2003/04/02 by Sumiyoshi Abe, A. K. Rajagopal · 4 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fractional Differential Equations Solutions #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.91.120601
12 pages, no figures
arxiv created 2003/04/02 · openalex publication_date 2003/09/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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 q in (0, 2]. 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.