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Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon

A model for random aggregates is studied by computer simulation. The model is applicable to a metal-particle aggregation process whose correlations have been measured previously. Density co…

Thomas A. Witten, Leonard M. Sander
https://resea.org/10.1103/physrevlett.47.1400

Abstract

A model for random aggregates is studied by computer simulation. The model is applicable to a metal-particle aggregation process whose correlations have been measured previously. Density correlations within the model aggregates fall off with distance with a fractional power law, like those of the metal aggregates. The radius of gyration of the model aggregates has power-law behavior. The model is a limit of a model of dendritic growth.