Roughness exponents to calculate multi-affine fractal exponents

Detalhes bibliográficos
Autor(a) principal: Silva, Alcides Volpato Carneiro de Castro e
Data de Publicação: 1997
Outros Autores: Moreira, José Guilherme Martins Alves
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFOP
Texto Completo: http://www.repositorio.ufop.br/handle/123456789/886
Resumo: We propose a new method to determine the multi-affine fractal exponents based on a generalization of the roughness concept. For synthetic multi-attine fractal profiles with exactly known exponents, we show that the results obtained in this method are more accurate than the results obtained with the height-height correlation function method. Also in the present method, scaling is observed using profiles with a number of points more than one order of magnitude smaller.
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spelling Silva, Alcides Volpato Carneiro de Castro eMoreira, José Guilherme Martins Alves2012-06-19T14:52:46Z2012-06-19T14:52:46Z1997SILVA, A. V. C. de C. e ; MOREIRA, J. G. M. A. Roughness exponents to calculate multi-affine fractal exponents. Physica A, v. 235, n. 3-4, p. 327-333, 1997. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437196003573>. Acesso em: 19 jun. 2012.03784371http://www.repositorio.ufop.br/handle/123456789/886We propose a new method to determine the multi-affine fractal exponents based on a generalization of the roughness concept. For synthetic multi-attine fractal profiles with exactly known exponents, we show that the results obtained in this method are more accurate than the results obtained with the height-height correlation function method. Also in the present method, scaling is observed using profiles with a number of points more than one order of magnitude smaller.Roughness exponents to calculate multi-affine fractal exponentsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleO Periódico Physica A concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3345930733653.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://www.repositorio.ufop.br/bitstream/123456789/886/5/license.txt8a4605be74aa9ea9d79846c1fba20a33MD55ORIGINALARTIGO_RoughnessExponentsCalculate.pdfARTIGO_RoughnessExponentsCalculate.pdfapplication/pdf273941http://www.repositorio.ufop.br/bitstream/123456789/886/1/ARTIGO_RoughnessExponentsCalculate.pdf3bab5386457cd30d704c327bcd1ea65fMD51123456789/8862019-02-22 14:25:50.406oai:localhost: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Repositório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332019-02-22T19:25:50Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false
dc.title.pt_BR.fl_str_mv Roughness exponents to calculate multi-affine fractal exponents
title Roughness exponents to calculate multi-affine fractal exponents
spellingShingle Roughness exponents to calculate multi-affine fractal exponents
Silva, Alcides Volpato Carneiro de Castro e
title_short Roughness exponents to calculate multi-affine fractal exponents
title_full Roughness exponents to calculate multi-affine fractal exponents
title_fullStr Roughness exponents to calculate multi-affine fractal exponents
title_full_unstemmed Roughness exponents to calculate multi-affine fractal exponents
title_sort Roughness exponents to calculate multi-affine fractal exponents
author Silva, Alcides Volpato Carneiro de Castro e
author_facet Silva, Alcides Volpato Carneiro de Castro e
Moreira, José Guilherme Martins Alves
author_role author
author2 Moreira, José Guilherme Martins Alves
author2_role author
dc.contributor.author.fl_str_mv Silva, Alcides Volpato Carneiro de Castro e
Moreira, José Guilherme Martins Alves
description We propose a new method to determine the multi-affine fractal exponents based on a generalization of the roughness concept. For synthetic multi-attine fractal profiles with exactly known exponents, we show that the results obtained in this method are more accurate than the results obtained with the height-height correlation function method. Also in the present method, scaling is observed using profiles with a number of points more than one order of magnitude smaller.
publishDate 1997
dc.date.issued.fl_str_mv 1997
dc.date.accessioned.fl_str_mv 2012-06-19T14:52:46Z
dc.date.available.fl_str_mv 2012-06-19T14:52:46Z
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.citation.fl_str_mv SILVA, A. V. C. de C. e ; MOREIRA, J. G. M. A. Roughness exponents to calculate multi-affine fractal exponents. Physica A, v. 235, n. 3-4, p. 327-333, 1997. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437196003573>. Acesso em: 19 jun. 2012.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufop.br/handle/123456789/886
dc.identifier.issn.none.fl_str_mv 03784371
identifier_str_mv SILVA, A. V. C. de C. e ; MOREIRA, J. G. M. A. Roughness exponents to calculate multi-affine fractal exponents. Physica A, v. 235, n. 3-4, p. 327-333, 1997. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437196003573>. Acesso em: 19 jun. 2012.
03784371
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