Lima F W S, Moreira André A, Araújo Ascânio D
Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina - PI, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 2):056109. doi: 10.1103/PhysRevE.86.056109. Epub 2012 Nov 19.
We investigate the majority-vote model with two states (-1,+1) and a noise parameter q on Apollonian networks. The main result found here is the presence of the phase transition as a function of the noise parameter q. Previous results on the Ising model in Apollonian networks have reported no presence of a phase transition. We also studied the effect of redirecting a fraction p of the links of the network. By means of Monte Carlo simulations, we obtained the exponent ratio γ/ν, β/ν, and 1/ν for several values of rewiring probability p. The critical noise q{c} and U were also calculated. Therefore, the results presented here demonstrate that the majority-vote model belongs to a different universality class than equilibrium Ising model on Apollonian network.
我们研究了具有两种状态（-1，+1）和噪声参数q的阿波洛尼厄斯网络上的多数投票模型。此处发现的主要结果是作为噪声参数q的函数存在相变。先前关于阿波洛尼厄斯网络中伊辛模型的结果表明不存在相变。我们还研究了重新连接网络中比例为p的链路的影响。通过蒙特卡罗模拟，我们获得了重新布线概率p的几个值下的指数比γ/ν、β/ν和1/ν。还计算了临界噪声q{c}和U。因此，此处给出的结果表明多数投票模型属于与阿波洛尼厄斯网络上的平衡伊辛模型不同的普适类。
