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

Authors

Micielle N. Capili ⋅ PH National Institute of Physics, University of the Philippines Diliman
Cristine Villagonzalo ⋅ PH National Institute of Physics, University of the Philippines Diliman
Ronald Banzon ⋅ PH National Institute of Physics, University of the Philippines Diliman

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.

Downloads

Issue

2007: Proceedings of the 25th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2007-PA-48

Section

Poster Session PA

Published

2007-10-24

How to Cite

[1]

MN Capili, C Villagonzalo, and R Banzon, Calculation of the average occupation probability for spanning cluster formation in site percolation, Proceedings of the Samahang Pisika ng Pilipinas 25, SPP-2007-PA-48 (2007). URL: https://proceedings.spp-online.org/article/view/SPP-2007-PA-48.