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Kinetically constrained models (KCMs) have been used to study and understandthe origin of glassy dynamics. Despite having trivial thermodynamic properties,their dynamics slows down dramatically at low temperatures while displayingdynamical heterogeneity as seen in glass forming supercooled liquids. Thisdynamics has its origin in an ergodic-nonergodic first-order phase transitionbetween phases of distinct dynamical "activity". This is a "space-time"transition as it corresponds to a singular change in ensembles of trajectoriesof the dynamics rather than ensembles of configurations. Here we extend theseideas to driven glassy systems by considering KCMs driven into non-equilibriumsteady states through non-conservative forces. By classifying trajectoriesthrough their entropy production we prove that driven KCMs also display ananalogous first-order space-time transition between dynamical phases of finiteand vanishing entropy production. We also discuss how trajectories with rarevalues of entropy production can be realized as typical trajectories of amapped system with modified forces.

Space-time Phase Transitions in Driven Kinetically Constrained Lattice Models