On the validity of Smoluchowski’s equation for cluster–cluster aggregation kinetics
- 1 June 1985
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 82 (11), 5269-5274
- https://doi.org/10.1063/1.448600
Abstract
Large‐scale computer simulations of cluster–cluster aggregation of particles undergoing Brownian motion have been performed to investigate the kinetic properties of the coagulation process. It is shown that the mean‐field approach of the Smoluchowski equation accurately describes the kinetics if the fractal geometry of the clusters is taken into account. The kinetic rate kernels that enter into that equation are deduced explicitly from the simulationsKeywords
This publication has 20 references indexed in Scilit:
- Dynamic cluster-size distribution in cluster-cluster aggregation: Effects of cluster diffusivityPhysical Review B, 1985
- Unified Description of Static and Dynamic Scaling for Kinetic Cluster FormationPhysical Review Letters, 1984
- Size distribution of clusters in irreversible kinetic aggregationJournal of Physics A: General Physics, 1984
- Hierarchical model for chemically limited cluster-cluster aggregationJournal of Physics A: General Physics, 1984
- Large-time behavior of the Smoluchowski equations of coagulationPhysical Review A, 1984
- Asymptotic Solution of Interacting Walks in One DimensionPhysical Review Letters, 1983
- Kinetics of gelation and universalityJournal of Physics A: General Physics, 1983
- Experimental measurements of the temporal evolution of cluster size distributions for high-functionality antigens cross-linked by antibodyMacromolecules, 1983
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943