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
收藏
页码：5746 / 5749
页数：4
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