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Vlasov scaling for the Glauber dynamics in continuum

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.

preprint2011arXivOpen access
Dmitri FinkelshteinYuri KondratievOleksandr Kutoviy
math-phmath.MP
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Dmitri FinkelshteinYuri KondratievOleksandr Kutoviy

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