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Cluster size distribution at criticality

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Abstract

Monte Carlo studies of the cluster size distribution for the site percolation problem on the triangular lattice are extended to lattices with up to 4 × 1011 sites. Agreement with the predictions of scaling theory at pc is excellent over a range of cluster sizes spanning five orders of magnitude.

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References

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Rapaport, D.C. Cluster size distribution at criticality. J Stat Phys 66, 679–682 (1992). https://doi.org/10.1007/BF01060089

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  • DOI: https://doi.org/10.1007/BF01060089

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