Laplacian growth and diffusion limited aggregation: Different universality classes

被引：35

作者：

Barra, F ^{[1
]}

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 LETTERS | 2001年 / 87卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.87.134501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It had been conjectured that diffusion limited aggregates and Laplacian growth patterns (with small surface tension) are in the same universality class. Using iterated conformal maps we construct a one-parameter family of fractal growth patterns with a continuously varying fractal dimension. This family can be used to bound the dimension of Laplacian growth patterns from below. The bound value is higher than the dimension of diffusion limited aggregates, showing that the two problems belong to two different universality classes.

引用

页码：1 / 134501

页数：4

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