Long-Wavelength Anomalies in the Asymptotic Behavior of Mode-Coupling Theory

Abstract

We discuss the dynamic behavior of a tagged particle close to a classical localization transition in the framework of the mode-coupling theory of the glass transition. Asymptotic results are derived for the order parameter as well as the dynamic correlation functions and the mean-squared displacement close to the transition. The influence of an infrared cutoff is discussed.

15 pages, 8 figures, to appear in J Phys Condens Matter

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