Large deviations and heterogeneities in a driven kinetically constrained model

TL;DR

This paper investigates how adding a driving field affects the dynamical phase transitions in kinetically constrained models, revealing persistent first-order transitions and linking them to microscopic heterogeneities and flow behaviors.

Contribution

It demonstrates that a driving field does not eliminate the first-order transition in KCMs and connects this to microscopic structures and flow regimes.

Findings

First-order transition persists under driving fields.

Large deviation function shows singularity at high fields.

Heterogeneous dynamics explain flow regimes.

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.