H-theorem: Difference between revisions

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(New page: ==References== # L. Boltzmann "", Wiener Ber. '''63''' pp. 275- (1872) category: non-equilibrium thermodynamics)
 
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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.
:<math>\sigma \geq 0</math>
where <math>\sigma</math> is the ''entropy source strength'', given by (Eq 36 Chap IX Ref. 2)
:<math>\sigma = -k \sum_{i,j} \int C(f_i,f_j) \ln f_i d {\mathbf u}_i</math>
At equilibrium, <math>\sigma = 0</math>.
==See also==
*[[Boltzmann equation]]
*[[Second law of thermodynamics]]
==References==
==References==
# L. Boltzmann "", Wiener Ber. '''63''' pp. 275- (1872)
# L. Boltzmann "", Wiener Ber. '''63''' pp. 275- (1872)
#[http://store.doverpublications.com/0486647412.html Sybren R. De Groot and Peter Mazur "Non-Equilibrium Thermodynamics", Dover Publications]
[[category: non-equilibrium thermodynamics]]
[[category: non-equilibrium thermodynamics]]

Revision as of 11:11, 22 August 2007

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)

At equilibrium, .

See also

References

  1. L. Boltzmann "", Wiener Ber. 63 pp. 275- (1872)
  2. Sybren R. De Groot and Peter Mazur "Non-Equilibrium Thermodynamics", Dover Publications