Site and bond percolation thresholds on regular lattices with compact extended-range neighborhoods in two and three dimensions.

  title={Site and bond percolation thresholds on regular lattices with compact extended-range neighborhoods in two and three dimensions.},
  author={Zhipeng Xun and Dapeng Hao and Robert M. Ziff},
  journal={Physical review. E},
  volume={105 2-1},
Extended-range percolation on various regular lattices, including all 11 Archimedean lattices in two dimensions and the simple cubic (sc), body-centered cubic (bcc), and face-centered cubic (fcc) lattices in three dimensions, is investigated. In two dimensions, correlations between coordination number z and site thresholds p_{c} for Archimedean lattices up to 10th nearest neighbors (NN) are seen by plotting z versus 1/p_{c} and z versus -1/ln(1-p_{c}) using the data of d'Iribarne et al. [J… 

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