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Construction of a state evolution for Kawasaki dynamics in continuum

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Abstract

We consider conservative, non-equilibrium stochastic jump dynamics of interacting particles in continuum. These dynamics have a (grand canonical) Gibbs measure as invariant measure. The problem of existence of these dynamics is studied. The corresponding time evolution of correlation functions is constructed.

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Authors and Affiliations

  1. IGK “Stochastics and Real World Models”, Universität Bielefeld, Postfach 100131, 33501 , Bielefeld, Germany

    Christoph Berns

  2. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 , Bielefeld, Germany

    Yuri Kondratiev & Oleksandr Kutoviy

Authors
  1. Christoph Berns
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  2. Yuri Kondratiev
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  3. Oleksandr Kutoviy
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Corresponding author

Correspondence to Oleksandr Kutoviy.

Additional information

This work was financially supported by the DFG through the SFB 701: “Spektrale Strukturen und Topologische Methoden in der Mathematik” and the IGK “Stochastics and Real World Models” which is gratefully acknowledged by the authors.

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Berns, C., Kondratiev, Y. & Kutoviy, O. Construction of a state evolution for Kawasaki dynamics in continuum. Anal.Math.Phys. 3, 97–117 (2013). https://doi.org/10.1007/s13324-012-0048-z

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  • DOI: https://doi.org/10.1007/s13324-012-0048-z

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