Prigogine-Defay ratio

The Prigogine-Defay ratio is given by (Eq. 1 of ):

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\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, 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 k} 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

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)