Szczegóły publikacji
Opis bibliograficzny
Square-lattice site percolation at increasing ranges of neighbor bonds / Krzysztof MALARZ, Serge Galam // Physical Review. E, Statistical, nonlinear, and soft matter physics ; ISSN 1539-3755. — 2005 — vol. 71 iss. 1 art. no. 016125, s. 016125-1–016125-4. — Bibliogr. s. 016125-4. — Publikacja dostępna online od: 2005-01-18. — K. Malarz - dod. afiliacja: Université Pierre et Marie Curie et CNRS, Paris, France
Autorzy (2)
- AGHMalarz Krzysztof
- Galam Serge
Dane bibliometryczne
| ID BaDAP | 19843 |
|---|---|
| Data dodania do BaDAP | 2005-02-17 |
| Tekst źródłowy | URL |
| DOI | 10.1103/PhysRevE.71.016125 |
| Rok publikacji | 2005 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Physical Review, E |
Abstract
We report site percolation thresholds for square lattice with neighbor bonds at various increasing ranges. Using Monte Carlo techniques we found that nearest neighbors (NN), next-nearest neighbors (NNN), next-next-nearest neighbors (4N), and fifth-nearest neighbors (6N) yield the same p(c)=0.592.... The fourth-nearest neighbors (5N) give p(c)=0.298.... This equality is proved to be mathematically exact using symmetry argument. We then consider combinations of various kinds of neighborhoods with (NN+NNN), (NN+4N), (NN +NNN+4N), and (NN+5N). The calculated associated thresholds are respectively p(c)=0.407..., 0.337..., 0.288..., and 0.234.... The existing Galam-Mauger universal formula for percolation thresholds does not reproduce the data showing dimension and coordination number are not sufficient to build a universal law which extends to complex lattices.
