Pathway Model and Nonextensive Statistical Mechanics
Statistical Mechanics
2010-10-25 v1 Mathematical Physics
math.MP
Abstract
The established technique of eliminating upper or lower parameters in a general hypergeometric series is profitably exploited to create pathways among confluent hypergeometric functions, binomial functions, Bessel functions, and exponential series. One such pathway, from the mathematical statistics point of view, results in distributions which naturally emerge within nonextensive statistical mechanics and Beck-Cohen superstatistics, as pursued in generalizations of Boltzmann-Gibbs statistics.
Cite
@article{arxiv.1010.4597,
title = {Pathway Model and Nonextensive Statistical Mechanics},
author = {A. M. Mathai and H. J. Haubold and C. Tsallis},
journal= {arXiv preprint arXiv:1010.4597},
year = {2010}
}
Comments
14 pages