Percolação em redes isotropicamente direcionadas

Detalhes bibliográficos
Ano de defesa: 2018
Autor(a) principal: Noronha, Aurélio Wildson Teixeira de
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: http://www.repositorio.ufc.br/handle/riufc/37976
Resumo: We investigate percolation on a randomly directed lattice, an intermediate between standard percolation and directed percolation models, focusing on the isotropic case in which bonds on opposite directions occur with the same probability. We derive exact results for the percolation threshold on honeycomb and triangular lattices, and present a conjecture for the value the percolation-threshold for in any lattice os given for $p_2 + p_1/2 = p_c$, where $p_c$ é standard critical percolation, $p_1$ is the probability of the lattice have a directed link and $p_2$ is the probability of the lattice have a undirected link that we call mixed-link lattices. We also identify presumably universal critical exponents, including a fractal dimension, associated with the strongly-connected components both for planar and cubic lattices. These critical exponents are different from those associated either with standard percolation or with directed percolation. In another perspective, begin mixed-link square lattices, we study the optimal paths and optimal crack paths in the lattices with directed links and undirected links and we found that optimal path critical exponents are the same for both standard percolation and isotropically directed lattices. However, the critical exponents from optimal path cracks are completely diferent in both lattice types and energy landscape disordered.