title: Nonequilibrium transitions in complex networks: a model of social interaction.
abstract: We analyze the nonequilibrium 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.
authors.affiliation: Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), E07122 Palma de Mallorca, Spain. klemm@nbi.dk
authors.forename: Konstantin
authors.initials: K
authors.lastname: Klemm
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Eguíluz
authors.forename: Raúl
authors.initials: R
authors.lastname: Toral
authors.forename: Maxi
authors.initials: M
authors.lastname: San Miguel