Pathway Model and Nonextensive Statistical Mechanics
arXiv:1010.4597
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.
14 pages
References in corpus (13)
- Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma
- Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
- Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy
- Analysis of Self-Organized Criticality in the Olami-Feder-Christensen model and in real earthquakes
- Defect turbulence and generalized statistical mechanics
- On the diffusive anomalies in a long-range Hamiltonian system
- Analysis of return distributions in the coherent noise model
- A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
- Analysis of self-organized criticality in Ehrenfest's dog-flea model
- Anomalous diffusion in silo drainage
- Unified model for network dynamics exhibiting nonextensive statistics
- On generalized entropy measures and pathways
- Return distributions in dog-flea model revisited