Physics – Condensed Matter
Scientific paper
2002-10-24
Phys. Rev. E 67, 026120 (2003)
Physics
Condensed Matter
7 pages revtex4, 10 figures, related material at http://www.imedea.uib.es/PhysDept/Nonlinear/research_topics/Social/
Scientific paper
10.1103/PhysRevE.67.026120
We 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.
Eguiluz Victor M.
Klemm Konstantin
Miguel Maxi San
Toral Raul
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