A particle approximation for the relativistic Vlasov-Maxwell dynamics

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.

References in corpus (3)

• The Vlasov-Poisson dynamics as the mean field limit of extended charges
• On the initial value formulation of classical electrodynamics
• Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density

Cited by in corpus (1)

• Combined Mean Field Limit and Non-relativistic Limit of Vlasov-Maxwell Particle System to Vlasov-Poisson System