Le Chatelier's principle - Revision history

Carl McBride: /* References */ Added a new reference.

2009-12-03T12:31:46Z

References: Added a new reference.

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	'''Related reading'''		'''Related reading'''
	*[http://dx.doi.org/10.1103/PhysRevE.63.051105 Denis J. Evans, Debra J. Searles, and Emil Mittag "Fluctuation theorem for Hamiltonian Systems: Le Chatelier’s principle", Physical Review E '''63''' 051105 (2001)]		*[http://dx.doi.org/10.1103/PhysRevE.63.051105 Denis J. Evans, Debra J. Searles, and Emil Mittag "Fluctuation theorem for Hamiltonian Systems: Le Chatelier’s principle", Physical Review E '''63''' 051105 (2001)]
			*[http://dx.doi.org/10.1063/1.3261849 Pouria Dasmeh, Debra J. Searles, Davood Ajloo, Denis J. Evans, and Stephen R. Williams "On violations of Le Chatelier's principle for a temperature change in small systems observed for short times", Journal of Chemical Physics '''131''' 214503 (2009)]
	[[category: classical thermodynamics]]		[[category: classical thermodynamics]]

Nice and Tidy: Slight tidy.

2009-11-16T10:27:10Z

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	~~This~~ principle describes the stability of a system in thermodynamic equilibrium.		'''Le Chatelier's principle''' describes the stability of a system in thermodynamic equilibrium<ref>[http://gallica.bnf.fr/ark:/12148/bpt6k3055h.image.r=Comptes+rendus+1884+Chatelier.f786.langFR H. L. Le Chatelier, "Sur un énoncé général des lois des équilibres chimiques", Comptes rendus '''99''' pp. 786-789 (1884)]</ref><ref>H. L. Le Chatelier, Annales des Mines '''13''' pp. 157- (1888)</ref>:
			:''In response to small deviations away from equilibrium, the system will change in a manner that restores equilibrium.''

	~~'''Le Chatelier's principle:''' ''In response~~ to ~~small deviations away from equilibrium~~, the ~~system will change in~~ a ~~manner that restores equilibrium~~.''		This translates to conditions on the second derivatives of thermodynamic potentials such as [[entropy]], <math>S(U,\ldots)</math>. For instance, the entropy is a concave function of its arguments such as [[internal energy]]. Thus, one has

	~~This translates to conditions on the second derivatives of thermodynamic potentials such as entropy,~~ <math>S(U,\~~ldots)~~</math>~~. For instance, the entropy is a concave function of its arguments such as internal energy. Thus, one has~~		:<math>\frac{\partial^2 S}{\partial U^2} \geq0\ .</math>

	~~<math>\frac{\partial^2 S}{\partial U^2} \geq0\ .</math>~~		Similarly, [[heat capacity \|specific heats]] can be shown to be positive definite.
			==References==
	Similarly, specific heats can be shown to be positive definite.		<references/>
			'''Related reading'''
			*[http://dx.doi.org/10.1103/PhysRevE.63.051105 Denis J. Evans, Debra J. Searles, and Emil Mittag "Fluctuation theorem for Hamiltonian Systems: Le Chatelier’s principle", Physical Review E '''63''' 051105 (2001)]
			[[category: classical thermodynamics]]

121.240.152.3: Add preliminary entry for Le Chatelier's principle

2009-11-16T04:13:26Z

Add preliminary entry for Le Chatelier's principle

New page

This principle describes the stability of a system in thermodynamic equilibrium.

'''Le Chatelier's principle:''' ''In response to small deviations away from equilibrium, the system will change in a manner that restores equilibrium.''

This translates to conditions on the second derivatives of thermodynamic potentials such as entropy, <math>S(U,\ldots)</math>. For instance, the entropy is a concave function of its arguments such as internal energy. Thus, one has

<math>\frac{\partial^2 S}{\partial U^2} \geq0\ .</math>

Similarly, specific heats can be shown to be positive definite.