{ "id": "1002.3544", "version": "v1", "published": "2010-02-18T15:28:30.000Z", "updated": "2010-02-18T15:28:30.000Z", "title": "Phase Transition of Laminated Models at Any Temperature", "authors": [ "Eugene Pechersky", "Elena Petrova", "Sergey Pirogov" ], "categories": [ "math-ph", "math.MP" ], "abstract": "The standard Pirogov -- Sinai theory is generalized to the class of models with two modes of interaction: longitudinal and transversal. Under rather general assumptions about the longitudinal interaction and for one specific form of the transversal interaction it is proved that such system has a variety of phase transitions at any temperature: the parameter which plays the role of inverse temperature is the strength of the transversal interaction. The concrete examples of such systems are $(1+1)$-dimensional models.", "revisions": [ { "version": "v1", "updated": "2010-02-18T15:28:30.000Z" } ], "analyses": { "subjects": [ "82B20", "82B26" ], "keywords": [ "phase transition", "laminated models", "transversal interaction", "inverse temperature", "sinai theory" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1002.3544P" } } }