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arXiv · 0708.0776

Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states

F. Vazquez·J. C. Gonzalez-Avella·V. M. Eguiluz·M. San Miguel
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Abstract

We study the co-evolution 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.

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F. Vazquez, J. C. Gonzalez-Avella, V. M. Eguiluz, M. San Miguel. 2007-10-16. Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states. https://doi.org/10.1103/physreve.76.046120

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