Non-existence of phase transition of oriented percolation on Sierpinski carpet lattices
Non-existence of phase transition of oriented percolation on Sierpinski carpet lattices
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DOI：
10.1007/s00440-002-0247-x
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发表时间：
2003-03
影响因子：
2
通讯作者：
Masato Shinoda
中科院分区：
文献类型：
--
作者：
Masato Shinoda
考虑了Sierpinski地毯格上的一个渗流问题。得到了定向渗流的临界概率等于1。相反，在Kumagai[9]中已经证明了渗流的临界概率严格小于1。这一结果显示了类分形格和ℤ点阵的不同。
A percolation problem on Sierpinski carpet lattices is considered. It is obtained that the critical probability of oriented percolation is equal to 1. In contrast it was already shown that the critical probabilitypcof percolation is strictly less than 1 in Kumagai [9]. This result shows a difference between fractal-like lattice and ℤdlattice.