When is a quantity additive, and when is it extensive?

DOI10.1016/S0378-4371(01)00644-6zbMath0986.82027arXivcond-mat/0201134OpenAlexW3103774624MaRDI QIDQ5958960

Hugo Touchette

Publication date: 20 March 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0201134

zbMATH Keywords

subadditivitypseudo-additivitypseudo-extensivity

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03)

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Cites Work

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• Possible generalization of Boltzmann-Gibbs statistics.
• Complexity
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999