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.

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

References in corpus (1)

• Probability of Incipient Spanning Clusters in Critical Square Bond Percolation

Cited by in corpus (3)

• Exact critical exponent for the shortest-path scaling function in percolation
• Universal Finite-Size Scaling for Percolation Theory in High Dimensions
• Universal crossing probability in anisotropic systems