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

Authors

Micielle 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

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 – p_c 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.

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Issue

2011: Proceedings of the 29th Samahang Pisika ng Pilipinas National Physics Congress

Article ID

SPP2011-5A-3

Section

Theoretical and Computational Physics

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://proceedings.spp-online.org/article/view/SPP2011-5A-3.