Prague Synergy 2013: Abstract

Massimo TessarottoMassimo Tessarotto Department of Mathematics and Geosciences, University of Trieste, Trieste, Italy Claudio Cremaschini Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Bezru\v{c}ovo n\'{a}m.13, CZ-74601 Opava, 45 min

Kinetic theory of relativistic extended charged particles subject to EM radiation reaction

The subject of the Note is the Vlasov-Maxwell statistical description of classical $N-$body systems for extended charged particles (ECP) in the presence of EM radiation-reaction (EM-RR). When binary collisions are neglected, an overriding physical requirement for such systems is the conservation of the Boltzmann-Shannon (BS) statistical entropy (constant H-theorem). The customary approach adopted in the literature is based on the relativistic Landau-Lifschitz (LL) equation. Such a treatment gives rise to a generally non-vanishing BS entropy production rate and hence an apparent irreversible behavior for such $N-$body systems. Based on recent theoretical developments (Cremaschini and Tessarotto, 2011-2013), in this Note the issue is addressed of the first-principle construction of the kinetic treatment for ECPs which overcomes such a difficulty.