@inproceedings {248, title = {Determination of the critical exponent β in site percolation using average occupation probability on a square lattice}, booktitle = {Proceedings of the 29th Samahang Pisika ng Pilipinas National Physics Congress}, year = {2011}, month = {24{\textendash}26 Oct 2011}, pages = {SPP2011-5A-3}, address = {University of the Philippines Diliman, Quezon City}, abstract = {
Using the Average Occupation Probability in site percolation, the critical exponent\ β\ for a lattice (L {\texttimes} L) is determined. The results for different lattice\ sizes show that as the lattice becomes larger, the calculated\ β\ agrees better with that obtained from 2D scaling theory. There appears a common\ range of p-pc which can be used for any L to compute for\ β. We estimate that a minimum lattice size of 200 {\texttimes} 200 is necessary for the\ procedure to yield an acceptable value of the critical exponent.
}, url = {https://paperview.spp-online.org/proceedings/article/view/3139}, author = {Micielle N Capili and Cristine Villagonzalo and Ronald S. Banzon} }