Majority-vote model on opinion-dependent network

摘要

We study a nonequilibrium model with up-down symmetry and a noise parameter q known 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 exponents βν, γν and 1ν and points q_c and U~* are obtained. After extensive simulations, we obtain βν = 0.230(3), γν = 0.535(2) and 1ν = 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 2βν + γν = 1 and 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.