{ "id": "0802.0690", "version": "v2", "published": "2008-02-05T18:31:07.000Z", "updated": "2008-06-26T15:16:16.000Z", "title": "Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases", "authors": [ "Pavel Bleher", "Karl Liechty" ], "comment": "22 pages, 6 figures, to appear in the Journal of Statistical Physics", "doi": "10.1007/s10955-009-9688-2", "categories": [ "math-ph", "math.MP" ], "abstract": "This is a continuation of the papers [4] of Bleher and Fokin and [5] of Bleher and Liechty, in which the large $n$ asymptotics is obtained for the partition function $Z_n$ of the six-vertex model with domain wall boundary conditions in the disordered and ferroelectric phases, respectively. In the present paper we obtain the large $n$ asymptotics of $Z_n$ on the critical line between these two phases.", "revisions": [ { "version": "v2", "updated": "2008-06-26T15:16:16.000Z" } ], "analyses": { "subjects": [ "82B20" ], "keywords": [ "domain wall boundary condition", "six-vertex model", "critical line", "exact solution", "disordered phases" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Statistical Physics", "year": 2009, "month": "Feb", "volume": 134, "number": 3, "pages": 463 }, "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009JSP...134..463B" } } }