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A kinetic model of radiating electrons

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

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    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: 01 Oct 2014 09:34
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/59389

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