From ageing to immortality: cluster growth in stirred colloidal solutions

Details From ageing to immortality: cluster growth in stirred colloidal solutions From ageing to immortality: cluster growth in stirred colloidal solutions

2004-11-27

arxiv.org/abs/cond-mat/0411684v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

This model describes cluster aggregation in a stirred colloidal solution Interacting clusters compete for growth in this 'winner-takes-all' model; for finite assemblies, the largest cluster always wins, i.e. there is a uniform sediment. In mean-field, the model exhibits glassy dynamics, with two well-separated time scales, corresponding to individual and collective behaviour; the survival probability of a cluster eventually falls off according to a universal law $(\ln t)^{-1/2}$. In finite dimensions, the glassiness is enhanced: the dynamics manifests both {\it ageing} and metastability, where pattern formation is manifested in each metastable state by a fraction of {\it immortal} clusters.

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