Connecting microscopic simulations with kinetically constrained models of glasses
arXiv:0704.1497 · doi:10.1103/PhysRevE.76.031502
Abstract
Kinetically constrained spin models are known to exhibit dynamical behavior mimicking that of glass forming systems. They are often understood as coarse-grained models of glass formers, in terms of some "mobility" field. The identity of this "mobility" field has remained elusive due to the lack of coarse-graining procedures to obtain these models from a more microscopic point of view. Here we exhibit a scheme to map the dynamics of a two-dimensional soft disc glass former onto a kinetically constrained spin model, providing an attempt at bridging these two approaches.
6 pages, 5 figures, revised version
References in corpus (31)
- Dynamical heterogeneities in a supercooled Lennard-Jones liquid
- String-like Clusters and Cooperative Motion in a Model Glass-Forming Liquid
- Direct experimental evidence of a growing length scale accompanying the glass transition
- Glassy dynamics of kinetically constrained models
- Spatial Correlations of Mobility and Immobility in a Glassforming Lennard-Jones Liquid
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
- Properties of cage rearrangements observed near the colloidal glass transition
- Direct observation of molecular cooperativity near the glass transition
- Coarse-grained microscopic model of glass formers
- The Shapes of Cooperatively Rearranging Regions in Glass Forming Liquids
- What do we learn from the shape of the dynamical susceptibility of glass-formers?
- Heterogeneous Diffusion in Highly Supercooled Liquids
- Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
- On nonlinear susceptibility in supercooled liquids
- Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition
- Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
- Growing spatial correlations of particle displacements in a simulated liquid on cooling toward the glass transition
- Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain
- Real space origin of temperature crossovers in supercooled liquids
- Spatially heterogeneous dynamics and dynamic facilitation in a model of viscous silica
- Heterogeneous aging in spin glasses
- Relaxation in a glassy binary mixture: Mode-coupling-like power laws, dynamic heterogeneity and a new non-Gaussian parameter
- Spatially heterogeneous ages in glassy dynamics
- Out-of-equilibrium dynamical fluctuations in glassy systems
- Non-topographic description of inherent structure dynamics in glass formers
- Separation of time-scales and reparametrization invariance for aging systems
- Finite size scaling analysis of the glass transition
- Local fluctuations in the aging of a simple glass
- Time scale for the onset of Fickian diffusion in supercooled liquids
- The viscous slowing down of supercooled liquids as a temperature-controlled superArrhenius activated process: a description in terms of frustration-limited domains