Poisson-Vlasov : Stochastic representation and numerical codes

Details Poisson-Vlasov : Stochastic representation and numerical codes Poisson-Vlasov : Stochastic representation and numerical codes

2007-07-10

arxiv.org/abs/0707.1409v1

European Physical Journal D 46 (2008) 295-302 and 407

Physics

Plasma Physics

17 pages, 5 figures

Scientific paper

10.1140/epjd/e2007-00326-y

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

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