The European Physical Journal D

, Volume 46, Issue 2, pp 295–302

Poisson-Vlasov: stochastic representation and numerical codes

Plasma Physics

Abstract.

A stochastic representation for the solutions of the Poisson-Vlasov equation, with several charged species, is obtained. The representation involves both an exponential and a branching process and it provides an intuitive characterization of the nature of the solutions and its fluctuations. Here, the stochastic representation is also proposed as a tool for the numerical evaluation of the solutions.

PACS.

52.20.-j Elementary processes in plasmas 52.65.Ff Fokker-Planck and Vlasov equation 05.10.Gg Stochastic analysis methods 

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Centre de Physique Théorique, CNRS LuminyMarseille Cedex 9France
  2. 2.Centro de Fusão Nuclear, EURATOM/IST Association, Instituto Superior TécnicoLisboaPortugal
  3. 3.CMAF, Complexo Interdisciplinar, Universidade de LisboaLisboaPortugal

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