Critical frontier of the Potts and percolation models on triangular-type and kagome-type lattices. II. Numerical analysis.

@article{Ding2010CriticalFO,
  title={Critical frontier of the Potts and percolation models on triangular-type and kagome-type lattices. II. Numerical analysis.},
  author={Chengxiang Ding and Zhe Fu and Wenan Guo and F. Y. Wu},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={81 6 Pt 1},
  pages={
          061111
        }
}
  • Chengxiang DingZ. Fu F. Y. Wu
  • Published 10 January 2010
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
In the preceding paper, one of us (F. Y. Wu) considered the Potts model and bond and site percolation on two general classes of two-dimensional lattices, the triangular-type and kagome-type lattices, and obtained closed-form expressions for the critical frontier with applications to various lattice models. For the triangular-type lattices Wu's result is exact, and for the kagome-type lattices Wu's expression is under a homogeneity assumption. The purpose of the present paper is twofold: First… 

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Critical frontier of the Potts and percolation models on triangular-type and kagome-type lattices. I. Closed-form expressions.

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