Vlasov scaling for stochastic dynamics of continuous systems

Details Vlasov scaling for stochastic dynamics of continuous systems Vlasov scaling for stochastic dynamics of continuous systems

2010-02-25

arxiv.org/abs/1002.4698v2

Physics

Mathematical Physics

23 pages

Scientific paper

We describe a general scheme of derivation of the Vlasov-type equations for Markov evolutions of particle systems in continuum. This scheme is based on a proper scaling of corresponding Markov generators and has an algorithmic realization in terms of related hierarchical chains of correlation functions equations. Several examples of the realization of the proposed approach in particular models are presented.

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