Vlasov scaling for the Glauber dynamics in continuum

Details Vlasov scaling for the Glauber dynamics in continuum Vlasov scaling for the Glauber dynamics in continuum

2010-02-25

arxiv.org/abs/1002.4762v3

Physics

Mathematical Physics

32 pages

Scientific paper

We consider Vlasov-type scaling for the Glauber dynamics in continuum with a positive integrable potential, and construct rescaled and limiting evolutions of correlation functions. Convergence to the limiting evolution for the positive density system in infinite volume is shown. Chaos preservation property of this evolution gives a possibility to derive a non-linear Vlasov-type equation for the particle density of the limiting system.

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