Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries
Mathematical Physics
2024-12-31 v2 math.MP
Abstract
We study the asymmetric simple exclusion process with non-diagonal boundary terms under a specific constraint. A symmetric chiral basis is constructed and a special string solution of the Bethe ansatz equations corresponding to the steady state is presented. Using the coordinate Bethe ansatz method, we derive a concise expression for the steady state. The current and density profile in the steady state are also studied.
Keywords
Cite
@article{arxiv.2409.09618,
title = {Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries},
author = {Xin Zhang and Fa-Kai Wen},
journal= {arXiv preprint arXiv:2409.09618},
year = {2024}
}