Prigogine-Defay ratio - Revision history

Carl McBride: /* References */ Added a recent publication

2012-03-23T15:21:17Z

References: Added a recent publication

← Older revision		Revision as of 17:21, 23 March 2012
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	*[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]		*[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]
	*[http://dx.doi.org/10.1063/1.3664180 R. Casalini, R. F. Gamache, and C. M. Roland "Density-scaling and the Prigogine–Defay ratio in liquids", Journal of Chemical Physics '''135''' 224501 (2011)]		*[http://dx.doi.org/10.1063/1.3664180 R. Casalini, R. F. Gamache, and C. M. Roland "Density-scaling and the Prigogine–Defay ratio in liquids", Journal of Chemical Physics '''135''' 224501 (2011)]
			*[http://dx.doi.org/10.1063/1.3694531 Timur V. Tropin, Jürn W. P. Schmelzer, Ivan Gutzow, and Christoph Schick "On the theoretical determination of the Prigogine-Defay ratio in glass transition", Journal of Chemical Physics '''136''' 124502 (2012)]

	[[Category: Complex systems]]		[[Category: Complex systems]]

Carl McBride: Corrected typo-

2011-12-15T10:30:34Z

Corrected typo-

← Older revision		Revision as of 12:30, 15 December 2011
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	;Related reading		;Related reading
	*[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]		*[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]
	*[http://dx.doi.org/10.1063/1.3664180 R. Casalini, R. F. Gamache, and C. M. Roland "-scaling and the Prigogine–Defay ratio in liquids", Journal of Chemical Physics '''135''' 224501 (2011)]		*[http://dx.doi.org/10.1063/1.3664180 R. Casalini, R. F. Gamache, and C. M. Roland "Density-scaling and the Prigogine–Defay ratio in liquids", Journal of Chemical Physics '''135''' 224501 (2011)]


	[[Category: Complex systems]]		[[Category: Complex systems]]

Carl McBride: Added a recent publication

2011-12-12T13:48:44Z

Added a recent publication

← Older revision		Revision as of 15:48, 12 December 2011
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	{{stub-general}}		{{stub-general}}
	The '''Prigogine-Defay ratio''' is given by (~~Ref~~. ~~2 Eq~~. 1):		The '''Prigogine-Defay ratio'''<ref>I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) ISBN 0582462835 (out of print)</ref> is given by (Eq. 1 of <ref>[http://dx.doi.org/10.1063/1.2374894 Jürn W. P. Schmelzer and Ivan Gutzow "The Prigogine-Defay ratio revisited", Journal of Chemical Physics '''125''' 184511 (2006)]</ref>):

	:<math>\Pi = \frac{1}{VT} \left. \frac{\Delta C_p \Delta k}{ (\Delta \alpha)^2} \right\|_{T=T_g}</math>		:<math>\Pi = \frac{1}{VT} \left. \frac{\Delta C_p \Delta k}{ (\Delta \alpha)^2} \right\|_{T=T_g}</math>
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	where <math>V</math> is the volume, <math>T</math> is the [[temperature]], <math>T_g</math> is the temperature of the [[glass transition]], <math>C_p</math> is the [[heat capacity \| isobaric heat capacity]], <math>k</math> is the [[compressibility]] and <math>\alpha</math> is the [[thermal expansion coefficient]].		where <math>V</math> is the volume, <math>T</math> is the [[temperature]], <math>T_g</math> is the temperature of the [[glass transition]], <math>C_p</math> is the [[heat capacity \| isobaric heat capacity]], <math>k</math> is the [[compressibility]] and <math>\alpha</math> is the [[thermal expansion coefficient]].
	==References==		==References==
	~~#I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print)~~		<references/>
	#[http://dx.doi.org/10.1063/1.~~2374894 Jürn W~~. P. ~~Schmelzer and Ivan Gutzow~~ "The ~~Prigogine-Defay~~ ratio ~~revisited~~", Journal of Chemical Physics '''~~125~~''' ~~184511~~ (~~2006~~)]		;Related reading
	#[http://dx.doi.org/10.1063/1.~~2969899~~ R. M. ~~Pick~~ "~~The~~ Prigogine–Defay ratio ~~and the microscopic theory of supercooled~~ liquids", Journal of Chemical Physics '''~~129~~''' ~~124115~~ (~~2008~~)]		*[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]
			*[http://dx.doi.org/10.1063/1.3664180 R. Casalini, R. F. Gamache, and C. M. Roland "-scaling and the Prigogine–Defay ratio in liquids", Journal of Chemical Physics '''135''' 224501 (2011)]


	[[Category: Complex systems]]		[[Category: Complex systems]]

Carl McBride: Added the equation and another reference.

2008-10-02T12:53:13Z

Added the equation and another reference.

← Older revision		Revision as of 14:53, 2 October 2008
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	{{stub-general}}		{{stub-general}}
			The '''Prigogine-Defay ratio''' is given by (Ref. 2 Eq. 1):

			:<math>\Pi = \frac{1}{VT} \left. \frac{\Delta C_p \Delta k}{ (\Delta \alpha)^2} \right\|_{T=T_g}</math>

			where <math>V</math> is the volume, <math>T</math> is the [[temperature]], <math>T_g</math> is the temperature of the [[glass transition]], <math>C_p</math> is the [[heat capacity \| isobaric heat capacity]], <math>k</math> is the [[compressibility]] and <math>\alpha</math> is the [[thermal expansion coefficient]].
	==References==		==References==
	#I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print)		#I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print)
			#[http://dx.doi.org/10.1063/1.2374894 Jürn W. P. Schmelzer and Ivan Gutzow "The Prigogine-Defay ratio revisited", Journal of Chemical Physics '''125''' 184511 (2006)]
	#[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]		#[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]
	[[Category: Complex systems]]		[[Category: Complex systems]]

Carl McBride: New page: {{stub-general}} ==References== #I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print) #[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay r...

2008-10-01T08:53:36Z

New page: {{stub-general}} ==References== #I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print) #[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay r...

New page

{{stub-general}}
==References==
#I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print)
#[http://dx.doi.org/10.1063/1.2969899 R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics '''129''' 124115 (2008)]
[[Category: Complex systems]]