Two generalizations of the Boltzmann equation

T. S. Biró () and G. Kaniadakis

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 50, issue 1, 3-6

Abstract: We connect two different extensions 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 part. Direct transformation formulas between key functions of the two approaches are given. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 25.75.Nq Quark deconfinement; quark-gluon plasma production; and phase transitions; 05.20.Dd Kinetic theory; 05.90.+m Other topics in statistical physics; thermodynamics; and nonlinear dynamical systems (restricted to new topics in section 05); 02.70.Ns Molecular dynamics and particle methods (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00112-3

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