Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation

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The persistence probability, P C(t), of a cluster to remain unaggregated is studied in cluster-cluster aggregation, when the diffusion coefficient of a cluster depends on its size s as D(s)∼sγ. In the mean field the problem maps to the survival of three annihilating random walkers with time-dependent noise correlations. For γ≥0 the motion of persistent clusters becomes asymptotically irrelevant and the mean-field theory provides a correct description. For γ<0 the spatial fluctuations remain relevant and the persistence probability is over-estimated by the random walk theory. The decay of persistence determines the small size tail of the cluster size distribution. For 0<γ<2 the distribution is flat and, surprisingly, independent of γ.


Original languageEnglish
Article number051108
Pages (from-to)1-10
JournalPhysical Review E
Issue number5
Publication statusPublished - Nov 2002
MoE publication typeA1 Journal article-refereed

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