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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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of Statistical Physics
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.
Author's final manuscript