Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states
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.
Keywords
Cite
@article{arxiv.0708.0776,
title = {Time scale competition leading to fragmentation and recombination transitions in the coevolution of network and states},
author = {F. Vazquez and J. C. Gonzalez-Avella and V. M. Eguiluz and M. San Miguel},
journal= {arXiv preprint arXiv:0708.0776},
year = {2011}
}
Comments
5 pages, 5 figures, figures 2 and 4 changed, tile changed, to be published in PRE