A kinetic model of radiating electrons

Adam Noble, David Burton, Jonathan Gratus, Dino Jaroszynski

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8 Citations (Scopus)
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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 τ ≔ q 2/6πm. 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.
Original languageEnglish
Article number043101
Number of pages8
JournalJournal of Mathematical Physics
Issue number4
Publication statusPublished - 2013


  • electrons
  • kinetic models
  • radiation reaction


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