%0 Journal Article %T Dynamic first-order phase transition in kinetically constrained models of glasses %+ School of Physics and Astronomy [Nottingham] %+ Department of Chemistry [Berkeley] %+ Matière et Systèmes Complexes (MSC) %+ Laboratoire des colloïdes, verres et nanomatériaux (LCVN) %A Garrahan, Juan P. %A Jack, Robert, L %A Lecomte, Vivien %A Pitard, Estelle %A van Duijvendijk, Kristina %A van Wijland, Frédéric %Z This work was supported by EPSRC grants no. GR/R83712/01 and GR/S54074/01 (JPG); NSF grant CHE-0543158 (RLJ) ; and a French Ministry of Education ANR grant JCJC-CHEF. %Z 4.1 pages, 3 figures %< avec comité de lecture %Z 07-167 %@ 0031-9007 %J Physical Review Letters %I American Physical Society %V 98 %N 19 %P 195702 %8 2007-05-11 %D 2007 %Z cond-mat/0701757 %R 10.1103/PhysRevLett.98.195702 %M 17677633 %Z PACS: 64.70.Pf; 05.40.-a %Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] %Z Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]Journal articles %X We show that the dynamics of kinetically constrained models of glass formerstakes place at a first-order coexistence line between active and inactivedynamical phases. We prove this by computing the large-deviation functions ofsuitable space-time observables, such as the number of configuration changes ina trajectory. We present analytic results for dynamic facilitated models in amean-field approximation, and numerical results for the Fredrickson-Andersenmodel, the East model, and constrained lattice gases, in various dimensions.This dynamical first-order transition is generic in kinetically constrainedmodels, and we expect it to be present in systems with fully jammed states. %G English %2 https://hal.science/hal-00364940/document %2 https://hal.science/hal-00364940/file/0701757.pdf %L hal-00364940 %U https://hal.science/hal-00364940 %~ UNIV-PARIS7 %~ CNRS %~ UNIV-MONTP2 %~ LCVN %~ TDS-MACS %~ UNIV-MONTPELLIER %~ UNIV-PARIS %~ UP-SCIENCES %~ ANR %~ MSC-LAB %~ UM1-UM2