{ "id": "1602.06122", "version": "v1", "published": "2016-02-19T12:11:55.000Z", "updated": "2016-02-19T12:11:55.000Z", "title": "Canonical ensemble in non-extensive statistical mechanics when q>1", "authors": [ "Julius Ruseckas" ], "comment": "arXiv admin note: text overlap with arXiv:1503.03778", "categories": [ "cond-mat.stat-mech" ], "abstract": "The non-extensive statistical mechanics has been used to describe a variety of complex systems. The maximization of entropy, often used to introduce the non-extensive statistical mechanics, is a formal procedure and does not easily leads to physical insight. In this article we investigate the canonical ensemble in the non-extensive statistical mechanics by considering a small system interacting with a large reservoir via short-range forces and assuming equal probabilities for all available microstates. We concentrate on the situation when the reservoir is characterized by generalized entropy with non-extensivity parameter q>1. We also investigate the problem of divergence in the non-extensive statistical mechanics occurring when q>1 and show that there is a limit on the growth of the number of microstates of the system that is given by the same expression for all values of q.", "revisions": [ { "version": "v1", "updated": "2016-02-19T12:11:55.000Z" } ], "analyses": { "keywords": [ "non-extensive statistical mechanics", "canonical ensemble", "non-extensivity parameter", "complex systems", "large reservoir" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160206122R" } } }