%0 Journal Article %1 Suchecki2005 %A Suchecki, Krzysztof %A Eguíluz, Víctor M. %A Miguel, Maxi San %D 2005 %I American Physical Society %J Physical Review E %K coarsening graphs networks nonlinear-dynamics opinion-formation voter-model %N 3 %P 036132 %R 10.1103/PhysRevE.72.036132 %T Voter model dynamics in complex networks: Role of dimensionality, disorder, and degree distribution %V 72 %X 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.

@article{Suchecki2005, 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.}, added-at = {2011-07-15T12:03:57.000+0200}, author = {Suchecki, Krzysztof and Eguíluz, Víctor M. and Miguel, Maxi San}, biburl = {https://www.bibsonomy.org/bibtex/2dd52671d671cfd065683eeed9942a744/rincedd}, doi = {10.1103/PhysRevE.72.036132}, interhash = {f4077512a72d5f3f0e9daebc9f8aa456}, intrahash = {dd52671d671cfd065683eeed9942a744}, journal = {Physical Review E}, keywords = {coarsening graphs networks nonlinear-dynamics opinion-formation voter-model}, number = 3, pages = 036132, publisher = {American Physical Society}, timestamp = {2011-07-15T12:03:57.000+0200}, title = {Voter model dynamics in complex networks: Role of dimensionality, disorder, and degree distribution}, volume = 72, year = 2005 }