Dynamic rewiring in small world networks

被引：9
|
作者：
Hatchett, JPL
Skantzos, NS
Nikoletopoulos, T
机构：
[1] Katholieke Univ Leuven, Inst Theoret Fys, B-3001 Louvain, Belgium
[2] Kings Coll London, Dept Math, London WC2R 2LS, England
来源：
PHYSICAL REVIEW E | 2005年 / 72卷 / 06期
关键词：
D O I：
10.1103/PhysRevE.72.066105
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We investigate equilibrium properties of small world networks, in which both connectivity and spin variables are dynamic, using replicated transfer matrices within the replica symmetric approximation. Population dynamics techniques allow us to examine the order parameters of our system at total equilibrium, probing both spin and graph statistics. Of these, interestingly, the degree distribution is found to acquire a Poisson-like form (both within and outside the ordered phase). Comparison with Glauber simulations confirms our results satisfactorily.
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页数：11
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