A Driven Tagged Particle in Asymmetric Exclusion Processes
Probability
2019-11-12 v3
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.
Cite
@article{arxiv.1709.06584,
title = {A Driven Tagged Particle in Asymmetric Exclusion Processes},
author = {Zhe Wang},
journal= {arXiv preprint arXiv:1709.06584},
year = {2019}
}
Comments
35 pages, 9 figures