Two generalizations of the Boltzmann equation

T. S. Biró, G. Kaniadakis

Research output: Contribution to journalArticle

30 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)3-6
Number of pages4
JournalEuropean Physical Journal B
Issue number1-2
Publication statusPublished - Mar 1 2006

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Two generalizations of the Boltzmann equation'. Together they form a unique fingerprint.

  • Cite this