Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon

TLDR

The model applies to metal‑particle aggregation processes with previously measured correlations and represents a limiting case of dendritic‑growth models. The authors simulate a random‑aggregate model using computer simulations. The model exhibits fractional‑power‑law decay of density correlations with distance, mirroring metal aggregates, and its radius of gyration follows a power‑law scaling.

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.