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.
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页数：4
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