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Probability of incipient spanning clusters in critical two-dimensional percolation

L.N. Shchur, S.S. Kosyakov

Nucl.Phys. B - Proc. Suppl. 63 (1998) 664-666

cond-mat/9802082

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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