Limit profile for the ASEP with one open boundary
Probability
2023-07-28 v1 Mathematical Physics
math.MP
Abstract
We study the speed of convergence to equilibrium for the asymmetric simple exclusion process (ASEP) on a finite interval with one open boundary. We provide sharp estimates on the total-variation distance from equilibrium and verify that the limit profile undergoes a phase transition from a Gaussian to a KPZ profile.
Keywords
Cite
@article{arxiv.2307.14941,
title = {Limit profile for the ASEP with one open boundary},
author = {Jimmy He and Dominik Schmid},
journal= {arXiv preprint arXiv:2307.14941},
year = {2023}
}
Comments
15 pages, 2 figures