# Monte Carlo estimates of critical percolation probabilities

@article{Dean1967MonteCE, title={Monte Carlo estimates of critical percolation probabilities}, author={P. Dean and N F Bird}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, year={1967}, volume={63}, pages={477 - 479} }

In this paper we present results for the critical percolation probabilities of a number of two- and three-dimensional lattices. These results are based upon Monte Carlo studies of the way in which cluster-size distributions vary as the number of occupied sites in a lattice is progressively increased; the principle of the method has been described in some detail in an earlier publication (Dean (1)) in which the results of studies carried out on the ACE computer were reported. The use of a KDF 9…

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- Mathematics
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An exact method for determining the critical percolation probability, pc, for a number of two‐dimensional site and bond problems is described. For the site problem on the plane triangular lattice pc…

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- PhysicsMathematical Proceedings of the Cambridge Philosophical Society
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Abstract A new and general Monte Carlo technique is described for solving some well-known percolation and cluster-size problems on regular lattice networks. The method has been applied to ten…