2004/01/16 by Sumiyoshi Abe, G. Kaniadakis, A.M. Scarfone +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied mathematics #Configuration entropy #Entropy (arrow of time) #Entropy rate #Generalized relative entropy #Joint quantum entropy #Mathematical analysis #Mathematics #Maximum entropy probability distribution #Maximum entropy thermodynamics #Min entropy #Normalization (sociology) #Physics #Principle of maximum entropy #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum discord #Quantum mechanics #Residual entropy #Statistical Mechanics and Entropy #Statistical physics #Statistics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/37/44/004
16 pages, no figures
arxiv created 2004/01/16 · openalex publication_date 2004/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The generalized entropic measure, which is optimized by a given arbitrary distribution under the constraints on normalization of the distribution and the finite ordinary expectation value of a physical random quantity, is considered and its Lesche stability property (that is different from thermodynamic stability) is examined. A general condition, under which the generalized entropy becomes stable, is derived. Examples known in the literature, including the entropy for the stretched-exponential distribution, the quantum-group entropy, and the κ-entropy are discussed. PACS numbers: 65.40.Gr, 02.50.-r, 05.20.-y, 05.90.+m 1 I.