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Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses

Giulio Biroli·Jean-Philippe Bouchaud
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Abstract

We argue that the critical dynamical fluctuations predicted by the mode-coupling theory (MCT) of glasses provide a natural mechanism to explain the breakdown of the Stokes-Einstein relation. This breakdown, observed numerically and experimentally in a region where MCT should hold, is one of the major difficulty of the theory, for which we propose a natural resolution based on the recent interpretation of the MCT transition as a bona fide critical point with a diverging length scale. We also show that the upper critical dimension of MCT is d_c=8.

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Giulio Biroli, Jean-Philippe Bouchaud. 2006-09-27. Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses. https://doi.org/10.1088/0953-8984%2F19%2F20%2F205101

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