Abstract
The Kasteleyn-Fortuin formulation of bond percolation as a lattice statistical model is rederived using an alternate approach. It is shown that the quantities of interest arising in the percolation problem, including the critical exponents, can be obtained from the solution of the Potts model. We also establish the Griffith inequality for critical exponents for the bond percolation problem.
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Work supported in part by NSF Grant No. D MR 76-20643.
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Wu, F.Y. Percolation and the Potts model. J Stat Phys 18, 115–123 (1978). https://doi.org/10.1007/BF01014303
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DOI: https://doi.org/10.1007/BF01014303