A relation of thermodynamic relevance between the superadditivity, concavity and homogeneity properties of real-valued functions
arXiv:2012.10664
Abstract
We provide a necessary and sufficient condition for the validity of the following Landsberg-Thirring theorem: for a real-valued function on a convex set, any two of the properties of superadditivity, concavity and homogeneity implies the third. Applications to statistical thermodynamics, following Thirring and Landsberg, are briefly reviewed.
14 pages, last version, to appear in the Journal of Statistical Physics