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Statistical Mechanical Foundations for Systems with Nonexponential Distributions

A. K. Rajagopal·Sumiyoshi Abe
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Abstract

Traditionally the exponential canonical distributions of Gibbsian statistical mechanics are given theoretical justification in at least four different ways: steepest descent method, counting method, Khinchin's method based on te central limit theorem, and maximum entropy principle of Jaynes. Equally ubiquitous power-law canonical distributions are shown to be given similar justification by appropriately adopting these formulations.

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A. K. Rajagopal, Sumiyoshi Abe. 2000-03-30. Statistical Mechanical Foundations for Systems with Nonexponential Distributions. https://arxiv.org/abs/cond-mat/0003493

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