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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, extbf{87} 052107 (2013)],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 sensitiveto the deviation from percolation threshold $p_c$, and thus provide a powerful means for determining $p_c$.We analyze the numerical data of the wrapping probabilitiessimultaneously such that universal parameters are shared by the aforementioned models, andthus significantly improved estimates of $p_c$ are obtained. |
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Keywords:percolation threshold, critical exponents, simultaneous fits, finite-size scaling |
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