arXiv:2307.14941 Abstract | arXiv Analytics

arXiv:2307.14941 [math.PR]Abstract References Reviews Resources

Limit profile for the ASEP with one open boundary

Published 2023-07-27Version 1

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.

Comments: 15 pages, 2 figures

Categories: math.PR, math-ph, math.MP

Keywords: open boundary, asymmetric simple exclusion process, total-variation distance, phase transition, sharp estimates

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