Journal of Statistical Physics

, Volume 94, Issue 3, pp 603–618

On the Rate of Entropy Production for the Boltzmann Equation


  • Alexander V. Bobylev
    • Keldish Institute of Applied Mathematics
  • Carlo Cercignani
    • Dipartimento di Matematica, Politecnico di Milano

DOI: 10.1023/A:1004556522879

Cite this article as:
Bobylev, A.V. & Cercignani, C. Journal of Statistical Physics (1999) 94: 603. doi:10.1023/A:1004556522879


We show that there exists a wide class of distribution functions (with moments of any order as close to their equilibrium values as we like) which can provide an abnormally low rate of entropy production. The result is valid for the Boltzmann equation with any cross section σ(|V|, θ) satisfying a mild restriction. The functions are constructed in an explicit form and we discuss some applications of our results.

entropy productionBoltzmann equationkinetic theory

Copyright information

© Kluwer Academic/Plenum Publishers 1999