Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling

Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling

We investigate stochastic (conservative) non-equilibrium jump dynamics of interacting particles in continuum. The corresponding evolutions of correlation functions are constructed. The mesoscopic scaling (Vlasov scaling) of the dynamics is studied and the corresponding kinetic equations for the part...

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Bibliographic Details
Main Authors: Berns, Christoph (Author), Kondratiev, Yuri (Author), Kutoviy, Oleksandr (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer US, 2017-02-17T23:38:48Z.
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Summary:We investigate stochastic (conservative) non-equilibrium jump dynamics of interacting particles in continuum. The corresponding evolutions of correlation functions are constructed. The mesoscopic scaling (Vlasov scaling) of the dynamics is studied and the corresponding kinetic equations for the particle densities are derived.
German Science Foundation (SFB 701: "Spektrale Strukturen und Topologische Methoden in der Mathematik" and the IGK "Stochastics and Real World Models")

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