A stochastic representation for the Poisson-Vlasov equation

Details A stochastic representation for the Poisson-Vlasov equation A stochastic representation for the Poisson-Vlasov equation

2006-11-20

arxiv.org/abs/physics/0611186v1

Commun. Nonlinear Science and Num. Simulation 13 (2008) 221-226

Physics

Plasma Physics

9 Pages, 1 figure, VLASOVIA 2006

Scientific paper

A stochastic representation for the solutions of the Poisson-Vlasov equation
is obtained. The representation involves both an exponential and a branching
process. The stochastic representation, besides providing an alternative
existence proof and an intuitive characterization of the solutions, may also be
used to obtain an intrinsic definition of the fluctuations.

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