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Nonequilibrium transitions in complex networks: a model of social interaction

AuthorsKlemm, Konstantin ; Eguíluz, Víctor M. ; Toral, Raúl ; San Miguel, Maxi
Keywords[PACS] Structures and organization in complex systems
[PACS] Lattice theory and statistics (Ising, Potts, etc.)
[PACS] Dynamics of social systems
Issue Date26-Feb-2003
PublisherAmerican Physical Society
CitationPhysical Review E 67(2): 026120 (2003)
AbstractWe analyze the non-equilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks. In a small world network, we find a transition between an ordered homogeneous state and a disordered state. The transition point is shifted by the degree of spatial disorder of the underlying network, the network disorder favoring ordered configurations. In random scale-free networks the transition is only observed for finite size systems, showing system size scaling, while in the thermodynamic limit only ordered configurations are always obtained. Thus in the thermodynamic limit the transition disappears. However, in structured scale-free networks, the phase transition between an ordered and a disordered phase is restored.
Description6 pages, 9 figures.-- PACS nrs.: 89.75.Fb, 05.50.+q, 87.23.Ge.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.67.026120
Appears in Collections:(IFISC) Artículos
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