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論文資訊
- 類型：已發表論文
- 日期：2012-03-02
摘要
The BFW model introduced by Bohman, Frieze, and Wormald [Random Struct. Algorithms 25, 432 (2004)], and recently investigated in the framework of discontinuous 滲流 by Chen and D'Souza [Phys. Rev. Lett. 106, 115701 (2011)], is studied on the square and simple-cubic lattices. In two and three dimensions, we find numerical evidence for a strongly discontinuous transition. In two dimensions, the clusters at the threshold are compact with a 碎形 surface of 碎形 dimension d(f) = 1.49 +/- 0.02. On the simple-cubic lattice, distinct jumps in the size of the largest cluster are observed. We proceed to analyze the tree-like version of the model, where only merging bonds are sampled, for dimension two to seven. The transition is again discontinuous in any considered dimension. Finally, the dependence of t
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