Explosive Percolation via Control of the Largest Cluster
Explosive Percolation via Control of the Largest Cluster
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DOI：
10.1103/physrevlett.105.035701
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发表时间：
2010-07-14
影响因子：
8.6
通讯作者：
Herrmann, H. J.
中科院分区：
文献类型：
--
作者：
Araujo, N. A. M.;Herrmann, H. J.
我们证明，仅考虑最大的簇就足以获得一阶渗流转换。与之前实现的爆炸性渗透相反，我们的模型获得了高斯簇分布和紧凑簇，正如人们在一阶跃迁中所期望的那样。我们还发现簇周长在过渡点处是分形的，分形维数为 1.23 +/- 0.03，接近分水岭的分形维数。
We show that considering only the largest cluster suffices to obtain a first-order percolation transition. As opposed to previous realizations of explosive percolation, our models obtain Gaussian cluster distributions and compact clusters as one would expect at first-order transitions. We also discover that the cluster perimeters are fractal at the transition point, yielding a fractal dimension of 1.23 +/- 0.03, close to that of watersheds.