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arXiv · cond-mat/0008432

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

Xiaoyu Xia·Peter G. Wolynes
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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 $β$ value of a stretched exponential response function $ϕ(t) =e^{-(t/ τ_{KWW})^β}$, and the fragility of the liquid. The $β$ value is also predicted to depend on temperature and to vanish as the ideal glass transition is approached at the Kauzmann temperature.

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Xiaoyu Xia, Peter G. Wolynes. 2000-08-30. Microscopic Theory of Heterogeneity and Non-Exponential Relaxations in Supercooled Liquids. https://doi.org/10.1103/physrevlett.86.5526

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