DIFFUSION-LIMITED AGGREGATION AS BRANCHED GROWTH

被引：54

作者：

HALSEY, TC ^{[1
]}

机构：

[1] UNIV CHICAGO,DEPT PHYS,CHICAGO,IL 60637

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.72.1228

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

I present a first-principles theory of diffusion-limited aggregation in two dimensions. A renormalized mean-field approximation gives the form of the unstable manifold for branch competition, following the method of Halsey and Leibig [Phys. Rev. A 46, 7793 (1992)]. This leads to a result for the cluster dimensionality, D approximate to 1.66, which is close to numerically obtained values. In addition, the multifractal exponent tau(3) = D in this theory, in agreement with a proposed ''electrostatic'' scaling law.

引用

页码：1228 / 1231

页数：4

共 22 条

[1] SELF-SIMILARITY OF DIFFUSION-LIMITED AGGREGATES AND ELECTRODEPOSITION CLUSTERS [J].