Large deviations and heterogeneities in a driven kinetically constrained model

Abstract

Kinetically Constrained Models (KCMs) have been widely studied in the context of glassy dynamics, focusing on the influence of dynamical constraints on the slowing down of the dynamics of a macroscopic system. In these models, it has been shown using the thermodynamic formalism for histories, that there is a coexistence between an active and an inactive phase. This coexistence can be described by a first-order transition, and a related discontinuity in the derivative of the large deviation function for the activity. We show that adding a driving field to a KCM model does not destroy this first-order transition for the activity. Moreover, a singularity is also found in the large deviation function of the current at large fields. We relate for the first time this property to microscopic structures, in particular the heterogeneous, intermittent dynamics of the particles, transient shear-banding and blocking walls. We describe both the shear-thinning and the shear-thickening regimes, and find that the behaviour of the current is well reproduced by a simple model.

5 pages, 5 figures

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• Nonequilibrium thermodynamic potentials for continuous-time Markov chains
• Driving kinetically constrained models into non-equilibrium steady states: structural and slow transport properties
• Dynamical heterogeneities in a two dimensional driven glassy model: current fluctuations and finite size effects
• Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems
• Cooperative transport with selective kinetic constraints
• Emerging quasi-0D states at vanishing total entropy of the 1D hard sphere system: a coarse-grained similarity to the car parking problem