Second law of thermodynamics: Difference between revisions
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==References== | ==References== | ||
<references/> | |||
;Related reading | |||
*Nicolas Léonard Sadi Carnot "Réflexions sur la puissance motrice du feu et sur les machines propres à développer cette puissance" (1824), printed in [http://www.numdam.org/item?id=ASENS_1872_2_1__393_0 Annales scientifiques de l'École Normale Supérieure Sér. '''2''', 1 pp. 393-457 (1872)] | |||
*[http://arxiv.org/abs/1205.6894v1 Esther Hänggi and Stephanie Wehner "A violation of the uncertainty principle implies a violation of the second law of thermodynamics", arXiv:1205.6894v1 <nowiki>[</nowiki>quant-ph<nowiki>]</nowiki> Thu, 31 May 2012] | *[http://arxiv.org/abs/1205.6894v1 Esther Hänggi and Stephanie Wehner "A violation of the uncertainty principle implies a violation of the second law of thermodynamics", arXiv:1205.6894v1 <nowiki>[</nowiki>quant-ph<nowiki>]</nowiki> Thu, 31 May 2012] | ||
*[http://dx.doi.org/10.1063/1.4921558 K. S. Glavatskiy "Lagrangian formulation of irreversible thermodynamics and the second law of thermodynamics", Journal of Chemical Physics '''142''' 204106 (2015)] | |||
[[Category: Classical thermodynamics]] | [[Category: Classical thermodynamics]] | ||
Revision as of 12:10, 1 June 2015
The second law of thermodynamics for a reversible change (that is to say that the system evolves through a succession of equilibrium states) can be written as
Thus for a closed system, having a fixed number of atoms/molecules, one has
where is the internal energy. For an open system:
where is the chemical potential.
For one has the following total differential
See also
References
- Related reading
- Nicolas Léonard Sadi Carnot "Réflexions sur la puissance motrice du feu et sur les machines propres à développer cette puissance" (1824), printed in Annales scientifiques de l'École Normale Supérieure Sér. 2, 1 pp. 393-457 (1872)
- Esther Hänggi and Stephanie Wehner "A violation of the uncertainty principle implies a violation of the second law of thermodynamics", arXiv:1205.6894v1 [quant-ph] Thu, 31 May 2012
- K. S. Glavatskiy "Lagrangian formulation of irreversible thermodynamics and the second law of thermodynamics", Journal of Chemical Physics 142 204106 (2015)