Site percolation of a fixed lattice size with growing regions of disallowed occupancy

Authors

  • Hilton Lazo ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Cristine Villagonzalo ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Ronald S. Banzon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We study site percolation in a rectangular lattice with increasing size of two clumped groups of banned sites. The percolation threshold was found to increase as the size of the banned sites is increased. The results were compared to the previously studied lattice with a system with a single group of clumped banned sites with the same number of available sites for occupation. It was observed that the percolation threshold for the dual case is greater than that of the single case. However, the thresholds follow the same trend as the number of available sites is increased.

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Issue

Article ID

SPP-2009-PA-06

Section

Poster Session PA

Published

2009-10-28

How to Cite

[1]
H Lazo, C Villagonzalo, and RS Banzon, Site percolation of a fixed lattice size with growing regions of disallowed occupancy, Proceedings of the Samahang Pisika ng Pilipinas 27, SPP-2009-PA-06 (2009). URL: https://proceedings.spp-online.org/article/view/SPP-2009-PA-06.