A single-frequency test for one-parameter models of the linear thermo-visco-elastic response of glass-forming liquids

Abstract

A master equation description of the inherent dynamics is used to calculate the frequency-dependent linear thermo-visco-elastic response functions of a glass-forming liquid. From the imaginary parts of the isobaric specific heat, isothermal bulk modulus, and isobaric thermal expansion coefficient, we define a quantity ${\Lambda }_{Tp}(\omega )$ with the property that ${\Lambda }_{Tp}(\omega )=1$ is equivalent to having a one-parameter description of the linear thermo-visco-elastic response. This provides an alternative to the well-known criterion based on the Prigogine-Defay ratio.

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• Kovacs effects in an aging molecular liquid
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• A free-energy landscape picture and Landau theory for the dynamics of disordered materials

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