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

Elektrik-Elektronik Mühendisliği

Araştırma çıktısı: Dergi katkısı › Makale › Hakem

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	323-329
Sayfa sayısı	7
Dergi	Canadian Journal of Physics
Hacim	82
Basın numarası	4
DOI'lar	https://doi.org/10.1139/p04-012
Yayın durumu	Yayınlanan - Nis 2004

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10.1139/p04-012

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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, 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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AU - Karakaplan, Mustafa

AU - Ulug, Bülent

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N2 - 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.

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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U2 - 10.1139/p04-012

DO - 10.1139/p04-012

M3 - Article

AN - SCOPUS:3142609472

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JO - Canadian Journal of Physics

JF - Canadian Journal of Physics

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

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