Journal of Statistical Physics

, Volume 94, Issue 3, pp 603-618

First online:

On the Rate of Entropy Production for the Boltzmann Equation

  • Alexander V. BobylevAffiliated withKeldish Institute of Applied Mathematics
  • , Carlo CercignaniAffiliated withDipartimento di Matematica, Politecnico di Milano

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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 production Boltzmann equation kinetic theory