{ "id": "cond-mat/0408091", "version": "v2", "published": "2004-08-04T14:15:59.000Z", "updated": "2005-01-26T18:55:01.000Z", "title": "Asymptotics of superstatistics", "authors": [ "Hugo Touchette", "Christian Beck" ], "comment": "Published version, few typos corrected, 7 pages, 1 figure, RevTeX4", "journal": "Phys. Rev. E 71, 016131, 2005", "doi": "10.1103/PhysRevE.71.016131", "categories": [ "cond-mat.stat-mech" ], "abstract": "Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the inverse temperature). They contain Tsallis statistics as a special case. We develop here a technique that allows us to analyze the large energy asymptotics of the stationary distributions of general superstatistics. A saddle-point approximation is developed which relates this problem to a variational principle. Several examples are worked out in detail.", "revisions": [ { "version": "v2", "updated": "2005-01-26T18:55:01.000Z" } ], "analyses": { "keywords": [ "driven nonequilibrium systems", "contain tsallis statistics", "large energy asymptotics", "spatiotemporal inhomogeneities", "inverse temperature" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "RevTeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }