Space-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems
arXiv:cond-mat/0604068 · doi:10.1063/1.2374885
Abstract
In a recent article [M. Merolle et al., Proc. Natl. Acad. Sci. USA 102, 10837 (2005)] it was argued that dynamic heterogeneity in -dimensional glass formers is a manifestation of an order-disorder phenomenon in the dimensions of spacetime. By considering a dynamical analogue of the free energy, evidence was found for phase coexistence between active and inactive regions of spacetime, and it was suggested that this phenomenon underlies the glass transition. Here we develop these ideas further by investigating in detail the one-dimensional Fredrickson-Andersen (FA) model in which the active and inactive phases originate in the reducibility of the dynamics. We illustrate the phase coexistence by considering the distributions of mesoscopic spacetime observables. We show how the analogy with phase coexistence can be strengthened by breaking microscopic reversibility in the FA model, leading to a non-equilibrium theory in the directed percolation universality class.
12 pages, 11 figures, final version with minor changes
References in corpus (17)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Glassy dynamics of kinetically constrained models
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Coarse-grained microscopic model of glass formers
- Direct evaluation of large-deviation functions
- What do we learn from the shape of the dynamical susceptibility of glass-formers?
- Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids
- Space-time Thermodynamics of the Glass Transition
- Time Resolved Correlation measurements of temporally heterogeneous dynamics
- Jamming Percolation and Glass Transitions in Lattice Models
- Dynamical Exchanges in Facilitated Models of Supercooled liquids
- Heterogeneity and growing lengthscales in the dynamics of kinetically constrained lattice gases in two dimensions
- Out-of-equilibrium dynamical fluctuations in glassy systems
- Cooperative Behavior of Kinetically Constrained Lattice Gas Models of Glassy Dynamics
- Criterion for universality class independent critical fluctuations: example of the 2D Ising model
- Mappings between reaction-diffusion and kinetically constrained systems: A+A <-> A and the FA model have upper critical dimension d_c=2
- Subdiffusion and dynamical heterogeneities in a lattice glass model
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- Constrained dynamics of localized excitations causes a non-equilibrium phase transition in an atomistic model of glass formers
- Deconstructing the glass transition through critical experiments on colloids
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- Phase transition for quenched coupled replicas in a plaquette spin model of glasses
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- Large deviations of the dynamical activity in the East model: analysing structure in biased trajectories
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- Dynamical phase transitions in supercooled liquids: interpreting measurements of dynamical activity
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- Aging in One-Dimensional Coagulation-Diffusion Processes and the Fredrickson-Andersen Model
- Efficient characterisation of large deviations using population dynamics
- Simulating Lattice Spin Models on Graphics Processing Units
- Space-time phase transitions in the East model with a softened kinetic constraint
- The dynamic nature of high pressure ice VII
- Using the s-Ensemble to Probe Glasses Formed by Cooling and Aging
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- Dynamical coexistence in moderately polydisperse hard-sphere glasses
- Solvation in Space-Time: Pre-transition Effects in Trajectory Space
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- Exponential Scaling of Water Exchange Rates with Ion Interaction Strength from the Perspective of Dynamic Facilitation Theory
- Dynamical phase coexistence in the Fredrickson-Andersen model
- Dynamic propensity in a kinetically constrained lattice gas
- Slow relaxation, dynamic transitions and extreme value statistics in disordered systems
- Active Fluctuation Symmetries
- Dynamical phase transitions in one-dimensional hard-particle systems
- Monotonicity of the dynamical activity
- Bringing together two paradigms of non-equilibrium: Fragile versus robust aging in driven glassy systems
- Dynamical phase transitions for the activity biased Ising model in a magnetic field
- Long-ranged correlations in large deviations of local clustering
- Death and resurrection of a current by disorder, interaction or activity
- Activity induced first order transition for the current in a disordered medium
- Counting metastable states in a kinetically constrained model using a patch repetition analysis