The European Physical Journal D

, Volume 46, Issue 2, pp 295–302

Poisson-Vlasov: stochastic representation and numerical codes

Plasma Physics

DOI: 10.1140/epjd/e2007-00302-7

Cite this article as:
Floriani, E., Lima, R. & Vilela Mendes, R. Eur. Phys. J. D (2008) 46: 295. doi:10.1140/epjd/e2007-00302-7


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.


52.20.-j Elementary processes in plasmas52.65.Ff Fokker-Planck and Vlasov equation05.10.Gg Stochastic analysis methods

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