A relation of thermodynamic relevance between the superadditivity, concavity and homogeneity properties of real-valued functions

DOI10.1007/s10955-022-02872-zzbMath1487.26019arXiv2012.10664OpenAlexW4205206366MaRDI QIDQ2073434

Walter F. Wreszinski

Publication date: 2 February 2022

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10664

zbMATH Keywords

concavitystatistical thermodynamicshomogeneitysuperadditivityreal-valued functionsLandsberg-Thirring theorem

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Statistical thermodynamics (82B30)

Cites Work

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• Superadditivity and derivative of operator functions
• Equilibrium states of gravitational systems
• The physics and mathematics of the second law of thermodynamics
• Mean entropy of states in classical statistical mechanics
• Tests for the Superadditivity of Functions
• Entropy meters and the entropy of non-extensive systems
• Subadditive functions