多数投票模型中的小世界效应。
Small-world effects in the majority-vote model.
作者信息
Campos Paulo R A, de Oliveira Viviane M, Moreira F G Brady
机构信息
Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Feb;67(2 Pt 2):026104. doi: 10.1103/PhysRevE.67.026104. Epub 2003 Feb 5.
We investigate the majority-vote model on small-world networks by rewiring the two-dimensional square lattice. We observe that the introduction of long-range interactions does not remove the critical character of the model, that is, the system still exhibits a well-defined phase transition. However, we find that now the critical point is a monotonically increasing function of the rewiring probability. Moreover, we find that small-world effects change the class of universality of the model.
我们通过对二维方格晶格进行重新布线来研究小世界网络上的多数投票模型。我们观察到，长程相互作用的引入并没有消除模型的临界特性，也就是说，系统仍然表现出明确的相变。然而，我们发现现在临界点是重新布线概率的单调递增函数。此外，我们发现小世界效应改变了模型的普适类。
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