Prigogine-Defay ratio: Difference between revisions
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The '''Prigogine-Defay ratio''' is given by ( | 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== | ||
<references/> | |||
;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/10.1063/1.3664180 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]] | ||
Revision as of 15:48, 12 December 2011
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The Prigogine-Defay ratio[1] is given by (Eq. 1 of [2]):
where is the volume, is the temperature, is the temperature of the glass transition, 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) ISBN 0582462835 (out of print)
- ↑ Jürn W. P. Schmelzer and Ivan Gutzow "The Prigogine-Defay ratio revisited", Journal of Chemical Physics 125 184511 (2006)
- Related reading