Convergent calculation of the asymptotic dimension of diffusion limited aggregates: Scaling and renormalization of small clusters

被引：34

作者：

Davidovitch, B ^{[1
]}

Levermann, A ^{[1
]}

Procaccia, I ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Chem Phys, IL-76100 Rehovot, Israel

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.62.R5919

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：

Diffusion limited aggregation (DLA) is a model of fractal growth that had attained a paradigmatic status due to its simplicity and its underlying role for a variety of pattern forming processes. We present a convergent calculation of the fractal dimension D of DLA based on a renormalization scheme for the first Laurent coefficient of the conformal map from the unit circle to the expanding boundary of the fractal cluster. The theory is applicable from very small (2-3 particles) to asymptotically large (n-->infinity) clusters. The computed dimension is D = 1.713 +/- 0.003.

引用

页码：R5919 / R5922

页数：4

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