Two-stage coarsening mechanism in a kinetically constrained model of an attractive colloid

2005/05/31 by Stephen Whitelam, Phillip L. Geissler
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.73.016115

published as Phys. Rev. E 73, 1, 058601 (2006) · 10 pages

arxiv created 2005/12/31 · openalex publication_date 2006/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 predict that the characteristic relaxation time of the model is a nonmonotonic function of attraction strength, again in agreement with numerical results.

Citations

• Glassy dynamics in the asymmetrically constrained kinetic Ising chain
• Facilitated spin models in one dimension: A real-space renormalization group study
• Non-equilibrium critical phenomena and phase transitions into absorbing states
• Glassy Time-Scale Divergence and Anomalous Coarsening in a Kinetically Constrained Spin Chain
• Models of Hierarchically Constrained Dynamics for Glassy Relaxation
• Glassy dynamics of kinetically constrained models