First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories

Abstract

We investigate the dynamics of kinetically constrained models of glass formers by analysing the statistics of trajectories of the dynamics, or histories, using large deviation function methods. We show that, in general, these models exhibit a first-order dynamical transition between active and inactive dynamical phases. We argue that the dynamical heterogeneities displayed by these systems are a manifestation of dynamical first-order phase coexistence. In particular, we calculate dynamical large deviation functions, both analytically and numerically, for the Fredrickson-Andersen model, the East model, and constrained lattice gas models. We also show how large deviation functions can be obtained from a Landau-like theory for dynamical fluctuations. We discuss possibilities for similar dynamical phase-coexistence behaviour in other systems with heterogeneous dynamics.

29 pages, 7 figs, final version

References in corpus (38)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Fluctuation theorem for stochastic dynamics
• Glassy dynamics of kinetically constrained models
• On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
• Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
• Dynamic first-order phase transition in kinetically constrained models of glasses
• Fragilities of Liquids Predicted from the Random First Order Transition Theory of Glasses
• The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
• Thermodynamics of glasses: a first principle computation
• Thermodynamic formalism for systems with Markov dynamics
• Direct evaluation of large-deviation functions
• Theory of Branching and Annihilating Random Walks
• Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids
• Space-time Thermodynamics of the Glass Transition
• Field Theory of Branching and Annihilating Random Walks
• Dynamic criticality in glass-forming liquids
• Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
• A numerical approach to large deviations in continuous-time
• Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain
• Steady state statistics of driven diffusions
• Probing rare physical trajectories with Lyapunov weighted dynamics
• Chaotic properties of systems with Markov dynamics
• Heterogeneity and growing lengthscales in the dynamics of kinetically constrained lattice gases in two dimensions
• The Asymmetric One-Dimensional Constrained Ising Model
• Reaction-Diffusion Processes from Equivalent Integrable Quantum Chains
• Space-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems
• Work probability distribution in systems driven out of equilibrium
• Dynamic Entropy as a Measure of Caging and Persistent Particle Motion in Supercooled Liquids
• Aging in lattice-gas models with constrained dynamics
• Work and heat fluctuations in two-state systems: a trajectory thermodynamics formalism
• Cooperative Behavior of Kinetically Constrained Lattice Gas Models of Glassy Dynamics
• A selection of nonequilibrium issues
• Reflection positivity and phase transitions in lattice spin models
• Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats
• Mappings between reaction-diffusion and kinetically constrained systems: A+A <-> A and the FA model have upper critical dimension d_c=2
• Short-ranged attractions in jammed liquids: How cooling can melt a glass
• Mode Coupling Approach for spin-facilitated kinetic Ising models

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