Entropy: Difference between revisions
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where <math>k_B</math> is the [[Boltzmann constant]] and <math>\Omega</math> (sometimes written as <math>W</math>) | where <math>k_B</math> is the [[Boltzmann constant]] and <math>\Omega</math> (sometimes written as <math>W</math>) | ||
is the number of microscopic configurations that result in the observed macroscopic description of the thermodynamic system. | is the number of microscopic configurations that result in the observed macroscopic description of the thermodynamic system. | ||
This equation provides a link between [[Classical thermodynamics | classical thermodynamics]] and | |||
[[Statistical mechanics | statistical mechanics]] | [[Statistical mechanics | statistical mechanics]] | ||
==Arrow of time== | ==Arrow of time== | ||
*[http://dx.doi.org/10.1023/A:1023715732166 Milan M. Ćirković "The Thermodynamical Arrow of Time: Reinterpreting the Boltzmann–Schuetz Argument", Foundations of Physics '''33''' pp. 467-490 (2003)] | |||
* Joel L. Lebowitz "Boltzmann's Entropy and Time's Arrow", Physics Today '''46''' pp. 32-38 (1993) | |||
==See also:== | ==See also:== | ||
*[[Entropy of a glass]] | *[[Entropy of a glass]] | ||
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*[[Tsallis entropy]] | *[[Tsallis entropy]] | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1063/1.1670348 William G. Hoover "Entropy for Small Classical Crystals", Journal of Chemical Physics '''49''' pp. 1981-1982 (1968)] | #[http://dx.doi.org/10.1063/1.1670348 William G. Hoover "Entropy for Small Classical Crystals", Journal of Chemical Physics '''49''' pp. 1981-1982 (1968)] | ||
[[category:statistical mechanics]] | [[category:statistical mechanics]] |
Revision as of 15:00, 25 May 2007
The entropy, S, is defined by
where is the Boltzmann constant and (sometimes written as ) is the number of microscopic configurations that result in the observed macroscopic description of the thermodynamic system. This equation provides a link between classical thermodynamics and statistical mechanics
Arrow of time
- Milan M. Ćirković "The Thermodynamical Arrow of Time: Reinterpreting the Boltzmann–Schuetz Argument", Foundations of Physics 33 pp. 467-490 (2003)
- Joel L. Lebowitz "Boltzmann's Entropy and Time's Arrow", Physics Today 46 pp. 32-38 (1993)