{ "id": "cond-mat/0508334", "version": "v2", "published": "2005-08-13T10:30:23.000Z", "updated": "2006-02-27T06:22:39.000Z", "title": "Trace inequalities in nonextensive statistical mechanics", "authors": [ "Shigeru Furuichi" ], "journal": "Linear Algebra and its Applications, Vol.418(2006), pp. 821-827", "categories": [ "cond-mat.stat-mech" ], "abstract": "In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized Peierls-Bogoliubov inequality. Finally we give a generalized Golden-Thompson inequality.", "revisions": [ { "version": "v2", "updated": "2006-02-27T06:22:39.000Z" } ], "analyses": { "keywords": [ "nonextensive statistical mechanics", "trace inequalities", "generalized golden-thompson inequality", "short paper", "generalized peierls-bogoliubov inequality" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005cond.mat..8334F" } } }