Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and bcc lattices

@article{Lorenz1997PreciseDO,
  title={Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and bcc lattices},
  author={Christian D. Lorenz and Robert M Westervelt School of Engineering and University of Michigan and Ann Arbor and Mi},
  journal={Physical Review E},
  year={1997},
  volume={57},
  pages={230-236}
}
Extensive Monte-Carlo simulations were performed to study bond percolation on the simple cubic (s.c.), face-centered cubic (f.c.c.), and body-centered cubic (b.c.c.) lattices, using an epidemic kind of approach. These simulations provide very precise values of the critical thresholds for each of the lattices: pc(s.c.) = 0.2488126 ± 0.0000005, pc(f.c.c.) = 0.1201635 ± 0.0000010, and pc(b.c.c.) = 0.1802875 ± 0.0000010. For p close to pc, the results follow the expected finite-size and scaling… 

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