{ "id": "cond-mat/0105371", "version": "v1", "published": "2001-05-18T11:54:51.000Z", "updated": "2001-05-18T11:54:51.000Z", "title": "Non-additivity of Tsallis entropies and fluctuations of temperature", "authors": [ "Christian Beck" ], "comment": "5 pages, no figures", "doi": "10.1209/epl/i2002-00464-8", "categories": [ "cond-mat.stat-mech" ], "abstract": "We show that the non-additivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that there is a distinguished dependence of the entropic index q on the spatial scale that makes the Tsallis entropies quasi-additive. Quasi-additivity implies that q is a strictly monotonously decreasing function of the spatial scale r, as indeed observed in various experiments.", "revisions": [ { "version": "v1", "updated": "2001-05-18T11:54:51.000Z" } ], "analyses": { "keywords": [ "tsallis entropies", "temperature", "fluctuations", "spatial scale", "fluctuating energy dissipation rate" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }