Poisson-Vlasov : Stochastic representation and numerical codes
arXiv:0707.1409 · doi:10.1140/epjd/e2007-00326-y
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
17 pages, 5 figures