Critical Percolation Probabilities for the Next-Nearest-Neighbouring Site Problems on Sierpinski Carpets |
| |
Authors: | Hong-Bing NIE Bo-Ming YU |
| |
Institution: | Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China |
| |
Abstract: | In this paper, we compute the next-nearest-neighbouring site percolation (Connections exist not only between nearest-neighbouring sites, but also between next-nearest-neigh bouring sites.) probabilities PC on the two-dimensional Sierpinski carpets, using the translationaldilation method and Monte Carlo technique. We obtain a relation among PC, fractal dimensionality D and connectivity Q. For the family of carpets with central cutouts,(1 - Pc)/(1 - Pcs) = (D - 1)1.60, where Pcs = 0.41, the critical percolation probability for the next-nearest-neighbouring site problem on square lattice. As D reaches 2, Pc = Pcs = 0.41, which is in agreement with the critical percolation probability on 2-d square lattices with . next-nearest-neigh bouring interactions. |
| |
Keywords: | |
|
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|