Left-sided multifractality of the harmonic measure on 2-D cluster-cluster aggregates

被引：7

作者：

Hanan, WG

Heffernan, DM ^{[1
]}

Earnshaw, JC

机构：

[1] Natl Univ Ireland Maynooth, Dept Math Phys, Maynooth, Kildare, Ireland

[2] Queens Univ Belfast, Dept Pure & Appl Phys, Belfast BT7 1NN, Antrim, North Ireland

来源：

CHAOS SOLITONS & FRACTALS | 1998年 / 9卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/S0960-0779(97)00182-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterise the morphology of clusters formed in 2-D cluster-cluster aggregation experiments by examining the scaling of the harmonic measure on their perimeter. The calculated f(alpha) spectra display behaviour typical of left-sided multifractality. The standard interpretation of multifractal, due to Frisch & Parisi and Halsey et al., is thus inadequate to characterise the scaling of the measure on the aggregates and one has to resort to the original and broader interpretation of Mandelbrot. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：875 / 880

页数：6

共 20 条

[1] BREAKDOWN OF MULTIFRACTAL BEHAVIOR IN DIFFUSION-LIMITED AGGREGATES [J].