Integral formulas of ASEP and $q$-TAZRP on a ring
Probability
2020-10-28 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the -deformed Totally Asymmetric Zero Range Process (-TAZRP) on the ring by applying the coordinate Bethe ansatz. We also compute the distribution function for a tagged particle with general initial condition.
Keywords
Cite
@article{arxiv.1905.02987,
title = {Integral formulas of ASEP and $q$-TAZRP on a ring},
author = {Zhipeng Liu and Axel Saenz and Dong Wang},
journal= {arXiv preprint arXiv:1905.02987},
year = {2020}
}
Comments
64 pages, 1 figure