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arXiv · 2307.14941

Limit profile for the ASEP with one open boundary

Jimmy He·Dominik Schmid
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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.

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Jimmy He, Dominik Schmid. 2023-07-27. Limit profile for the ASEP with one open boundary. https://arxiv.org/abs/2307.14941

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