Validity of the second law in nonextensive quantum thermodynamics

Abstract

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.

12 pages, no figures

References in corpus (3)

• Stability of Tsallis antropy and instabilities of Renyi and normalized Tsallis entropies: A basis for q-exponential distributions
• Nonadditive generalization of the quantum Kullback-Leibler divergence for measuring the degree of purification
• Monotonic decrease of the quantum nonadditive divergence by projective measurements

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