%0 Journal Article
%T Renormalization group study of a kinetically constrained model for strong glasses
%+ Laboratoire des colloïdes, verres et nanomatériaux (LCVN)
%A Whitelam, Stephen
%A Berthier, Ludovic
%A Garrahan, Juan P.
%< avec comité de lecture
%@ 1539-3755
%J Physical Review E : Statistical, Nonlinear, and Soft Matter Physics
%I American Physical Society
%V 71
%P 026128
%8 2005
%D 2005
%Z cond-mat/0408694
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]Journal articles
%X 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.
%G English
%L hal-00012892
%U https://hal.science/hal-00012892
%~ CNRS
%~ UNIV-MONTP2
%~ LCVN
%~ UNIV-MONTPELLIER
%~ UM1-UM2