On the rate of entropy production for the Boltzmann equation

Authors
Bobylev, AV Cercignani, C
Citation
Av. Bobylev et C. Cercignani, On the rate of entropy production for the Boltzmann equation, J STAT PHYS, 94(3-4), 1999, pp. 603-618
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
94
Issue
3-4
Year of publication
1999
Pages
603 - 618
Database
ISI
SICI code
0022-4715(199902)94:3-4<603:OTROEP>2.0.ZU;2-O
Abstract
We show that there exists a wide class of distribution functions (with mome nts 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 sigma(\V\, theta) satisfy ing a mild restriction. The functions are constructed in an explicit form a nd we discuss some applications of our results.