H-theorem: Difference between revisions
Jump to navigation
Jump to search
Carl McBride (talk | contribs) (New page: ==References== # L. Boltzmann "", Wiener Ber. '''63''' pp. 275- (1872) category: non-equilibrium thermodynamics) |
Carl McBride (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
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
- L. Boltzmann "", Wiener Ber. 63 pp. 275- (1872)
- Sybren R. De Groot and Peter Mazur "Non-Equilibrium Thermodynamics", Dover Publications