Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/16696
metadata.dc.type: | Artigo de Periódico |
Title: | Exact evaluation of the cutting path length in a percolation model on a hierarchical network |
Other Titles: | Physical Review E |
Authors: | Andrade, Roberto Fernandes Silva Herrmann, H. J. |
metadata.dc.creator: | Andrade, Roberto Fernandes Silva Herrmann, H. J. |
Abstract: | This work presents an approach to evaluate the exact value of the fractal dimension of the cutting path dCPf on hierarchical structures with finite order of ramification. Our approach is based on a renormalization group treatment of the universality class of watersheds. By making use of the self-similar property, we show that dCPf depends only on the average cutting path (CP) of the first generation of the structure. For the simplest Wheastone hierarchical lattice (WHL), we present a mathematical proof. For a larger WHL structure, the exact value of dCPf is derived based on a computer algorithm that identifies the length of all possible CP's of the first generation. |
metadata.dc.publisher.country: | Brasil |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/16696 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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R. F. S. Andrade.pdf | 138,92 kB | Adobe PDF | View/Open |
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