## Electronic Journal of Probability

### Mixing times for the simple exclusion process in ballistic random environment

Dominik Schmid

#### 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.

#### Article information

Source
Electron. J. Probab., Volume 24 (2019), paper no. 22, 25 pp.

Dates
Accepted: 2 March 2019
First available in Project Euclid: 21 March 2019

https://projecteuclid.org/euclid.ejp/1553155302

Digital Object Identifier
doi:10.1214/19-EJP286

Mathematical Reviews number (MathSciNet)
MR3933201

Zentralblatt MATH identifier
1412.60137

#### Citation

Schmid, Dominik. Mixing times for the simple exclusion process in ballistic random environment. Electron. J. Probab. 24 (2019), paper no. 22, 25 pp. doi:10.1214/19-EJP286. https://projecteuclid.org/euclid.ejp/1553155302

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