Dynamic tip front dimension in diffusion-limited aggregation

被引：1

作者：

Ohta, S ^{[1
]}

Inoue, M ^{[1
]}

机构：

[1] Kyushu Univ, Dept Earth Syst Sci & Technol, Kasuga, Fukuoka 8168580, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2005年 / 74卷 / 03期

关键词：

diffusion-limited aggregation; fractal; pattern formation;

D O I：

10.1143/JPSJ.74.951

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new fractal dimension of diffusion-limited aggregation (DLA) is studied by tip front angle near hottest branch projecting bare field, which is obtained from envelope line considering near pentagonal symmetry of DLA. The angle changes largely along cluster growth, and the mean shows 106.2 degrees for 105 N = 3 x 10(6) clusters. From application of wedge model, tip front dimension is obtained as D-t = 1.709. Asymptotic fractal dimension D-t = 1.710 can be estimated consistently with usual box and gyration dimensions from 25 N = 2 x 10(8) clusters.

引用

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页码：951 / 954

页数：4

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