arxiv: cond-mat/0003380 · v2 · submitted 2000-03-23 · ❄️ cond-mat.stat-mech

Justification of Power-Law Canonical Distributions Based on Generalized Central Limit Theorem

Sumiyoshi Abe (1) , A. K. Rajagopal (2)((1)College of Science , Technology , Nihon University , Funabshi , Chiba , Japan , (2)Naval Reserach Laboratory

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classification ❄️ cond-mat.stat-mech

keywords canonicalcentraldistributionsgeneralizedlimitpower-lawtheoremthermodynamic

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A self-consistent thermodynamic framework is presented for power-law canonical distributions based on the generalized central limit theorem by extending the discussion given by Khinchin for deriving Gibbsian canonical ensemble theory. The thermodynamic Legendre transform structure is invoked in establishing its connection to nonextensive statistical mechanics.

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Justification of Power-Law Canonical Distributions Based on Generalized Central Limit Theorem

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