Determination of the critical exponent β in site percolation using Average Occupation Probability on a square lattice

  • Micielle Capili National Institute of Physics, University of the Philippines Diliman
  • Cristine Villagonzalo National Institute of Physics, University of the Philippines Diliman
  • Ronald Banzon National Institute of Physics, University of the Philippines Diliman

Abstract

Using the Average Occupation Probability in site percolation, the critical exponent β for a lattice (L × 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 × 200 is necessary for the procedure to yield an acceptable value of the critical exponent.

Published
2011-10-24
How to Cite
[1]
M. Capili, C. Villagonzalo, and R. Banzon. Determination of the critical exponent β in site percolation using Average Occupation Probability on a square lattice, Proceedings of the Samahang Pisika ng Pilipinas 29, SPP2011-5A-3 (2011). URL: https://paperview.spp-online.org/proceedings/article/view/3139.