Markov Jump Dynamics with Additive Intensities in Continuum: State Evolution and Mesoscopic Scaling.
- Resource Type
- Article
- Authors
- Berns, Christoph; Kondratiev, Yuri; Kutoviy, Oleksandr
- Source
- Journal of Statistical Physics. Nov2015, Vol. 161 Issue 4, p876-901. 26p.
- Subject
- *STOCHASTIC analysis
*MARKOV processes
*MARKOV operators
*ANALYTICAL mechanics
*VLASOV equation
- Language
- ISSN
- 0022-4715
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. [ABSTRACT FROM AUTHOR]