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

Author(s)
Berns, Christoph; Kondratiev, Yuri; Kutoviy, Oleksandr
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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.
Date issued
2015-09
URI
http://hdl.handle.net/1721.1/106994
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0022-4715
1572-9613
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