Calculation of the average occupation probability for spanning cluster formation in site percolation

Authors

Micielle N Capili; Cristine Villagonzalo; Ronald S. Banzon

Source

Proceedings of the 25th Samahang Pisika ng Pilipinas Physics Congress, University of the Phlippines Los Baños, Laguna, SPP-2007-192 (2007).

Abstract

The average occupation probability for spanning cluster formation in square lattice using site percolation was calculated. Starting with an empty lattice, sites were generated using a pseudo-random number generator. A cluster labeling procedure was implemented for the detection of a spanning cluster. Our results show that the average occupation probability decreases linearly with inverse lattice edge length. The average occupation probability's extrapolated value of 0.608 as the lattice size approaches infinity is found to be a good estimate of the accepted value for the site percolation threshold in two dimensions equal to 0.598.