Universal kinetics in reaction-limited aggregation

Citation:

Ball, R. C. ; Weitz, D. A. ; Witten, T. A. ; Leyvraz, F. Universal kinetics in reaction-limited aggregation. Physical Review Letters 1987, 58, 274-277. Copy at http://www.tinyurl.com/yyc8n5k4
ball1987.pdf341 KB

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 M1Mλ−12 (M1≫M2), and Mλ1 (M1≊M2), with λ=1 in three dimensions, resulting in exponential kinetics and a cluster mass distribution CM∼M−τ, with τ=(3/2), in excellent accord with experiments. The singular nature of this solution forces the adjustment of the cluster fractal dimension, df, thereby determining its value.

Publisher's Version

Last updated on 07/08/2021