Prigogine-Defay ratio

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

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, $C_{p}$ 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)