Vlasov scaling for the Glauber dynamics in continuum
Mathematical Physics
2015-01-27 v3 math.MP
Abstract
We consider Vlasov-type scaling for the Glauber dynamics in continuum with a positive integrable potential, and construct rescaled and limiting evolutions of correlation functions. Convergence to the limiting evolution for the positive density system in infinite volume is shown. Chaos preservation property of this evolution gives a possibility to derive a non-linear Vlasov-type equation for the particle density of the limiting system.
Keywords
Cite
@article{arxiv.1002.4762,
title = {Vlasov scaling for the Glauber dynamics in continuum},
author = {Dmitri Finkelshtein and Yuri Kondratiev and Oleksandr Kutoviy},
journal= {arXiv preprint arXiv:1002.4762},
year = {2015}
}
Comments
32 pages