Mixing times for the simple exclusion process in ballistic random environment

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.

arXiv comment29 pages, 1 figure, accepted for publication in EJP

References in corpus (9)

• Mixing times of lozenge tiling and card shuffling Markov chains
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion
• Mixing of the symmetric exclusion processes in terms of the corresponding single-particle random walk
• Stationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes
• Mixing of the exclusion process with small bias
• Mixing time and cutoff for the weakly asymmetric simple exclusion process
• Cutoff and mixing time for transient random walks in random environments
• Extremal Reversible Measures for the Exclusion Process

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• Mixing time for the asymmetric simple exclusion process in a random environment