Entropy: Difference between revisions
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The '''entropy''', S, is defined by | The '''entropy''', S, is defined by | ||
:<math>S = k_B \ln \Omega</math> | :<math>\left.S\right. = k_B \ln \Omega</math> | ||
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>) | ||
Revision as of 15:07, 21 May 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 \left.S\right. = 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 Refs. 1 and 3.
See also:
References
- Milan M. Ćirković "The Thermodynamical Arrow of Time: Reinterpreting the Boltzmann–Schuetz Argument", Foundations of Physics 33 pp. 467-490 (2003)
- 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)