title: Critical dynamical heterogeneities close to continuous second-order glass transitions.
abstract: We analyze, using inhomogeneous mode-coupling theory, the critical scaling behavior of the dynamical susceptibility at a distance ε from continuous second-order glass transitions. We find that the dynamical correlation length ξ behaves generically as ε(-1/3) and that the upper critical dimension is equal to six. More surprisingly, we find that ξ grows with time as ln²t exactly at criticality. All of these results suggest a deep analogy between the glassy behavior of attractive colloids or randomly pinned supercooled liquids and that of the random field Ising model.
authors.affiliation: Institut de Physique Théorique, CEA/DSM/IPhT-CNRS/URA 2306 CEA-Saclay, F-91191 Gif-sur-Yvette, France.
authors.forename: Saroj Kumar
authors.initials: SK
authors.lastname: Nandi
authors.affiliation: Institut de Physique Théorique, CEA/DSM/IPhT-CNRS/URA 2306 CEA-Saclay, F-91191 Gif-sur-Yvette, France.
authors.forename: Giulio
authors.initials: G
authors.lastname: Biroli
authors.affiliation: Capital Fund Management, 23 rue de l'Université, 75007 Paris, France.
authors.forename: Jean-Philippe
authors.initials: JP
authors.lastname: Bouchaud
authors.affiliation: Department of Physics, Nagoya University, Nagoya 464-8602, Japan.
authors.forename: Kunimasa
authors.initials: K
authors.lastname: Miyazaki
authors.affiliation: Department of Chemistry, Columbia University, 3000 Broadway, New York, New York 10027, USA.
authors.forename: David R
authors.initials: DR
authors.lastname: Reichman