Renormalization group study of a kinetically constrained model for strong glasses
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.
Cite
@article{arxiv.cond-mat/0408694,
title = {Renormalization group study of a kinetically constrained model for strong glasses},
author = {Stephen Whitelam and Ludovic Berthier and Juan P. Garrahan},
journal= {arXiv preprint arXiv:cond-mat/0408694},
year = {2009}
}