WAVELET ANALYSIS OF THE SELF-SIMILARITY OF DIFFUSION-LIMITED AGGREGATES AND ELECTRODEPOSITION CLUSTERS

被引：76

作者：

ARGOUL, F ^{[1
]}

ARNEODO, A ^{[1
]}

ELEZGARAY, J ^{[1
]}

GRASSEAU, G ^{[1
]}

机构：

[1] CATHOLIC UNIV LOUVAIN, INST PHYS THEOR, B-1348 LOUVAIN LA NEUVE, BELGIUM

来源：

PHYSICAL REVIEW A | 1990年 / 41卷 / 10期

关键词：

D O I：

10.1103/PhysRevA.41.5537

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present the wavelet transform as a natural tool for characterizing the geometrical complexity of numerical and experimental two-dimensional fractal aggregates. We illustrate the efficiency of this mathematical microscope to reveal the construction rule of self-similar snowflake fractals and to capture the local scaling properties of multifractal aggregates through the determination of local pointwise dimensions (x). We apply the wavelet transform to small-mass (M25×104 particles) Witten and Sander diffusion-limited aggregates that are found to be globally self-similar with a unique scaling exponent (x)=1.600.02. We reproduce this analysis for experimental two-dimensional copper electrodeposition clusters; in the limit of small ionic concentration and small current, these clusters are globally self-similar with a unique scaling exponent (x)=1.630.03. These results strongly suggest that in this limit the electrodeposition growth mechanism is governed by the two-dimensional diffusion-limited aggregation process. © 1990 The American Physical Society.

引用

页码：5537 / 5560

页数：24

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