Phenomenological model of supercooled liquid as a possible resolution of the Kauzmann paradox

Abstract

The diverging relaxation time in approaching hypothetical ideal glass transition is a subject of hot debate. In the current paper we demonstrate, how diverging relaxation time and turning excess entropy to zero (which is an essence of Kauzmann's paradox) can be avoided, using as an example the model molecular glassformer, propylene carbonate. For this purpose we compare its thermodynamic and dielectric relaxation properties, both known from the literature. The agreement between two sets of data can be achieved, if we suppose, that enthalpy of supercooled liquid propylene carbonate is governed by activation law, and relaxation time follows double exponential law. We propose the generalized Adam-Gibbs law to reconcile this two dependencies, and qualitatively discuss its implications.

References in corpus (6)

• Glassy Aging Dynamics
• Thermal expansion and the glass transition
• Temperature development of glassy alpha-relaxation dynamics determined by broadband dielectric spectroscopy
• Unifying interatomic potential, g(r), elasticity, viscosity, and fragility of metallic glasses: analytical model, simulations, and experiments
• Universal correlations between the fragility and interparticle repulsion of glass-forming liquids
• Direct link between boson-peak modes and dielectric $\alpha$-relaxation in glasses