HIERARCHICAL MODEL FOR THE MULTIFRACTALITY OF DIFFUSION-LIMITED AGGREGATION

被引：15

作者：

LEE, J

HAVLIN, S

STANLEY, HE

KIEFER, JE

机构：

[1] BOSTON UNIV, DEPT PHYS, BOSTON, MA 02215 USA

[2] NIH, DCRT, PHYS SCI LAB, BETHESDA, MD 20892 USA

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 08期

关键词：

D O I：

10.1103/PhysRevA.42.4832

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We propose a deterministic model of diffusion-limited aggregation (DLA), based on the concept of an infinite hierarchy of voids connected by narrow channels. This hierarchical model reproduces many features of DLA: (1) The growth-site probability distribution shows multifractal behavior, (2) the minimum growth probability decreases with size L as lnpmin(L)-(lnL)2, and (3) the maximum growth probability scales as pmax(L)Lmin-. © 1990 The American Physical Society.

引用

页码：4832 / 4837

页数：6

共 31 条

[1] GROWTH PROBABILITY-DISTRIBUTION IN KINETIC AGGREGATION PROCESSES [J].