Validity of the second law in nonextensive quantum thermodynamics

Details Validity of the second law in nonextensive quantum thermodynamics Validity of the second law in nonextensive quantum thermodynamics

2003-04-02

arxiv.org/abs/cond-mat/0304066v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, no figures

Scientific paper

10.1103/PhysRevLett.91.120601

The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius' inequality is shown to hold in the range of q between zero and two. This restriction on the range of the entropic index, q, is purely quantum mechanical and there exists no upper bound of q for validity of the second law in classical theory.

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