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arxiv: 1306.0340 · v1 · pith:TSYJD5JPnew · submitted 2013-06-03 · ⚛️ physics.soc-ph · cs.SI

Majority-vote model on Opinion-Dependent Networks

classification ⚛️ physics.soc-ph cs.SI
keywords modelmajority-votenetworksbetagammaclasscriticalexponents
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We study a nonequilibrium model with up-down symmetry and a noise parameter $q$ known as majority-vote model of M.J. Oliveira $1992$ on opinion-dependent network or Stauffer-Hohnisch-Pittnauer networks. By Monte Carlo simulations and finite-size scaling relations the critical exponents $\beta/\nu$, $\gamma/\nu$, and $1/\nu$ and points $q_{c}$ and $U^*$ are obtained. After extensive simulations, we obtain $\beta/\nu=0.230(3)$, $\gamma/\nu=0.535(2)$, and $1/\nu=0.475(8)$. The calculated values of the critical noise parameter and Binder cumulant are $q_{c}=0.166(3)$ and $U^*=0.288(3)$. Within the error bars, the exponents obey the relation $2\beta/\nu+\gamma/\nu=1$ and the results presented here demonstrate that the majority-vote model belongs to a different universality class than the equilibrium Ising model on Stauffer-Hohnisch-Pittnauer networks, but to the same class as majority-vote models on some other networks.

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