Abstract
Reaction-limited cluster aggregation is modeled with the kinetic rate (Smoluchowski) equations, using a kernel determined intrinsically by the clusters fractal geometry. The kernel scales with cluster mass as (≫), and (≊), with λ=1 in three dimensions, resulting in exponential kinetics and a cluster mass distribution ∼, with τ=(3/2), in excellent accord with experiments. The singular nature of this solution forces the adjustment of the cluster fractal dimension, , thereby determining its value.
- Received 7 July 1986
DOI:https://doi.org/10.1103/PhysRevLett.58.274
©1987 American Physical Society