| Texto completo | |
| Autor(es): |
Costa, Samuel dos S.
;
de Noronha, Aurelio W. T.
;
Vieira, Andre P.
;
Andrade Jr, Jose S.
;
Moreira, Andre A.
Número total de Autores: 5
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW E; v. 111, n. 5, p. 9-pg., 2025-05-21. |
| Resumo | |
We use renormalization-group and Monte Carlo calculations to investigate isotropically directed percolation on hierarchical lattices. We describe a general renormalization-group approach to exactly determine the critical exponents for these lattices. This approach is equivalent to, albeit simpler than, the method of cluster generating functions and can be applied to various hierarchical lattices. In the case of isotropically directed percolation, we need to determine two critical exponents, namely, /sccand /out associated, respectively, with the giant strongly connected component and the giant out component in the neighborhood of the percolation threshold. Our method is applied to different constructions of the hierarchical lattice, in particular, to a small-world hierarchical lattice which includes long-range bonds and exhibits a form of explosive percolation. (AU) | |
| Processo FAPESP: | 22/15453-0 - Materiais quânticos correlacionados |
| Beneficiário: | Eduardo Miranda |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 23/12490-4 - Transporte e dinâmica em sistemas aperiódicos |
| Beneficiário: | Andre de Pinho Vieira |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |