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arxiv: cond-mat/9712065 · v1 · pith:NNXEZNBJnew · submitted 1997-12-05 · ❄️ cond-mat

Why are glass-forming liquids non-Arrhenius?

classification ❄️ cond-mat
keywords modelnon-arrheniusaverageglass-formingliquidsmodelsrelaxationtemperature-dependence
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A major mystery of glass-forming liquids is the non-Arrhenius temperature-dependence of the average relaxation time. This paper briefly reviews the classical phenomenological models for this phenomenon - the free-volume model and the entropy model - and critiques against these models. We then discuss a recent model [Dyre, Olsen, and Christensen, Phys. Rev. B 53, 2171 (1996)] according to which the activation energy for the average relaxation time is determined by the work done in shoving aside the surrounding liquid to create space needed for a flow event. In this model the non-Arrhenius temperature-dependence is a consequence of the fact that the instantaneous (infinite-frequency) shear modulus increases upon cooling.

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