Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/7130 |
Resumo: | p. 293-300 |
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Dias Filho, Hugo de O.Castilho, Caio Mário Castro deMiranda, José Garcia VivasAndrade, Roberto Fernandes SilvaDias Filho, Hugo de O.Castilho, Caio Mário Castro deMiranda, José Garcia VivasAndrade, Roberto Fernandes Silva2012-11-07T12:46:38Z20040378-4371http://www.repositorio.ufba.br/ri/handle/ri/7130v. 523, n. 2p. 293-300We consider a region bounded by two conductors held to a constant voltage bias, one of them with an irregular rough shape andthe other being a 6at one. The irregular pro$le can be either a curve with a formation rule or the result of a deposition process. The rough shape of the pro$le in6uences the equipotential lines, which we have characterizedby numerically evaluating their roughness exponent andfractal dimension Df. For a $xed$nite size system, the less corrugatedlines, far away from the rough pro$le, have higher . For a line corresponding to a $xedvalue of the potential, the roughness exponent decreases with the size of the pro$le, suggesting that a single constant value characterizes all lines for an in$nite system. c 2004 Elsevier B.V. All rights reserved.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-11-07T12:46:38Z No. of bitstreams: 1 __ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdf: 361350 bytes, checksum: 41cd9ead6bcaddf52ca4b5b588f6a59a (MD5)Made available in DSpace on 2012-11-07T12:46:38Z (GMT). No. of bitstreams: 1 __ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdf: 361350 bytes, checksum: 41cd9ead6bcaddf52ca4b5b588f6a59a (MD5) Previous issue date: 2004Elsevierhttp://dx.doi.org/10.1016/j.physa.2004.04.099reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAFractal DimensionSurfacesLaplace’s equationDetermination of the fractal dimension of equipotential surfaces in a region confined by rough conductorsPhysica A: Statistical Mechanics and its Applicationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL__ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdf__ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdfapplication/pdf361350https://repositorio.ufba.br/bitstream/ri/7130/1/__ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdf41cd9ead6bcaddf52ca4b5b588f6a59aMD51LICENSElicense.txtlicense.txttext/plain1809https://repositorio.ufba.br/bitstream/ri/7130/2/license.txt8bb3e3eb871f5854a9ec419f68651b60MD52TEXT__ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdf.txt__ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdf.txtExtracted texttext/plain15509https://repositorio.ufba.br/bitstream/ri/7130/3/__ac.els-cdn.com_S037843...d185b973a5228f4915d0c989fd1f4.pdf.txt526ede2ab01979a6ac677515534f3f9dMD53ri/71302022-07-05 14:03:47.571oai:repositorio.ufba.br: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ório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:47Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
dc.title.pt_BR.fl_str_mv |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors |
dc.title.alternative.pt_BR.fl_str_mv |
Physica A: Statistical Mechanics and its Applications |
title |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors |
spellingShingle |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors Dias Filho, Hugo de O. Fractal Dimension Surfaces Laplace’s equation |
title_short |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors |
title_full |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors |
title_fullStr |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors |
title_full_unstemmed |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors |
title_sort |
Determination of the fractal dimension of equipotential surfaces in a region confined by rough conductors |
author |
Dias Filho, Hugo de O. |
author_facet |
Dias Filho, Hugo de O. Castilho, Caio Mário Castro de Miranda, José Garcia Vivas Andrade, Roberto Fernandes Silva |
author_role |
author |
author2 |
Castilho, Caio Mário Castro de Miranda, José Garcia Vivas Andrade, Roberto Fernandes Silva |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Dias Filho, Hugo de O. Castilho, Caio Mário Castro de Miranda, José Garcia Vivas Andrade, Roberto Fernandes Silva Dias Filho, Hugo de O. Castilho, Caio Mário Castro de Miranda, José Garcia Vivas Andrade, Roberto Fernandes Silva |
dc.subject.por.fl_str_mv |
Fractal Dimension Surfaces Laplace’s equation |
topic |
Fractal Dimension Surfaces Laplace’s equation |
description |
p. 293-300 |
publishDate |
2004 |
dc.date.issued.fl_str_mv |
2004 |
dc.date.accessioned.fl_str_mv |
2012-11-07T12:46:38Z |
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://www.repositorio.ufba.br/ri/handle/ri/7130 |
dc.identifier.issn.none.fl_str_mv |
0378-4371 |
dc.identifier.number.pt_BR.fl_str_mv |
v. 523, n. 2 |
identifier_str_mv |
0378-4371 v. 523, n. 2 |
url |
http://www.repositorio.ufba.br/ri/handle/ri/7130 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.pt_BR.fl_str_mv |
http://dx.doi.org/10.1016/j.physa.2004.04.099 |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFBA instname:Universidade Federal da Bahia (UFBA) instacron:UFBA |
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Universidade Federal da Bahia (UFBA) |
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UFBA |
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UFBA |
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Repositório Institucional da UFBA |
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Repositório Institucional da UFBA |
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