Eur. Phys. J. B 79, 1-6 (2011)
https://doi.org/10.1140/epjb/e2010-10800-x

Space-time phase transitions in driven kinetically constrained lattice models

¹ Department of Chemistry, University of California, Berkeley, California, 94720, USA
² Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California, 94720, USA
³ Department of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK

Corresponding author: ^a tspeck@lbl.gov

Received: 21 July 2010
Revised: 19 October 2010
Published online: 21 December 2010

Abstract

Kinetically constrained models (KCMs) have been widely used to study and understand the origin of glassy dynamics. These models show an ergodic-nonergodic first-order phase transition between phases of distinct dynamical “activity”. We introduce driven variants of two popular KCMs, the FA model and the (2)-TLG, as models for driven supercooled liquids. By classifying trajectories through their entropy production we prove that driven KCMs display an analogous first-order space-time transition between dynamical phases of finite and vanishing entropy production. We discuss how trajectories with rare values of entropy production can be realized as typical trajectories of a mapped system with modified forces.