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 "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]] | ||
Latest revision as of 16:21, 23 March 2012
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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 is the thermal expansion coefficient.
References[edit]
- ↑ 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
- R. M. Pick "The Prigogine–Defay ratio and the microscopic theory of supercooled liquids", Journal of Chemical Physics 129 124115 (2008)
- 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)
- 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)