Szczegóły publikacji
Opis bibliograficzny
Simple cubic random-site percolation thresholds for neighbourhoods caontaining fourth-nearest neighbors / Krzysztof MALARZ // Physical Review. E, Statistical, nonlinear, and soft matter physics ; ISSN 1539-3755. — 2015 — vol. 91 iss. 4, s. 043301-1–043301-5. — Bibliogr. s. 043301-4–043301-5
Autor
Dane bibliometryczne
| ID BaDAP | 89775 |
|---|---|
| Data dodania do BaDAP | 2015-06-18 |
| Tekst źródłowy | URL |
| DOI | 10.1103/PhysRevE.91.043301 |
| Rok publikacji | 2015 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Physical Review, E |
Abstract
In this paper, random-site percolation thresholds for a simple cubic (SC) lattice with site neighborhoods containing next-next-next-nearest neighbors (4NN) are evaluated with Monte Carlo simulations. A recently proposed algorithm with low sampling for percolation thresholds estimation (Bastas et al., arXiv:1411.5834) is implemented for the studies of the top-bottom wrapping probability. The obtained percolation thresholds are p(C) (4NN) = 0.311 60(12), p(C) (4NN + NN) = 0.150 40(12), p(C) (4NN + 2NN) = 0.159 50(12), p(C) (4NN + 3NN) = 0.204 90(12), p(C) (4NN + 2NN + NN) = 0.114 40(12), p(C) (4NN + 3NN + NN) = 0.119 20(12), p(C) (4NN + 3NN + 2NN) = 0.113 30(12), and p(C) (4NN + 3NN + 2NN + NN) = 0.100 00(12), where 3NN, 2NN, and NN stand for next-next-nearest neighbors, next-nearest neighbors, and nearest neighbors, respectively. As an SC lattice with 4NN neighbors may be mapped onto two independent interpenetrated SC lattices but with a lattice constant that is twice as large, the percolation threshold p(C) (4NN) is exactly equal to p(C) (NN). The simplified method of Bastas et al. allows for uncertainty of the percolation threshold value pC to be reached, similar to that obtained with the classical method but ten times faster.
