Renormalization theory of stochastic growth

被引：28

作者：

Hastings, MB

机构：

[1] Department of Physics, Massachussetts Institute of Technology 12-134d

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 01期

关键词：

DIFFUSION-LIMITED AGGREGATION; ELECTRODEPOSITION CLUSTERS; SELF-SIMILARITY;

D O I：

10.1103/PhysRevE.55.135

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：

An analytical renormalization-group treatment is presented of a model that, for one value of parameters, is equivalent to diffusion-limited aggregation (DLA). The fractal dimension of DLA is computed to be 2-1/2+1/5=1.7. Higher multifractal exponents are also calculated and found to be in agreement with numerical results. It may be possible to use this technique to describe the dielectric breakdown model as well, which is given by different parameter values.

引用

页码：135 / 152

页数：18

共 21 条

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