High-dimensional Bak-Sneppen model

被引：20

作者：

De Los Rios, P ^{[1
]}

Marsili, M

Vendruscolo, M

机构：

[1] Univ Fribourg, Inst Phys Theor, CH-1700 Fribourg, Switzerland

[2] Sch Adv Int Studies, I-34100 Trieste, Italy

[3] INFM, I-34100 Trieste, Italy

[4] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.80.5746

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report on extensive numerical simulations on the Bak-Sneppen model in high dimensions. We uncover a very rich behavior as a function of dimensionality. For d > 2 the avalanche cluster becomes fractal and for d greater than or equal to 4 the process becomes transient. Finally, the exponents reach their mean field values for d = d(c) = 8, which is then the upper critical dimension of the Bak-Sneppen model.

引用

页码：5746 / 5749

页数：4

共 15 条

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