# 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

 Preview
PDF - Published Version
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.