Probability of Incipient Spanning Clusters in Critical Two-Dimensional Percolation

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.

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