Szczegóły publikacji
Opis bibliograficzny
Percolation thresholds on a triangular lattice for neighborhoods containing sites up to the fifth coordination zone / Krzysztof MALARZ // Physical Review. E ; ISSN 2470-0045. — Tytuł poprz.: Physical Review E, Statistical, nonlinear, and soft matter physics ; ISSN: 1539-3755. — 2021 — vol. 103 iss. 5, s. 052107-1–052107-7. — Bibliogr. s. 052107-5–052107-7
Autor
Dane bibliometryczne
| ID BaDAP | 134118 |
|---|---|
| Data dodania do BaDAP | 2021-05-13 |
| Tekst źródłowy | URL |
| DOI | 10.1103/PhysRevE.103.052107 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Physical Review, E |
Abstract
We determine thresholds pc for random-site percolation on a triangular lattice for all available neighborhoods containing sites from the first to the fifth coordination zones, including their complex combinations. There are 31 distinct neighborhoods. The dependence of the value of the percolation thresholds pc on the coordination number z are tested against various theoretical predictions. The proposed single scalar index ξ=∑izir2i/i (depending on the coordination zone number i, the neighborhood coordination number z, and the square distance r2 to sites in ith coordination zone from the central site) allows one to differentiate among various neighborhoods and relate pc to ξ. The thresholds roughly follow a power law pc∝ξ−γ with γ≈0.710(19).
