Diameters of symmetric and lifted simple exclusion models
Statistical Mechanics
2024-10-14 v1 Probability
Abstract
We determine diameters of Markov chains describing one-dimensional N -particle models with an exclusion interaction, namely the Ssep (symmetric simple exclusion process) and one of its non-reversible liftings, the lifted Tasep (totally asymmetric simple exclusion process). The diameters provide lower bounds for the mixing times, and we discuss the implications of our findings for the analysis of these models.
Keywords
Cite
@article{arxiv.2311.17346,
title = {Diameters of symmetric and lifted simple exclusion models},
author = {Xusheng Zhang and Werner Krauth},
journal= {arXiv preprint arXiv:2311.17346},
year = {2024}
}