Mixing times for the simple exclusion process in ballistic random environment
Probability
2019-03-26 v2
Abstract
We consider the exclusion process on segments of the integers in a site-dependent random environment. We assume to be in the ballistic regime in which a single particle has positive linear speed. Our goal is to study the mixing time of the exclusion process when the number of particles is linear in the size of the segment. We investigate the order of the mixing time depending on the support of the environment distribution. In particular, we prove for nestling environments that the order of the mixing time is different than in the case of a single particle.
Keywords
Cite
@article{arxiv.1806.03937,
title = {Mixing times for the simple exclusion process in ballistic random environment},
author = {Dominik Schmid},
journal= {arXiv preprint arXiv:1806.03937},
year = {2019}
}
Comments
29 pages, 1 figure, accepted for publication in EJP