Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation

Details Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation

1998-02-08

arxiv.org/abs/cond-mat/9802082v1

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

Physics

Condensed Matter

Statistical Mechanics

Contribution to Lattice 97, LaTeX, 3 pages, 4 figures (1-eps, 3- LaTeX)

Scientific paper

10.1016/S0920-5632(97)00865-7

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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