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VLASOV SCALING FOR THE GLAUBER DYNAMICS IN CONTINUUM

DMITRI FINKELSHTEIN

Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

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YURI KONDRATIEV

Fakultät für Mathematik, Universität Bielefeld, 33615 Bielefeld, Germany

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, and

OLEKSANDR KUTOVIY

Fakultät für Mathematik, Universität Bielefeld, 33615 Bielefeld, Germany

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https://doi.org/10.1142/S021902571100450XCited by:9 (Source: Crossref)

Abstract

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 nonlinear Vlasov-type equation for the particle density of the limiting system.

Keywords:

AMSC: 82C22, 60K35, 82C21

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