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Majority-Vote Model On Opinion-Dependent Network

Author

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  • F. W. S. LIMA

    (Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, Teresina, Piauí, 64049-550, Brazil)

Abstract

We study a nonequilibrium model with up–down symmetry and a noise parameterqknown as majority-vote model (MVM) of Oliveira 1992 on opinion-dependent network or Stauffer–Hohnisch–Pittnauer (SHP) networks. By Monte Carlo (MC) simulations and finite-size scaling relations the critical exponentsβ∕ν,γ∕νand1∕νand pointsqcandU*are obtained. After extensive simulations, we obtainβ∕ν = 0.230(3),γ∕ν = 0.535(2)and1∕ν = 0.475(8). The calculated values of the critical noise parameter and Binder cumulant areqc= 0.166(3)andU* = 0.288(3). Within the error bars, the exponents obey the relation2β∕ν + γ∕ν = 1and the results presented here demonstrate that the MVM belongs to a different universality class than the equilibrium Ising model on SHP networks, but to the same class as majority-vote models on some other networks.

Suggested Citation

  • F. W. S. Lima, 2013. "Majority-Vote Model On Opinion-Dependent Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(09), pages 1-9.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:09:n:s0129183113500666
    DOI: 10.1142/S0129183113500666
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