Percolation critical exponent of a constrained lattice

Authors

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

Abstract

We implement the Average Occupation Probability 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.

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Issue

2012: Proceedings of the 30th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2012-4C-1

Section

Computational Physics and Signal Processing

Published

2012-10-22

How to Cite

[1]

M Capili, R Banzon, and C Villagonzalo, Percolation critical exponent of a constrained lattice, Proceedings of the Samahang Pisika ng Pilipinas 30, SPP2012-4C-1 (2012). URL: https://proceedings.spp-online.org/article/view/SPP2012-4C-1.