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

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

2000-03-23

arxiv.org/abs/cond-mat/0003380v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1209/epl/i2000-00481-1

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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