Diffusion-limited aggregation: A revised mean-field approach

Details Diffusion-limited aggregation: A revised mean-field approach Diffusion-limited aggregation: A revised mean-field approach

2000-05-03

arxiv.org/abs/nlin/0005007v1

Phys. Rev. E 61, 5422 (2000)

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, 8 figures

Scientific paper

10.1103/PhysRevE.61.5422

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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