Two-stage coarsening mechanism in a kinetically constrained model of an attractive colloid
arXiv:cond-mat/0505332 · doi:10.1103/PhysRevE.73.016115
Abstract
We study an attractive version of the East model using the real-space renormalization group (RG) introduced by Stella et al. The former is a kinetically constrained model with an Ising-like interaction between excitations, and shows striking agreement with the phenomonology of attractive colloidal systems. We find that the RG predicts two nonuniversal dynamic exponents, which suggests that in the out-of-equilibrium regime the model coarsens via a two-stage mechanism. We explain this mechanism physically, and verify this prediction numerically. In addition, we find that the characteristic relaxation time of the model is a non-monotonic function of attraction strength, again in agreement with numerical results.
arXiv comment10 pages
References in corpus (18)
- 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
- Glasses in hard spheres with short-range attraction
- Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain
- Spatial structures and dynamics of kinetically constrained models for glasses
- Real space origin of temperature crossovers in supercooled liquids
- Density Matrix Renormalization Group and Reaction-Diffusion Processes
- The Asymmetric One-Dimensional Constrained Ising Model
- Non-topographic description of inherent structure dynamics in glass formers
- Glassy dynamics in the East model
- Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
- Crossover from Fragile to Strong Glassy Behaviour in Kinetically Constrained Systems
- Short-ranged attractions in jammed liquids: How cooling can melt a glass
- The one-dimensional contact process: duality and renormalisation
- Quantum Scaling Approach to Nonequilibrium Models
- Facilitated spin models in one dimension: a real-space renormalization group study