Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling
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Author(s)
Berns, Christoph
Kondratiev, Yuri
Kutoviy, Oleksandr
Date Issued
September 2015
Journal
Journal of Statistical Physics
Publisher
Springer US
Citation
Berns, Christoph, Yuri Kondratiev, and Oleksandr Kutoviy. “Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling.” J Stat Phys 161, no. 4 (September 16, 2015): 876–901.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s10955-015-1365-z
