English

Majority-vote model on Opinion-Dependent Networks

Physics and Society 2015-06-16 v1 Social and Information Networks

Abstract

We study a nonequilibrium model with up-down symmetry and a noise parameter qq known as majority-vote model of M.J. Oliveira 19921992 on opinion-dependent network or Stauffer-Hohnisch-Pittnauer networks. By Monte Carlo simulations and finite-size scaling relations the critical exponents β/ν\beta/\nu, γ/ν\gamma/\nu, and 1/ν1/\nu and points qcq_{c} and UU^* are obtained. After extensive simulations, we obtain β/ν=0.230(3)\beta/\nu=0.230(3), γ/ν=0.535(2)\gamma/\nu=0.535(2), and 1/ν=0.475(8)1/\nu=0.475(8). The calculated values of the critical noise parameter and Binder cumulant are qc=0.166(3)q_{c}=0.166(3) and U=0.288(3)U^*=0.288(3). Within the error bars, the exponents obey the relation 2β/ν+γ/ν=12\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.

Keywords

Cite

@article{arxiv.1306.0340,
  title  = {Majority-vote model on Opinion-Dependent Networks},
  author = {F. W. S. Lima},
  journal= {arXiv preprint arXiv:1306.0340},
  year   = {2015}
}

Comments

9 figures, accepted for publication in IJMPC

R2 v1 2026-06-22T00:26:52.122Z