THE NOISY VOTER MODEL
THE NOISY VOTER MODEL
复制标题
DOI：
10.1016/0304-4149(94)00035-r
复制
发表时间：
1995-01-01
影响因子：
1.4
通讯作者：
MADRAS, N
中科院分区：
文献类型：
--
作者：
GRANOVSKY, BL;MADRAS, N
噪声投票者模型是图上的旋转系统，其可以通过在每个站点添加从0到1和从1到0的自发翻转来从基本投票者模型获得。利用对偶性，我们得到了这个过程的一些重要的含时泛函和平衡泛函的精确公式。通过使自发翻转速率趋于零，我们得到了基本的投票者模型，并计算了与这种“相变”相关的准确的临界指数。最后，我们使用噪声投票者模型来呈现由Cox和Griffeath关于在二维基本投票者模型中进行聚类的结果的另一种观点。
The noisy voter model is a spin system on a graph which may be obtained from the basic voter model by adding spontaneous flipping from 0 to 1 and from 1 to 0 at each site. Using duality, we obtain exact formulas for some important time-dependent and equilibrium functionals of this process. By letting the spontaneous flip rates tend to zero, we get the basic voter model, and we calculate the exact critical exponents associated with this ''phase transition''. Finally, we use the noisy voter model to present an alternate view of a result due to Cox and Griffeath on clustering in the two-dimensional basic voter model.