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Time scale competition leading to fragmentation and recombination transitions in the co-evolution of network and states.

AuthorsVázquez, Federico ; González-Avella, Juan Carlos ; Eguíluz, Víctor M. ; San Miguel, Maxi
KeywordsComplex networks
Order-disorder transformations
Self-organized systems
Issue Date2-Sep-2007
PublisherAmerican Physical Society
CitationPhysical Review E 76, 046120 (1-5) (2007)
AbstractWe study the coevolution of network structure and node states in a model of multiple state interacting agents. The system displays two transitions, network recombination and fragmentation, governed by time scales that emerge from the dynamics. The recombination transition separates a frozen configuration, composed by disconnected network components whose agents share the same state, from an active configuration, with a fraction of links that are continuously being rewired. The nature of this transition is explained analytically as the maximum of a characteristic time. The fragmentation transition, that appears between two absorbing frozen phases, is an anomalous order-disorder transition, governed by a crossover between the time scales that control the structure and state dynamics.
Description5 pages.-- PACS numbers: 89.75.Fb, 05.65.+b, 64.60.Cn.-- Final full-text version of the paper available at: http://dx.doi.org/10.1103/PhysRevE.76.046120.
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