Statistical Mechanical Foundations for Systems with Nonexponential Distributions

Details Statistical Mechanical Foundations for Systems with Nonexponential Distributions Statistical Mechanical Foundations for Systems with Nonexponential Distributions

2000-03-30

arxiv.org/abs/cond-mat/0003493v1

Physics

Condensed Matter

Statistical Mechanics

17pages. Invited talk at International Workshop on Classical and Quantum Complexity and Nonextensive Thermodynamics (3-6 April

Scientific paper

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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