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2019 Mixing times for the simple exclusion process in ballistic random environment
Dominik Schmid
Electron. J. Probab. 24: 1-25 (2019). DOI: 10.1214/19-EJP286


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.


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Dominik Schmid. "Mixing times for the simple exclusion process in ballistic random environment." Electron. J. Probab. 24 1 - 25, 2019.


Received: 18 June 2018; Accepted: 2 March 2019; Published: 2019
First available in Project Euclid: 21 March 2019

zbMATH: 1412.60137
MathSciNet: MR3933201
Digital Object Identifier: 10.1214/19-EJP286

Primary: 60J27 , 60K37

Keywords: Exclusion process , mixing time , random environment


Vol.24 • 2019
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