Gibbs paradox: Difference between revisions
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[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
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The '''Gibbs paradox''' serves to highlight the differences between indistinguishable particles and distinguishable particles, whose [[partition function]]s are distinct. | The '''Gibbs paradox''' serves to highlight the differences between indistinguishable particles and distinguishable particles, whose [[partition function]]s are distinct. This leads to the [[entropy]] for the [[Sackur–Tetrode equation | ideal gas]] to be either [[Extensive properties | extensive]] (which it should be) or not. | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1119/1.1987279 Barry M. Casper and Susan Freier ""Gibbs Paradox" Paradox", American Journal of Physics '''41''' pp. 509-511 (1973)] | #[http://dx.doi.org/10.1119/1.1987279 Barry M. Casper and Susan Freier ""Gibbs Paradox" Paradox", American Journal of Physics '''41''' pp. 509-511 (1973)] | ||
Revision as of 12:11, 12 September 2008
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The Gibbs paradox serves to highlight the differences between indistinguishable particles and distinguishable particles, whose partition functions are distinct. This leads to the entropy for the ideal gas to be either extensive (which it should be) or not.
References
- Barry M. Casper and Susan Freier ""Gibbs Paradox" Paradox", American Journal of Physics 41 pp. 509-511 (1973)
- Peter D. Pesic "The principle of identicality and the foundations of quantum theory. I. The Gibbs paradox", American Journal of Physics 59 pp. 971-974 (1991)
- E. T. Jaynes "The Gibbs Paradox", in Maximum Entropy and Bayesian Methods, Series: Fundamental Theories of Physics , Vol. 50 Kluwer Academic Publishers (1992)
- S.-K. Lin "Gibbs paradox of entropy of mixing: experimental facts, its rejection and the theoretical consequences", Electronic Journal of Theoretical Chemistry 1 pp. 135-151 (2001)
- Chih-Yuan Tseng and Ariel Caticha1 "Yet another resolution of the Gibbs paradox: an information theory approach", AIP Conference Proceedings 617 pp. 331-339 (2002)