Space-time Phase Transitions in Driven Kinetically Constrained Lattice Models

Abstract

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

References in corpus (23)

• The large deviation approach to statistical mechanics
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Supercooled Liquids for Pedestrians
• Glassy dynamics of kinetically constrained models
• Dynamics on the Way to Forming Glass: Bubbles in Space-time
• On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
• Dynamic first-order phase transition in kinetically constrained models of glasses
• First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
• Fluctuations and response of nonequilibrium states
• Thermodynamics of glasses: a first principle computation
• Thermodynamic formalism for systems with Markov dynamics
• Large deviations and ensembles of trajectories in stochastic models
• Dynamic criticality in glass-forming liquids
• Forced motion of a probe particle near the colloidal glass transition
• Heterogeneity and growing lengthscales in the dynamics of kinetically constrained lattice gases in two dimensions
• Large deviation function for entropy production in driven one-dimensional systems
• Invariant quantities in shear flow
• Asymmetric exclusion processes with constrained dynamics
• Jamming Mechanisms and Density Dependence in a Kinetically-Constrained Model
• Interrupted coarsening in a driven kinetically constrained Ising chain
• Thermodynamics of histories for the one-dimensional contact process

Cited by in corpus (18)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Nonequilibrium microcanonical and canonical ensembles and their equivalence
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Constrained dynamics of localized excitations causes a non-equilibrium phase transition in an atomistic model of glass formers
• Importance sampling large deviations in nonequilibrium steady states. I
• Large deviation function for the entropy production: Optimal trajectory and role of fluctuations
• Inequivalence of nonequilibrium path ensembles: the example of stochastic bridges
• Dynamical large deviations of linear diffusions
• A large deviation theory perspective on nanoscale transport phenomena
• Large deviations and heterogeneities in a driven kinetically constrained model
• Dynamical coexistence in moderately polydisperse hard-sphere glasses
• Dispersion for Two Classes of Random Variables: General Theory and Application to Inference of an External Ligand Concentration by a Cell
• Non equivalence of dynamical ensembles and emergent non ergodicity
• Thermodynamic formalism and linear response theory for non-equilibrium steady states
• Modeling of biomolecular machines in non-equilibrium steady states
• Dynamical symmetries and crossovers in a three-spin system with collective dissipation
• Numerical comparison of a constrained path ensemble and a driven quasisteady state
• Emerging quasi-0D states at vanishing total entropy of the 1D hard sphere system: a coarse-grained similarity to the car parking problem