Similarity of Percolation Thresholds on the HCP and FCC Lattices

  title={Similarity of Percolation Thresholds on the HCP and FCC Lattices},
  author={Christian D. Lorenz and Raechelle May and Robert M. Ziff},
  journal={Journal of Statistical Physics},
Extensive Monte Carlo simulations were performed in order to determine the precise values of the critical thresholds for site (phcpc, S=0.199 255 5±0.000 001 0) and bond (phcpc, B=0.120 164 0±0.000 001 0) percolation on the hcp lattice to compare with previous precise measurements on the fcc lattice. Also, exact enumeration of the hcp and fcc lattices was performed and yielded generating functions and series for the zeroth, first, and second moments of both lattices. When these series and the… 

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