Microscopic Theory of Heterogeneity and Non-Exponential Relaxations in Supercooled Liquids

Abstract

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass transition. Using a microscopic approach based on this theory, we derive a relation between the departure from Debye relaxation as characterized by the $\beta$ value of a stretched exponential response function $\varphi (t)=e^{-(t/{\tau }_{KWW}{)}^{\beta }}$, and the fragility of the liquid. The $\beta$ value is also predicted to depend on temperature and to vanish as the ideal glass transition is approached at the Kauzmann temperature.

arXiv comment4 pages including 3 eps figures

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