Constrained percolation in two dimensions

Authors

Christian Oliver Jaramillo 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

The effect of implanting square lattice sites of zero occupation probability at the center of a finite but large square lattice for site percolation was investigated. The introduction of symmetrical forbidden site lattices of different sizes inside 40x40 and 60x60 lattices yield percolation threshold values increasing with the size of the forbidden lattice. It was shown that topology in two dimensions dictates the value of the percolation threshold.

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Issue

2005: Proceedings of the 23rd Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2005-PA-33

Section

Poster Session PA

Published

2005-10-26

How to Cite

[1]

CO Jaramillo, C Villagonzalo, and R Banzon, Constrained percolation in two dimensions, Proceedings of the Samahang Pisika ng Pilipinas 23, SPP-2005-PA-33 (2005). URL: https://proceedings.spp-online.org/article/view/SPP-2005-PA-33.