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Two generalizations of the Boltzmann equation

T. S. Biro·G. Kaniadakis
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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.

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T. S. Biro, G. Kaniadakis. 2005-09-27. Two generalizations of the Boltzmann equation. https://doi.org/10.1140/epjb%2Fe2006-00112-3

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