Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2012-03-15
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures, 29 references; presented at XIII Workshop on Complex Systems, Andalo, March 2012; derivation of Ehrenfest
Scientific paper
In undercooled liquids, the anharmonicity of the interatomic potentials causes a volume increase of the inherent structures with increasing energy content. In most glass formers, this increase is stronger than the vibrational Gr\"uneisen volume expansion and dominates the thermal expansion of the liquid phase. For a gaussian distribution of inherent states in energy, the generic case, this implies a 1/T-squared temperature dependence of the additional thermal expansion and the additional heat capacity at zero pressure. The corresponding compressibility contribution has the Prigogine-Defay ratio one. In experiment, one finds a higher Prigogine-Defay ratio, explainable in terms of structural volume changes without any energy change. These should always exist, though their influence becomes weak in close-packing systems, at the crossover to soft matter.
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