REAL-SPACE RENORMALIZATION OF DIFFUSION-LIMITED AGGREGATION

被引：21

作者：

BARKER, PW

BALL, RC

机构：

[1] Theory of Condensed Matter, Cavendish Laboratory, Cambridge CB3 0HE, Madingley Road

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 10期

关键词：

D O I：

10.1103/PhysRevA.42.6289

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a quantitative treatment of the interplay between underlying anisotropy and the inherent degree of randomness (noise) in growth processes. Using a renormalization procedure, we show how the noise and anisotropy of diffusion-limited aggregates evolve with cluster size. The fixed point associated with isotropically growing clusters is stable with respect to noise, but at a value 2 orders of magnitude below the bare value in simple diffusion-limited aggregation. This fixed point is unstable with respect to any anisotropy in the growing conditions amplifying itself in the growing cluster, causing flow to (in our case one of two) absolutely stable fixed points associated with strongly anisotropic growth. The location and exponents of the isotropic fixed point explain why clusters of order 104 particles are required to see sensitivity to lattice anisotropy in the Witten-Sander model. © 1990 The American Physical Society.

引用

页码：6289 / 6292

页数：4

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