Statistical Mechanical Foundations for Systems with Nonexponential Distributions
Statistical Mechanics
2007-05-23 v1
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.
Cite
@article{arxiv.cond-mat/0003493,
title = {Statistical Mechanical Foundations for Systems with Nonexponential Distributions},
author = {A. K. Rajagopal and Sumiyoshi Abe},
journal= {arXiv preprint arXiv:cond-mat/0003493},
year = {2007}
}
Comments
17pages. Invited talk at International Workshop on Classical and Quantum Complexity and Nonextensive Thermodynamics (3-6 April, 2000, Denton, Texas)