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

Abstract

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.

8 pages. Some minor corrections are made, with no changes in the conclusions

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