Journal of Statistical Mechanics: Theory and Experiment
Volume 2008
January 2008
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Richard A Neher et al J. Stat. Mech. (2008) P01011 doi:10.1088/1742-5468/2008/01/P01011
Topological estimation of percolation thresholds
Richard A Neher1,3, Klaus Mecke2 and Herbert Wagner1
Show affiliationsTable 1. The deviation of the estimate  from pc(Λ) decreases rapidly when s0 is increased from zero to two. |
| s0 | 63 | 4, 82 | 4, 6, 12 | 3, 122 |  |
| 0 | –0.010 27 | –0.022 58 | –0.031 84 | –0.045 43 | –0.050 85 |
| 1 | –0.005 53 | –0.009 01 | –0.015 30 | –0.012 40 | –0.020 93 |
| 2 | –0.005 51 | –0.002 83 | –0.007 01 | –0.006 15 | –0.009 37 |
| Table 2. Numerical values for p0 and pc of the cubic lattices for black and white connectivities. The bcc lattice has equal black and white connectivities. |
| Lattice | z | p0 | pc |
| sc (black) | 6 | 0.3940 | 0.3116a |
| fcc (black) | 12 | 0.2370 | 0.1992a |
| bcc | 14 | 0.2113 | 0.175b |
| fcc (white) | 18 | 0.1616 | 0.136b |
| sc (white) | 26 | 0.1139 | 0.097b |
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Topological estimation of percolation thresholds
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