Gibbs paradox: Difference between revisions
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{{Stub-general}} | |||
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== | |||
;Related reading | |||
*[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/10.1119/1.16653 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) ISBN 978-0-7923-4311-0 | |||
*[http://dx.doi.org/10.1002/ejtc.27 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)] | |||
*[http://dx.doi.org/10.1063/1.1477057 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)] | |||
*[http://dx.doi.org/10.1063/1.3660203 Denis J. Evans, Stephen R. Williams, and Debra J. Searles "On the entropy of relaxing deterministic systems", Journal of Chemical Physics '''135''' 194107 (2011)] | |||
[[category:paradox]] | |||
[[category: classical thermodynamics]] | |||
[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
Latest revision as of 12:11, 22 November 2011
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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[edit]
- Related reading
- 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) ISBN 978-0-7923-4311-0
- 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)
- Denis J. Evans, Stephen R. Williams, and Debra J. Searles "On the entropy of relaxing deterministic systems", Journal of Chemical Physics 135 194107 (2011)