二维选举人模型中的逾渗和粗化
Percolation and coarsening in the bidimensional voter model
摘要：
我们研究了二维正方形格子上的选举模型的数值模拟。我们表明，演变发生在两个不同的动态制度;第一种方法对关键站点渗流和进一步的方法对充分的共识。我们计算了两个增长长度的时间依赖性，发现它们都是代数的，但具有不同的指数（除了可能的对数校正）。我们分析了具有相同意见的选民群的形态和统计数据。我们比较这些结果的曲率驱动的二维粗化。
英文摘要：
We study the bidimensional voter model on a square lattice with numerical simulations. We demonstrate that the evolution takes place in two distinct dynamic regimes; a first approach towards critical site percolation and a further approach towards full consensus. We calculate the time-dependence of the two growing lengths finding that they are both algebraic though with different exponents (apart from possible logarithmic corrections). We analyse the morphology and statistics of clusters of voters with the same opinion. We compare these results to the ones for curvature driven two-dimensional coarsening.
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