{ "id": "1806.07631", "version": "v1", "published": "2018-06-20T09:25:37.000Z", "updated": "2018-06-20T09:25:37.000Z", "title": "Metastability of the two-dimentional Blume-Capel model with zero chemical potential and small magnetic field on a large torus", "authors": [ "Claudio Landim", "Paul Lemire", "Mustapha Mourragui" ], "categories": [ "math.PR" ], "abstract": "We consider the Blume-Capel model with zero chemical potential and small magnetic field in a two-dimensional torus whose length increaseswith the inverse of the temeprature. We prove the mestastable behavior and that starting from a configuration with only negative spins, the process visits the configuration with only 0-spins on its way to the ground state which is the configuration with all spins equal to +1.", "revisions": [ { "version": "v1", "updated": "2018-06-20T09:25:37.000Z" } ], "analyses": { "keywords": [ "small magnetic field", "zero chemical potential", "two-dimentional blume-capel model", "large torus", "metastability" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }