The Darwin Approximation of the Relativistic Vlasov-Maxwell System
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
We study the relativistic Vlasov-Maxwell system which describes large systems of particles interacting by means of their collectively generated forces. If the speed of light is considered as a parameter then it is known that in the Newtonian limit the Vlasov-Poisson system is obtained. In this paper we determine the next order approximate system, which in the case of individual particles usually is called the Darwin approximation.
Keywords
Cite
@article{arxiv.math-ph/0401012,
title = {The Darwin Approximation of the Relativistic Vlasov-Maxwell System},
author = {Sebastian Bauer and Markus Kunze},
journal= {arXiv preprint arXiv:math-ph/0401012},
year = {2009}
}