Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution

Details Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution Voter model dynamics in complex networks: Role of dimensionality, disorder and degree distribution

2005-04-19

arxiv.org/abs/cond-mat/0504482v1

Physical Review E 71, 036132 (2005)

Physics

Condensed Matter

Statistical Mechanics

(8 pages, 12 figures, for simililar work visit http://www.imedea.uib.es/physdept/)

Scientific paper

10.1103/PhysRevE.72.036132

We analyze the ordering dynamics of the voter model in different classes of complex networks. We observe that whether the voter dynamics orders the system depends on the effective dimensionality of the interaction networks. We also find that when there is no ordering in the system, the average survival time of metastable states in finite networks decreases with network disorder and degree heterogeneity. The existence of hubs in the network modifies the linear system size scaling law of the survival time. The size of an ordered domain is sensitive to the network disorder and the average connectivity, decreasing with both; however it seems not to depend on network size and degree heterogeneity.

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