Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation
classification
❄️ cond-mat.stat-mech
cond-mat.dis-nnhep-lat
keywords
boundaryclustersconditionspercolationprobabilityspanningbeenbond
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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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