Percolation critical exponent of a constrained lattice

Authors

Micielle N Capili; Cristine Villagonzalo; Ronald S. Banzon

Source

Proceedings of the 30th Samahang Pisika ng Pilipinas Physics Congress, De La Salle Health Sciences Institute, Dasmariñas, Cavite, 22–24 Oct 2012, SPP-2012-004.

Abstract

We implement the Average Occupation Probability method to treat site percolation on a square lattice with banned sites. It was found that the introduction of banned sites increases the value of the percolation probability while reducing the value of the critical exponent β. The deviation of β in site percolation of a constrained lattice from that of a regular system suggests that these lattice topologies belong to two different universality classes.