From ageing to immortality: cluster growth in stirred colloidal solutions

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dc.creatorMehta, Anita
dc.date2004-11-27
dc.date.accessioned2026-07-07T08:05:25Z
dc.date.available2026-07-07T08:05:25Z
dc.descriptionThis 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.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0411684
dc.identifierhttp://arxiv.org/abs/cond-mat/0411684
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130279
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleFrom ageing to immortality: cluster growth in stirred colloidal solutions
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