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Simultaneous analysis of three-dimensional percolation models |
Xiao Xu1, Junfeng Wang1,2, Jian-Ping Lv3( ), Youjin Deng1() |
| 1. Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; 2. School of Electronic Science and Applied Physics, Hefei University of Technology, Hefei 230009, China; 3. Department of Physics, China University of Mining and Technology, Xuzhou 221116, China |
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Abstract We simulate the bond and site percolation models on several three-dimensional lattices, including the diamond, body-centered cubic, and face-centered cubic lattices. As on the simple-cubic lattice [Phys. Rev. E, 2013, 87(5): 052107], it is observed that in comparison with dimensionless ratios based on cluster-size distribution, certain wrapping probabilities exhibit weaker finite-size corrections and are more sensitive to the deviation from percolation threshold pc, and thus provide a powerful means for determining pc. We analyze the numerical data of the wrapping probabilities simultaneously such that universal parameters are shared by the aforementioned models, and thus significantly improved estimates of pc are obtained.
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| Keywords
percolation models
Monto Carlo simulation
simultaneous fit
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Corresponding Author(s):
Lv Jian-Ping,Email:phys.lv@gmail.com; Deng Youjin,Email:yjdeng@ustc.edu.cn
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Issue Date: 01 February 2014
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