Dynamical First-Order Phase Transition in Kinetically Constrained Models of Glasses

J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland
Phys. Rev. Lett. 98, 195702 – Published 9 May 2007

Abstract

We show that the dynamics of kinetically constrained models of glass formers takes place at a first-order coexistence line between active and inactive dynamical phases. We prove this by computing the large-deviation functions of suitable space-time observables, such as the number of configuration changes in a trajectory. We present analytic results for dynamic facilitated models in a mean-field approximation, and numerical results for the Fredrickson-Andersen model, the East model, and constrained lattice gases, in various dimensions. This dynamical first-order transition is generic in kinetically constrained models, and we expect it to be present in systems with fully jammed states.

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  • Received 1 February 2007

DOI:https://doi.org/10.1103/PhysRevLett.98.195702

©2007 American Physical Society

Authors & Affiliations

J. P. Garrahan1, R. L. Jack2, V. Lecomte3, E. Pitard4, K. van Duijvendijk3, and F. van Wijland3

  • 1School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK
  • 2Department of Chemistry, University of California, Berkeley, California 94720-1460, USA
  • 3Laboratoire Matière et Systèmes Complexes (CNRS UMR 7057), Université de Paris VII, 10 rue Alice Domon et Léonie Duquet, 75205 Paris cedex 13, France
  • 4Laboratoire des Colloïdes, Verres et Nanomatériaux (CNRS UMR 5587), Université de Montpellier II, place Eugène Bataillon, 34095 Montpellier cedex 5, France

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Issue

Vol. 98, Iss. 19 — 11 May 2007

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