Prigogine-Defay ratio: Difference between revisions
Carl McBride (talk | contribs) (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...) |
Carl McBride (talk | contribs) (Added the equation and another reference.) |
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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]] | ||
Revision as of 13:53, 2 October 2008
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The Prigogine-Defay ratio is given by (Ref. 2 Eq. 1):
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Pi = \frac{1}{VT} \left. \frac{\Delta C_p \Delta k}{ (\Delta \alpha)^2} \right|_{T=T_g}}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V} is the volume, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T_g} is the temperature of the glass transition, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C_p} is the isobaric heat capacity, is the compressibility and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} is the thermal expansion coefficient.
References
- I. Prigogine and R. Defay "Chemical Thermodynamics" Longman (1954) (out of print)
- Jürn W. P. Schmelzer and Ivan Gutzow "The Prigogine-Defay ratio revisited", Journal of Chemical Physics 125 184511 (2006)
- R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics 129 124115 (2008)