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

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

2005-05-12

arxiv.org/abs/cond-mat/0505332v2

Phys. Rev. E 73, 1, 058601 (2006)

Physics

Condensed Matter

Statistical Mechanics

10 pages

Scientific paper

10.1103/PhysRevE.73.016115

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.

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