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arXiv 2012.10664math-phmath.MPquant-ph
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A relation of thermodynamic relevance between the superadditivity, concavity and homogeneity properties of real-valued functions

Walter F. Wreszinski

英文摘要:

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.

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