Counting metastable states in a kinetically constrained model using a patch repetition analysis
arXiv:1309.6247 · doi:10.1103/PhysRevE.88.062113
Abstract
We analyse metastable states in the East model, using a recently-proposed patch-repetition analysis based on time-averaged density profiles. The results reveal a hierarchy of states of varying lifetimes, consistent with previous studies in which the metastable states were identified and used to explain the glassy dynamics of the model. We establish a mapping between these states and configurations of systems of hard rods, which allows us to analyse both typical and atypical metastable states. We discuss connections between the complexity of metastable states and large-deviation functions of dynamical quantities, both in the context of the East model and more generally in glassy systems.
10 pages, 5 figures
References in corpus (10)
- The large deviation approach to statistical mechanics
- Glassy dynamics of kinetically constrained models
- 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
- Finite-temperature critical point of a glass transition
- Overlap fluctuations in glass-forming liquids
- Calorimetric glass transition explained by hierarchical dynamic facilitation
- Space-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems
- Glassy dynamics in the East model
- Characterizing order in amorphous systems