Poisson-Vlasov: stochastic representation and numerical codes
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- Floriani, E., Lima, R. & Vilela Mendes, R. Eur. Phys. J. D (2008) 46: 295. doi:10.1140/epjd/e2007-00302-7
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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.