{"title":"Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries","authors":"Xin Zhang, Fa-Kai Wen","doi":"arxiv-2409.09618","DOIUrl":null,"url":null,"abstract":"We study the asymmetric simple exclusion process with non-diagonal boundary\nterms under a specific constraint. A symmetric chiral basis is constructed and\na special string solution of the Bethe ansatz equations corresponding to the\nsteady state is presented. Using the coordinate Bethe ansatz method, we derive\na concise expression for the steady state. The current and density profile in\nthe steady state are also studied.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09618","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.