Field and electric potential of conductors with fractal geometry

Detalhes bibliográficos
Autor(a) principal: Assis, Thiago Albuquerque de
Data de Publicação: 2007
Outros Autores: Mota, Fernando de B., Miranda, José Garcia Vivas, Andrade, Roberto Fernandes Silva, Castilho, Caio Mário Castro de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/15958
Resumo: Texto completo: acesso restrito. p. 1-12
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spelling Assis, Thiago Albuquerque deMota, Fernando de B.Miranda, José Garcia VivasAndrade, Roberto Fernandes SilvaCastilho, Caio Mário Castro deAssis, Thiago Albuquerque deMota, Fernando de B.Miranda, José Garcia VivasAndrade, Roberto Fernandes SilvaCastilho, Caio Mário Castro de2014-09-09T15:49:18Z20070953-8984http://repositorio.ufba.br/ri/handle/ri/15958v. 19, n. 47Texto completo: acesso restrito. p. 1-12In this study, the behavior of the electric field and its potential are investigated in a region bounded by a rough fractal surface and a distant plane. Both boundaries, maintained at distinct potential values, are assumed to be conductors and, as such, the electric potential is obtained by numerically solving Laplace's equation subject to the appropriate Dirichlet's condition. The rough boundaries, generated by the ballistic deposition and fractal Brownian motion methods, are characterized by the values of the surface roughness W and the local fractal dimension df = 3−α, where α is the usual roughness exponent. The equipotential surfaces, obtained from Laplace's equation, are characterized by these same parameters. Results presented show how df depends on the potential value, on the method used to generate the boundary and on W. The behavior of the electric field with respect to the equipotential surface is also considered. Its average intensity was found to increase as a function of the average distance from the equipotential to the fractal boundary; however, its intensity reaches a maximum before decreasing towards an asymptotic constant value, an effect that increases as the value of W increases.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2014-01-07T16:05:52Z No. of bitstreams: 1 0953-8984_19_47_476215.pdf: 522156 bytes, checksum: 8995f338508be865b17d7a05489ee9f5 (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2014-09-09T15:49:18Z (GMT) No. of bitstreams: 1 0953-8984_19_47_476215.pdf: 522156 bytes, checksum: 8995f338508be865b17d7a05489ee9f5 (MD5)Made available in DSpace on 2014-09-09T15:49:18Z (GMT). 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dc.title.pt_BR.fl_str_mv Field and electric potential of conductors with fractal geometry
dc.title.alternative.pt_BR.fl_str_mv Journal of Physics: Condensed Matter
title Field and electric potential of conductors with fractal geometry
spellingShingle Field and electric potential of conductors with fractal geometry
Assis, Thiago Albuquerque de
title_short Field and electric potential of conductors with fractal geometry
title_full Field and electric potential of conductors with fractal geometry
title_fullStr Field and electric potential of conductors with fractal geometry
title_full_unstemmed Field and electric potential of conductors with fractal geometry
title_sort Field and electric potential of conductors with fractal geometry
author Assis, Thiago Albuquerque de
author_facet Assis, Thiago Albuquerque de
Mota, Fernando de B.
Miranda, José Garcia Vivas
Andrade, Roberto Fernandes Silva
Castilho, Caio Mário Castro de
author_role author
author2 Mota, Fernando de B.
Miranda, José Garcia Vivas
Andrade, Roberto Fernandes Silva
Castilho, Caio Mário Castro de
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Assis, Thiago Albuquerque de
Mota, Fernando de B.
Miranda, José Garcia Vivas
Andrade, Roberto Fernandes Silva
Castilho, Caio Mário Castro de
Assis, Thiago Albuquerque de
Mota, Fernando de B.
Miranda, José Garcia Vivas
Andrade, Roberto Fernandes Silva
Castilho, Caio Mário Castro de
description Texto completo: acesso restrito. p. 1-12
publishDate 2007
dc.date.issued.fl_str_mv 2007
dc.date.accessioned.fl_str_mv 2014-09-09T15:49:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/15958
dc.identifier.issn.none.fl_str_mv 0953-8984
dc.identifier.number.pt_BR.fl_str_mv v. 19, n. 47
identifier_str_mv 0953-8984
v. 19, n. 47
url http://repositorio.ufba.br/ri/handle/ri/15958
dc.language.iso.fl_str_mv eng
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