Pathway Model and Nonextensive Statistical Mechanics

Details Pathway Model and Nonextensive Statistical Mechanics Pathway Model and Nonextensive Statistical Mechanics

2010-10-21

arxiv.org/abs/1010.4597v1

Physics

Condensed Matter

Statistical Mechanics

14 pages

Scientific paper

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.

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