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Trace inequalities in nonextensive statistical mechanics

✍ Scribed by Shigeru Furuichi

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
118 KB
Volume
418
Category
Article
ISSN
0024-3795

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

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✍ Constantino Tsallis πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 513 KB

Computational applications of the nonextensive entropy S q and nonextensive statistical mechanics, a current generalization of the Boltzmann–Gibbs (BG) theory, are briefly reviewed. The corresponding bibliography is provided as well.

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✍ N. Bebiano; J. da ProvidΓͺncia Jr.; R. Lemos πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 185 KB

Some matrix inequalities used in statistical mechanics are presented. A straightforward proof of the Thermodynamic Inequality is given and its equivalence to the Peierls-Bogoliubov inequality is shown.