Vlasov limit for a chain of oscillators with Kac potentials
Probability
2020-10-07 v1 Statistical Mechanics
Abstract
We consider a chain of anharmonic oscillators with local mean field interaction and long-range stochastic exchanges of velocity. Even if the particles are not exchangeable, we prove the convergence of the empirical measure associated with this chain to a solution of a Vlasov-type equation. We then use this convergence to prove energy diffusion for a restricted class of anharmonic potentials.
Keywords
Cite
@article{arxiv.2010.02531,
title = {Vlasov limit for a chain of oscillators with Kac potentials},
author = {Alejandro Fernandez Montero},
journal= {arXiv preprint arXiv:2010.02531},
year = {2020}
}