Clustering in some randomly occupied two- and three-dimensional lattices

Asiye Ulug; Mustafa Karakaplan; Bülent Ulug

doi:10.1139/p04-012

Clustering in some randomly occupied two- and three-dimensional lattices

Asiye Ulug, Mustafa Karakaplan, Bülent Ulug

Research output: Contribution to journal › Article › peer-review

Abstract

Clustering in some two- and three-dimensional lattices is investigated using an algorithm similar to that of Hoshen-Kopelman. The total number of clusters reveals a maximum at an occupation probability, p_max, where the average cluster size, 2.03 ± 0.07, is found to be independent of the size, dimension, coordination number, and the type of lattice. We discussed the fact that the clustering effectively begins at p_max. The percolation threshold, p_c, and p_max are found to get closer to each other as the coordination number increases.

Original language	English
Pages (from-to)	323-329
Number of pages	7
Journal	Canadian Journal of Physics
Volume	82
Issue number	4
DOIs	https://doi.org/10.1139/p04-012
Publication status	Published - Apr 2004
Externally published	Yes

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AB - Clustering in some two- and three-dimensional lattices is investigated using an algorithm similar to that of Hoshen-Kopelman. The total number of clusters reveals a maximum at an occupation probability, pmax, where the average cluster size, 2.03 ± 0.07, is found to be independent of the size, dimension, coordination number, and the type of lattice. We discussed the fact that the clustering effectively begins at pmax. The percolation threshold, pc, and pmax are found to get closer to each other as the coordination number increases.

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Clustering in some randomly occupied two- and three-dimensional lattices

Abstract

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