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Ordering properties of the voter model on scale-free networks

The 2-state voter model may be used to introduce the Monte Carlo simulations of physical systems. In this work, we performed Monte Carlo simulations of the 2-state voter model on scale-free networks. We found that in finite size networks, the system converges to an ordered state. Nevertheless, in the thermodynamic limit the systems do not exhibit completely ordered states, being settled in a transient state with coexisting opinions. Our results agree with the simulations of the voter model on Small World Networks presented by Vespignani et al.

spins systems; complex networks


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