Two generalizations of the Boltzmann equation
Statistical Mechanics
2009-11-11 v1 High Energy Physics - Phenomenology
Nuclear Theory
Computational Physics
Abstract
We connect two different generalizations of Boltzmann's kinetic theory by requiring the same stationary solution. Non-extensive statistics can be produced by either using corresponding collision rates nonlinear in the one-particle densities or equivalently by using nontrivial energy composition rules in the energy conservation constraint. Direct transformation formulas between key functions of the two approaches are given.
Cite
@article{arxiv.cond-mat/0509681,
title = {Two generalizations of the Boltzmann equation},
author = {T. S. Biro and G. Kaniadakis},
journal= {arXiv preprint arXiv:cond-mat/0509681},
year = {2009}
}
Comments
Talk given at the 3rd NEXT-Sigma-Phi Conference, Crete, Aug.2005, revtex, 10 page, 2 figs