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A kinetic model of radiating electrons

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Article number043101
<mark>Journal publication date</mark>2013
<mark>Journal</mark>Journal of Mathematical Physics
Issue number4
Number of pages8
<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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