Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation - art. no. 051108

摘要

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)similar tos(gamma). In the mean field the problem maps to the survival of three annihilating random walkers with time-dependent noise correlations. For gammagreater than or equal to0 the motion of persistent clusters becomes asymptotically irrelevant and the mean-field theory provides a correct description. For gamma<0 the spatial fluctuations remain relevant and the persistence probability is overestimated by the random walk theory. The decay of persistence determines the small size tail of the cluster size distribution. For 0