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تسجيل مستخدم جديدFrom ageing to immortality: cluster growth in stirred colloidal solutions
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Anita Mehta
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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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