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-dependentnetwork or Stauffer-Hohnisch-Pittnauer networks. By Monte Carlo simulations andfinite-size scaling relations the critical exponents $\beta/\nu$, $\gamma/\nu$,and $1/\nu$ and points $q_{c}$ and $U^*$ are obtained. After extensivesimulations, 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 andBinder 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 resultspresented here demonstrate that the majority-vote model belongs to a differentuniversality class than the equilibrium Ising model onStauffer-Hohnisch-Pittnauer networks, but to the same class as majority-votemodels on some other networks.
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机译:我们研究了具有上下对称性和噪声参数的非平衡模型,该模型被称为M.J. Oliveira $ 1992 $的多数投票模型,依赖于意见依赖网络或Stauffer-Hohnisch-Pittnauer网络。通过蒙特卡洛模拟和有限尺寸比例关系,获得了临界指数$ \ beta / \ nu $,$ \ gamma / \ nu $和$ 1 / \ nu $以及点$ q_ {c} $和$ U ^ * $ 。经过广泛的模拟,我们获得$ \ beta / \ nu = 0.230(3)$,$ \ gamma / \ nu = 0.535(2)$和$ 1 / \ nu = 0.475(8)$。临界噪声参数和Binder累积量的计算值为$ q_ {c} = 0.166(3)$和$ U ^ * = 0.288(3)$。在误差条内,指数服从关系$ 2 \ beta / \ nu + \ gamma / \ nu = 1 $,此处给出的结果表明,多数投票模型属于不同于Stauffer-Hohnisch-Pittnauer平衡Ising模型的大学类。网络,但与其他一些网络上的多数投票模型属于同一类。
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