Abstract

The thermal properties of a model liquid are expressed in terms of the properties of the glasses that it samples. Each glass is modeled as an Einstein solid with enthalpy H0 at absolute zero and an Einstein temperature that decreases linearly with H0. The number of glasses with enthalpy H0 is represented by a Gaussian distribution. The range over which the liquid exists is bounded below by a Kauzmann temperature, where it has the same entropy as an individual glass, and bounded above by a heat capacity divergence.

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