Percolation thresholds, critical exponents, and scaling functions on planar random lattices and their duals.

@article{Hsu1999PercolationTC,
  title={Percolation thresholds, critical exponents, and scaling functions on planar random lattices and their duals.},
  author={Hsiao-Ping Hsu and M. C. Huang},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1999},
  volume={60 6 Pt A},
  pages={
          6361-70
        }
}
  • H. HsuM. Huang
  • Published 1 December 1999
  • Mathematics
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
The bond-percolation process is studied on periodic planar random lattices and their duals. The thresholds and critical exponents of the percolation transition are determined. The scaling functions of the percolating probability, the existence probability of the appearance of percolating clusters, and the mean cluster size are also calculated. The simulation result of the percolation threshold is p(c)=0.3333+/-0.0001 for planar random lattices, and 0.6670+/-0.0001 for the duals of planar random… 

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