Percolation

Percolation depends on the topological constraints used. For example, the percolation threshold is dependent on the manner of connectivity of the elements in a system. The percolation threshold was estimated for a two-dimensional lattice with regions of disallowed occupancy.

Here L_B is the lattice edge size of the disallowed region.

References

1. Christian Oliver Jaramillo, BS Applied Physics thesis, Constrained Percolation in Two Dimensions , Advisers: Dr. R. Banzon and Dr. C. Villagonzalo, University of the Philippines, Diliman, Quezon City (March 2006)
2. M. N. Capili, C. Villagonzalo and R. Banzon, Calculation of the Average Occupation Probability for Spanning Cluster Formation in Site Percolation in the Proceedings of the Samahang Pisika ng Pilipinas, Vol.4, (ISSN 1656-2666), 25th SPP Physics Congress, University of the Philippines, Los Banos, Laguna, 24-26 October 2007 (spp-2007-192)