title: Voter model dynamics in complex networks: Role of dimensionality, disorder, and degree distribution.
abstract: 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, i.e., highly connected nodes, 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 degree, decreasing with both; however, it seems not to depend on network size and on the heterogeneity of the degree distribution.
authors.affiliation: Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), E07122 Palma de Mallorca, Spain.
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Suchecki
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Eguíluz
authors.forename: Maxi
authors.initials: M
authors.lastname: San Miguel