Mean-field and anomalous behavior on a small-world network

被引：45

作者：

Hastings, MB ^{[1
]}

机构：

[1] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

来源：

PHYSICAL REVIEW LETTERS | 2003年 / 91卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.91.098701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider various equilibrium statistical mechanics models with combined short- and long-range interactions and identify the crossover to mean-field behavior, finding anomalous scaling in the width of the mean-field region, as well as in the mean-field amplitudes. We then show that this model enables us, in many cases, to determine the universal critical properties of systems on a small-world network. Finally, we consider nonequilibrium processes.

引用

页数：4

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