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Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation

L. N. Shchur·S. S. Kosyakov
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Abstract

The probability of simultaneous occurence of at least k spanning clusters has been studied by Monte Carlo simulations on the 2D square lattice at the bond percolation threshold Pc=1/2. The calculated probabilities for free boundary conditions and periodic boundary conditions are in a very good coincidence with the exact formulae developed recently by Cardy.

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L. N. Shchur, S. S. Kosyakov. 1998-02-08. Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation. https://doi.org/10.1016/s0920-5632(97)00865-7

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