{ "id": "2204.00047", "version": "v1", "published": "2022-03-31T18:48:37.000Z", "updated": "2022-03-31T18:48:37.000Z", "title": "Multicanonical simulations of the 2D spin-$1$ Baxter-Wu model in a crystal field", "authors": [ "Nikolaos G. Fytas", "Alexandros Vasilopoulos", "Erol Vatansever", "Anastasios Malakis", "Martin Weigel" ], "comment": "6 pages, 6 figures, XXXII IUPAP Conference on Computational Physics", "journal": "J. Phys.: Conf. Ser. 2207, 012008 (2022)", "doi": "10.1088/1742-6596/2207/1/012008", "categories": [ "cond-mat.stat-mech" ], "abstract": "We investigate aspects of universality in the two-dimensional (2D) spin-$1$ Baxter-Wu model in a crystal field $\\Delta$ using a parallel version of the multicanonical algorithm employed at constant temperature $T$. A detailed finite-size scaling analysis in the continuous regime of the $\\Delta-T$ phase diagram of the model indicates that the transition belongs to the universality class of the $4$-state Potts model. The presence of first-order-like finite-size effects that become more pronounced as one approaches the pentacritical point of the model is highlighted and discussed.", "revisions": [ { "version": "v1", "updated": "2022-03-31T18:48:37.000Z" } ], "analyses": { "keywords": [ "baxter-wu model", "crystal field", "multicanonical simulations", "state potts model", "constant temperature" ], "tags": [ "conference paper", "journal article" ], "publication": { "publisher": "IOP" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }