Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration
Probability
2023-04-05 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
In this paper, we consider the two-species asymmetric simple exclusion process consisting of first-class particles and one second-class particle. We assume that the second-class particle is the rightmost particle at t=0. We provide an alternative method to Tracy and Widom's method in [J. Phys. A, 42, 425002, (2009)] to find the probability distribution of the second-class particle's position.
Keywords
Cite
@article{arxiv.2209.06933,
title = {Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration},
author = {Eunghyun Lee and Zhanibek Tokebayev},
journal= {arXiv preprint arXiv:2209.06933},
year = {2023}
}
Comments
Published version (to appear in Journal of Statistical Physics)