From SklogWiki
Jump to navigation Jump to search
This article is a 'stub' page, it has no, or next to no, content. It is here at the moment to help form part of the structure of SklogWiki. If you add sufficient material to this article then please remove the {{Stub-general}} template from this page.

Boltzmann's H-theorem[edit]

Boltzmann's H-theorem states that the entropy of a closed system can only increase in the course of time, and must approach a limit as time tends to infinity.

where is the entropy source strength, given by (Eq 36 Chap IX Ref. 2)

where the function C() represents binary collisions. At equilibrium, .

Boltzmann's H-function[edit]

Boltzmann's H-function is defined by (Eq. 5.66 Ref. 3):

where is the molecular velocity. A restatement of the H-theorem is

Gibbs's H-function[edit]

See also[edit]


  1. L. Boltzmann "", Wiener Ber. 63 pp. 275- (1872)
  2. Sybren R. De Groot and Peter Mazur "Non-Equilibrium Thermodynamics", Dover Publications
  3. Robert Zwanzig "Nonequilibrium Statistical Mechanics", Oxford University Press (2001)

Related reading