On the Rate of Entropy Production for the Boltzmann Equation
Alexander V. Bobylev
Keldish Institute of Applied Mathematics
Dipartimento di Matematica, Politecnico di Milano
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