arXiv:cond-mat/0508334 Abstract

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Trace inequalities in nonextensive statistical mechanics

Published 2005-08-13, updated 2006-02-27Version 2

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.

Journal: Linear Algebra and its Applications, Vol.418(2006), pp. 821-827

Categories: cond-mat.stat-mech

Keywords: nonextensive statistical mechanics, trace inequalities, generalized golden-thompson inequality, short paper, generalized peierls-bogoliubov inequality

Tags: journal article

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