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  
Note that 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==
See Refs. 1 and 3.
*[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/10.1023/A:1023715732166 Milan M. Ćirković "The Thermodynamical Arrow of Time: Reinterpreting the Boltzmann–Schuetz Argument", Foundations of Physics '''33''' pp. 467-490 (2003)]
#[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)]   
# Joel L. Lebowitz "Boltzmann's Entropy and Time's Arrow", Physics Today '''46''' pp. 32-38 (1993)
[[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

See also:

References

  1. William G. Hoover "Entropy for Small Classical Crystals", Journal of Chemical Physics 49 pp. 1981-1982 (1968)