Cluster survival and polydispersity in aggregation
Laboratory of Physics, Helsinki University of Technology
P.O. Box 1100, FIN-02150 HUT, Finland
Accepted: 17 April 2002
We study the probability, , of a cluster to remain intact in one-dimensional cluster-cluster aggregation when the cluster diffusion coefficient scales with size as . exhibits a stretched exponential decay for and the power laws for , and for . A random walk picture explains the discontinuous and non-monotonic behavior of the exponent. The decay of determines the polydispersity exponent, τ, which describes the size distribution for small clusters. Surprisingly, is a constant for .
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EDP Sciences, 2002