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29 March 2024
 
  » arxiv » math-ph/0401012

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The Darwin Approximation of the Relativistic Vlasov-Maxwell System
Sebastian Bauer ; Markus Kunze ;
Date 7 Dec 2003
Subject Mathematical Physics | math-ph math.MP
AbstractWe 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 $c$ is considered as a parameter then it is known that in the Newtonian limit $c oinfty$ 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.
Source arXiv, math-ph/0401012
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