{ "id": "2309.04402", "version": "v1", "published": "2023-09-08T15:57:25.000Z", "updated": "2023-09-08T15:57:25.000Z", "title": "An Estimation of Phase Transition", "authors": [ "Shamsa Ishaq", "Renaud Leplaideur" ], "comment": "26 pages, 1 Figure", "journal": "Nonlinearity, 35(3):1311,2022", "doi": "10.1088/1361-6544/ac4a8b", "categories": [ "math.DS", "math-ph", "math.MP" ], "abstract": "In [8], H. Bruin and R. Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter \\b{eta}c > 0. This paper will prove that the transition in pressure function cannot appear within the interval ]0, 2].", "revisions": [ { "version": "v1", "updated": "2023-09-08T15:57:25.000Z" } ], "analyses": { "subjects": [ "37D35", "82B26", "37A60", "37B10", "68R15", "37F20" ], "keywords": [ "phase transition", "estimation", "pressure function" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP" }, "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable" } } }