Vlasov scaling for stochastic dynamics of continuous systems
Mathematical Physics
2015-05-18 v2 math.MP
Abstract
We describe a general scheme of derivation of the Vlasov-type equations for Markov evolutions of particle systems in continuum. This scheme is based on a proper scaling of corresponding Markov generators and has an algorithmic realization in terms of related hierarchical chains of correlation functions equations. Several examples of the realization of the proposed approach in particular models are presented.
Keywords
Cite
@article{arxiv.1002.4698,
title = {Vlasov scaling for stochastic dynamics of continuous systems},
author = {Dmitri Finkelshtein and Yuri Kondratiev and Oleksandr Kutoviy},
journal= {arXiv preprint arXiv:1002.4698},
year = {2015}
}
Comments
23 pages