The discrete evolution model of Bak and Sneppen is conjugate to the classical contact process

被引：5

作者：

Bandt, C ^{[1
]}

机构：

[1] Univ Greifswald, Inst Math, D-17487 Greifswald, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2005年 / 120卷 / 3-4期

关键词：

contact process; cellular automata; thinning; self-organized criticality; evolution model;

D O I：

10.1007/s10955-005-5965-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two fundamental models of critical phenomena are connected. We show that the discrete Bak-Sneppen evolution model is conjugate to the classical contact process. This holds in discrete and continuous time, on all graphs and for random as well as for deterministic choice of neighbors. Thus the extensive theory for the contact process applies to the discrete Bak-Sneppen model, too.

引用

页码：685 / 693

页数：9

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