The translational friction coefficient and time dependent cluster size distribution of three dimensional cluster–cluster aggregationa),b)

Abstract

The diffusion coefficient of clusters D formed by cluster–cluster aggregation is computed according to the Kirkwood–Riseman Theory. In three dimensions one finds D proportional to s^γ where s is the number of particles in the cluster and γ=−0.544±0.014. This relationship is employed to simulate the time evolution of the cluster size distribution N_s(t) which is found to exhibit simple scaling behavior N_s(t) ∼s⁻²g(s/t^z) with z∼1.1.