Diffusion-limited aggregation: A revised mean-field approach
Pattern Formation and Solitons
2009-10-31 v1 Statistical Mechanics
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.
Cite
@article{arxiv.nlin/0005007,
title = {Diffusion-limited aggregation: A revised mean-field approach},
author = {Vladislav A. Bogoyavlenskiy and Natasha A. Chernova},
journal= {arXiv preprint arXiv:nlin/0005007},
year = {2009}
}
Comments
7 pages, 8 figures