https://doi.org/10.1140/epjb/e2006-00112-3
Two generalizations of the Boltzmann equation
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
Corresponding author: a tsbiro@sunserv.kfki.hu
Received:
28
September
2005
Revised:
23
November
2005
Published online:
12
April
2006
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.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
