{ "id": "1910.04777", "version": "v1", "published": "2019-10-10T18:00:10.000Z", "updated": "2019-10-10T18:00:10.000Z", "title": "Landau Theory for Non-Equilibrium Steady States", "authors": [ "Camille Aron", "Claudio Chamon" ], "comment": "19 pages", "categories": [ "cond-mat.stat-mech" ], "abstract": "We examine how systems in non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyticity. In a system simultaneously coupled to several baths at different temperatures, the non-analytic potential arises from the different density of states of the baths. In periodically driven-dissipative systems, the role of multiple baths is played by a single bath transferring energy at different harmonics of the driving frequency. The mean-field critical exponents become dependent on the low-energy features of the two most singular baths. We propose an extension beyond mean field.", "revisions": [ { "version": "v1", "updated": "2019-10-10T18:00:10.000Z" } ], "analyses": { "keywords": [ "landau theory", "non-equilibrium steady states close", "non-analytic potential arises", "single bath transferring energy", "continuous phase transition" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }