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arXiv · 1709.06584

A Driven Tagged Particle in Asymmetric Exclusion Processes

Zhe Wang
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Abstract

We consider the asymmetric exclusion process with a driven tagged particle on Z which has different jump rates from other particles and show that the tagged particle can have a ballistic behavior when the non-tagged particles have non-nearest-neighbor jump rates. We show the existence of some non-trivial invariant measures for the environment process viewed from the tagged particle. Our arguments are based on coupling, the martingale approach, and analyzing currents through fixed bonds.

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Zhe Wang. 2017-09-19. A Driven Tagged Particle in Asymmetric Exclusion Processes. https://arxiv.org/abs/1709.06584

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