CONTINUUM DESCRIPTION OF NOISELESS DIFFUSION-LIMITED AGGREGATION

被引：8

作者：

KASSNER, K ^{[1
]}

BRENER, E ^{[1
]}

机构：

[1] CHERNOGOLOVKA SOLID STATE PHYS INST, CHERNOGOLOVKA, RUSSIA

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.50.2161

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 develop a continuum theory for the compact-growth phase of noise-reduced diffusion-limited aggregation (DLA). Its essential feature is a dynamic argument determining the selected growth velocity of the cluster arm tips. With one additional assumption, a parameter-free description is obtained. This description agrees well with the overall shape of numerically simulated clusters, containing up to several tens of thousands of particles. It also provides decent predictions for the step sequences on the cluster arms and for the numerical value of the tip growth probability. Finally, this theory demonstrates that noise-reduced DLA and viscous fingering, having different growth exponents, belong in two different universality classes.

引用

页码：2161 / 2165

页数：5

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