Fractal to nonfractal phase transition in the dielectric breakdown model

被引：23

作者：

Hastings, MB ^{[1
]}

机构：

[1] Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA

来源：

PHYSICAL REVIEW LETTERS | 2001年 / 87卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.87.175502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A fast method is presented for simulating the dielectric-breakdown model using iterated conformal mappings. Numerical results for the dimension and for corrections to scaling are in good agreement with the recent renormalization group prediction of an upper critical eta (c) = 4, at which a transition occurs between branching fractal clusters and one-dimensional nonfractal clusters.

引用

页码：175502 / 175502

页数：4

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