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Renormalization group study of a kinetically constrained model for strong glasses

Stephen Whitelam·Ludovic Berthier·Juan P. Garrahan
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Abstract

We derive a dynamic field theory for a kinetically constrained model, based on the Fredrickson--Andersen model, which we expect to describe the properties of an Arrhenius (strong) supercooled liquid at the coarse-grained level. We study this field theory using the renormalization group. For mesoscopic length and time scales, and for space dimension d \geq 2, the behaviour of the model is governed by a zero-temperature dynamical critical point in the directed percolation universality class. We argue that in d=1 its behaviour is that of compact directed percolation. We perform detailed numerical simulations of the corresponding Fredrickson-Andersen model on the lattice in various dimensions, and find reasonable quantitative agreement with the field theory predictions.

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Stephen Whitelam, Ludovic Berthier, Juan P. Garrahan. 2004-08-31. Renormalization group study of a kinetically constrained model for strong glasses. https://doi.org/10.1103/physreve.71.026128

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