{ "id": "1209.6166", "version": "v2", "published": "2012-09-27T09:01:51.000Z", "updated": "2013-01-22T14:09:15.000Z", "title": "Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential", "authors": [ "Victor Dotsenko" ], "comment": "15 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1209.3603", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "The explicit expression for the the probability distribution function of the endpoint fluctuations of one-dimensional directed polymers in random potential is derived in terms of the Bethe ansatz replica technique by mapping the replicated problem to the N-particle quantum boson system with attractive interactions.", "revisions": [ { "version": "v2", "updated": "2013-01-22T14:09:15.000Z" } ], "analyses": { "keywords": [ "one-dimensional directed polymers", "endpoint fluctuations", "random potential", "n-particle quantum boson system", "bethe ansatz replica technique" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/1742-5468/2013/02/P02012", "journal": "Journal of Statistical Mechanics: Theory and Experiment", "year": 2013, "month": "Feb", "volume": 2013, "number": 2, "pages": 2012 }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013JSMTE..02..012D" } } }