Diffusion-limited aggregation: A revised mean-field approach

Vladislav A. Bogoyavlenskiy; Natasha A. Chernova

doi:10.1103/physreve.61.5422

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Diffusion-limited aggregation: A revised mean-field approach

Vladislav A. Bogoyavlenskiy·Natasha A. Chernova

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Abstract

We propose a revision of the classic mean-field approach of diffusion-limited aggregation (DLA) model originally introduced by Witten and Sander [Phys. Rev. Lett. 47, 1400 (1981)]. The derived nonlinear mean-field equations providing lattice anisotropy are used to model diffusional growth on square lattice in linear and circular source geometries. The overall cluster shapes obtained from the mean-field calculations are found to satisfy the known scaling behavior experimentally observed for DLA simulations.

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Vladislav A. Bogoyavlenskiy, Natasha A. Chernova. 2000-05-03. Diffusion-limited aggregation: A revised mean-field approach. https://doi.org/10.1103/physreve.61.5422

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