A particle approximation for the relativistic Vlasov-Maxwell dynamics

Dustin Lazarovici

A particle approximation for the relativistic Vlasov-Maxwell dynamics

Mathematical Physics 2016-02-24 v1 math.MP

Authors: Dustin Lazarovici

Abstract

We present a microscopic derivation of the 3-dimensional relativistic Vlasov-Maxwell system as a combined mean field and point-particle limit of an $N$ -particle system of rigid charges with $N$ -dependent radius. The approximation holds for typical initial particle configurations, implying in particular propagation of chaos for the respective dynamics.

Keywords

vlasov equation and kinetic plasma theory relativistic atomic physics variational methods in physics

Cite

@article{arxiv.1602.07251,
  title  = {A particle approximation for the relativistic Vlasov-Maxwell dynamics},
  author = {Dustin Lazarovici},
  journal= {arXiv preprint arXiv:1602.07251},
  year   = {2016}
}