MAJORITY-VOTE MODEL ON OPINION-DEPENDENT NETWORK

F. W. S. Lima ()
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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

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 09, 1-9

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.

Keywords: Monte Carlo; majority vote; nonequilibrium; network; 05.10.Ln; 05.70.Fh; 64.60.Fr (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500666

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