Diffusion-limited aggregation: A revised mean-field approach

被引：9

作者：

Bogoyavlenskiy, VA ^{[1
]}

Chernova, NA ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Low Temp Phys Dept, Moscow 119899, Russia

来源：

PHYSICAL REVIEW E | 2000年 / 61卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.61.5422

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页码：5422 / 5428

页数：7

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