Two generalizations of the Boltzmann equation

Details Two generalizations of the Boltzmann equation Two generalizations of the Boltzmann equation

2005-09-27

arxiv.org/abs/cond-mat/0509681v1

Eur.Phys.J. B50 (2006) 3

Physics

Condensed Matter

Statistical Mechanics

Talk given at the 3rd NEXT-Sigma-Phi Conference, Crete, Aug.2005, revtex, 10 page, 2 figs

Scientific paper

10.1140/epjb/e2006-00112-3

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.

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