{ "id": "1304.0800", "version": "v1", "published": "2013-04-02T20:58:51.000Z", "updated": "2013-04-02T20:58:51.000Z", "title": "The asymmetric simple exclusion process with an open boundary", "authors": [ "Craig A. Tracy", "Harold Widom" ], "comment": "22 pages, 1 figure", "journal": "Journal of Mathematical Physics 54, 103301 (2013)", "doi": "10.1063/1.4822418", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "We consider the asymmetric simple exclusion process confined to the nonnegative integers with an open boundary at 0. The point 0 is connected to a reservoir where particles are injected and ejected at prescribed rates subject to the exclusion rule. We derive formulas for the transition probability as a function of time from states where initially there are m particles to states where there are n particles.", "revisions": [ { "version": "v1", "updated": "2013-04-02T20:58:51.000Z" } ], "analyses": { "subjects": [ "60K35", "05.50.+q", "02.50.Cw" ], "keywords": [ "open boundary", "asymmetric simple exclusion process", "transition probability", "exclusion rule", "prescribed rates subject" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 2013, "month": "Oct", "volume": 54, "number": 10, "pages": 3301 }, "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013JMP....54j3301T" } } }