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Consensus formation on Apollonian networks

Alves, G.A. ; Alves, T.F.A. ; Lima, F.W.S. ; Macedo-Filho, A.

Physica A, 2021-01, Vol.561, p.125267, Article 125267 [Periódico revisado por pares]

Elsevier B.V

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  • Título:
    Consensus formation on Apollonian networks
  • Autor: Alves, G.A. ; Alves, T.F.A. ; Lima, F.W.S. ; Macedo-Filho, A.
  • Assuntos: Apollonian network ; Biswas–Chatterjee–Sen model ; Consensus formation ; Kinetic continuous opinion dynamics ; Non-equilibrium phase transitions ; Scale-free networks
  • É parte de: Physica A, 2021-01, Vol.561, p.125267, Article 125267
  • Descrição: We study by means of computational simulation and the finite-size scaling method, the critical behavior of the Biswas–Chatterjee–Sen continuous opinion dynamics on Apollonian networks. The main interest in this system comes from the fact that the Apollonian network is scale-free and has some characteristics that make it an approach to describe real processes. In addition, there is the fact that not all dynamics combined with Apollonian networks have a phase transition and a finite critical threshold. We show that the system presents a continuous phase transition driven by a random noise simulating the local oppositions. Through, it was possible to determine the critical exponent ratios 1∕ν=0.47(1),β∕ν=0.225(5), and γ∕ν=0.55(1) with deviating exponents from the Mean-Field regime on the random network. •We consider a continuous kinetic consensus formation model, inspired on wealth exchange models.•The model presents a finite threshold induced by noise on Apollonian networks.•Our numerical results suggest that the model does not follow the Mean-Field Ising criticality.
  • Editor: Elsevier B.V
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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