | Article |
---|---|

Journal or Publication Title: | Journal of Mathematical Physics |

Additional Information: | Open Access Content (see the article's web page). |

Subjects: | Q Science > QC Physics |

Departments: | Faculty of Science and Technology > Physics |

ID Code: | 59389 |

Deposited By: | ep_importer_pure |

Deposited On: | 22 Oct 2012 16:59 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 18 Nov 2015 09:52 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/59389 |

### Actions (login required)

View Item |