Phase transition and universality of the majority-rule model on complex networks

Abstract

We investigate the phenomena of order-disorder phase transition and the universality of the majority-rule model defined on three complex networks, namely the Barabasi-Albert, Watts-Strogatz, and Erdos-Renyi networks. Assume each agent holds two possible opinions distributed randomly across the networks' nodes. Agents adopt anticonformity and independence behaviors, represented by the probability (p), where with a probability (p), agents adopt anticonformity or independence behavior. Based on our numerical simulation results and finite-size scaling analysis, it is found that the model undergoes a continuous phase transition for all networks, with critical points for the independence model greater than those for the anticonformity model in all three networks. We obtain critical exponents identical to the opinion dynamics model defined on a complete graph, indicating that the model exhibits the same universality class as the mean-field Ising model.

arXiv comment7 pages, 6 figures

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Cited by in corpus (3)

• Independence role in the generalized Sznajd model
• Nonlinear $q$-voter model involving nonconformity on networks
• The impact of social noise on the majority rule model across various network topologies