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arxiv: 0707.1409 · v1 · pith:I3MQERXUnew · submitted 2007-07-10 · ⚛️ physics.plasm-ph

Poisson-Vlasov : Stochastic representation and numerical codes

classification ⚛️ physics.plasm-ph
keywords representationsolutionsstochasticnumericalpoisson-vlasovbranchingcharacterizationcharged
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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

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