Failures and avalanches in complex networks

被引：41

作者：

Bakke, J. O. H. ^{[1
]}

Hansen, A.

Kertesz, J.

机构：

[1] Norwegian Univ Sci & Technol, Dept Phys, N-7491 Trondheim, Norway

[2] Budapest Univ Techol, Inst Phys, H-1111 Budapest, Hungary

来源：

EUROPHYSICS LETTERS | 2006年 / 76卷 / 04期

关键词：

D O I：

10.1209/epl/i2006-10324-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the size distribution of power blackouts for the Norwegian and North American power grids. We find that for both systems the size distribution follows power laws with exponents -1.65 +/- 0.05 and -2.0 +/- 0.1, respectively. We then present a model with global redistribution of the load when a link in the system fails which reproduces the power law from the Norwegian power grid if the simulation are carried out on the Norwegian high-voltage power grid. The model is also applied to regular and irregular networks and give power laws with exponents -2.0 +/- 0.05 for the regular networks and -1.5 +/- 0.05 for the irregular networks. A presented mean-field theory is in good agreement with these numerical results.

引用

页码：717 / 723

页数：7

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