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. | ||
==Arrow of time== | |||
See also: | See Ref. 1 | ||
'''See also:''' | |||
*[[Entropy of a glass]] | *[[Entropy of a glass]] | ||
*[[Shannon entropy]] | *[[Shannon entropy]] | ||
*[[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)] | |||
[[category:statistical mechanics]] | [[category:statistical mechanics]] | ||
Revision as of 11:05, 10 April 2007
The entropy, S, is defined by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle S = k_B \ln \Omega}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_B} is the Boltzmann constant and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Omega} (sometimes written as Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle W} ) is the number of microscopic configurations that result in the observed macroscopic description of the thermodynamic system.
Arrow of time
See Ref. 1 See also: