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Two generalizations of the Boltzmann equation |
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| Authors: | T S Biró G Kaniadakis |
| Institution: | (1) KFKI Research Institute for Particle and Nuclear Physics, P.O. Box 49, 1525 Budapest, Hungary;(2) Dipartimento di Fisica and Instituto Nazionale di Fisica della Materia, Politecnico di Torino, Corso Duca degli Abruzzi 34, 10129 Torino, Italy |
| 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. |
| 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 |
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