Poisson-Vlasov: stochastic representation and numerical codes
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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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