Analysis and characterisation of statistical properties on rough surfaces

Detalhes bibliográficos
Ano de defesa: 2021
Autor(a) principal: Abril, Leidy Milena Leal
Orientador(a): Herrmann, Hans Jürgen
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: eng
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:
Superfícies rugosas
expoente de Hurst
método de filtro de Fourier
Percolação
Link de acesso: http://www.repositorio.ufc.br/handle/riufc/58300
Resumo: Statistical properties of random surfaces are widely studied since these are found in a lot of natural phenomena. Long-range spatial correlations quantified by the Hurst exponent are imposed within the surfaces through the Fourier filtering method. In addition, one can extract isoheight lines from rough surfaces and mapped them to percolation lines. Therefore, based on the percolation theory, we have studied the curves coupled to random surfaces with positive Hurst exponents. We obtain graphics for the roughness exponent, the fractal dimension for the case H=0, the mass of the isoheight lines and the kurtosis of the height distribution as functions of the Hurst exponent. Our results show that the height distribution of percolation lines does not have Gaussian behaviour.
id UFC-7_890cde2bac8cf568f1ec2ba7684f0a27
oai_identifier_str oai:repositorio.ufc.br:riufc/58300
network_acronym_str UFC-7
network_name_str Repositório Institucional da Universidade Federal do Ceará (UFC)
repository_id_str
spelling Abril, Leidy Milena LealHerrmann, Hans Jürgen2021-05-11T13:31:37Z2021-05-11T13:31:37Z2021ABRIL, L.M.L. Analysis and characterisation of statistical properties on rough surfaces. 46 f. Dissertação (Mestrado em Física) - Universidade Federal do Ceará, Fortaleza, 2021.http://www.repositorio.ufc.br/handle/riufc/58300Statistical properties of random surfaces are widely studied since these are found in a lot of natural phenomena. Long-range spatial correlations quantified by the Hurst exponent are imposed within the surfaces through the Fourier filtering method. In addition, one can extract isoheight lines from rough surfaces and mapped them to percolation lines. Therefore, based on the percolation theory, we have studied the curves coupled to random surfaces with positive Hurst exponents. We obtain graphics for the roughness exponent, the fractal dimension for the case H=0, the mass of the isoheight lines and the kurtosis of the height distribution as functions of the Hurst exponent. Our results show that the height distribution of percolation lines does not have Gaussian behaviour.Propriedades estatísticas de superfícies randômicas são amplamente estudadas, uma vez que estes são encontrados em muitos fenômenos naturais. Correlações espaciais de longo alcance quantificadas pelo expoente Hurst são impostas dentro das superfícies através do método de filtragem Fourier. Assim, pode-se extrair linhas de igual altura desde superfícies rugosas e mapeá-las para linhas de percolação. Portanto, com base na teoria da percolação, estudamos as curvas acopladas a superfícies aleatórias com expoentes de Hurst positivos. Obtemos gráficos para o expoente de rugosidade, a dimensão fractal no caso H=0, a massa da linha de percolação e a curtose da distribuição de altura como funções do expoente Hurst. Nossos resultados mostram que a distribuição da altura das linhas de percolação não tem comportamento Gaussiano.Superfícies rugosasexpoente de Hurstmétodo de filtro de FourierPercolaçãoAnalysis and characterisation of statistical properties on rough surfacesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisengreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccessORIGINAL2021_dis_lmlabril.pdf2021_dis_lmlabril.pdfapplication/pdf9047949http://repositorio.ufc.br/bitstream/riufc/58300/5/2021_dis_lmlabril.pdf187d2721224076df4b9d4c6ee2d1e57aMD55LICENSElicense.txtlicense.txttext/plain; charset=utf-82125http://repositorio.ufc.br/bitstream/riufc/58300/6/license.txtce2f77d9db6511060b9277b356f86c2dMD56riufc/583002021-12-08 14:38:48.154oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2021-12-08T17:38:48Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv Analysis and characterisation of statistical properties on rough surfaces
title Analysis and characterisation of statistical properties on rough surfaces
spellingShingle Analysis and characterisation of statistical properties on rough surfaces
Abril, Leidy Milena Leal
Superfícies rugosas
expoente de Hurst
método de filtro de Fourier
Percolação
title_short Analysis and characterisation of statistical properties on rough surfaces
title_full Analysis and characterisation of statistical properties on rough surfaces
title_fullStr Analysis and characterisation of statistical properties on rough surfaces
title_full_unstemmed Analysis and characterisation of statistical properties on rough surfaces
title_sort Analysis and characterisation of statistical properties on rough surfaces
author Abril, Leidy Milena Leal
author_facet Abril, Leidy Milena Leal
author_role author
dc.contributor.author.fl_str_mv Abril, Leidy Milena Leal
dc.contributor.advisor1.fl_str_mv Herrmann, Hans Jürgen
contributor_str_mv Herrmann, Hans Jürgen
dc.subject.por.fl_str_mv Superfícies rugosas
expoente de Hurst
método de filtro de Fourier
Percolação
topic Superfícies rugosas
expoente de Hurst
método de filtro de Fourier
Percolação
description Statistical properties of random surfaces are widely studied since these are found in a lot of natural phenomena. Long-range spatial correlations quantified by the Hurst exponent are imposed within the surfaces through the Fourier filtering method. In addition, one can extract isoheight lines from rough surfaces and mapped them to percolation lines. Therefore, based on the percolation theory, we have studied the curves coupled to random surfaces with positive Hurst exponents. We obtain graphics for the roughness exponent, the fractal dimension for the case H=0, the mass of the isoheight lines and the kurtosis of the height distribution as functions of the Hurst exponent. Our results show that the height distribution of percolation lines does not have Gaussian behaviour.
publishDate 2021
dc.date.accessioned.fl_str_mv 2021-05-11T13:31:37Z
dc.date.available.fl_str_mv 2021-05-11T13:31:37Z
dc.date.issued.fl_str_mv 2021
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv ABRIL, L.M.L. Analysis and characterisation of statistical properties on rough surfaces. 46 f. Dissertação (Mestrado em Física) - Universidade Federal do Ceará, Fortaleza, 2021.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufc.br/handle/riufc/58300
identifier_str_mv ABRIL, L.M.L. Analysis and characterisation of statistical properties on rough surfaces. 46 f. Dissertação (Mestrado em Física) - Universidade Federal do Ceará, Fortaleza, 2021.
url http://www.repositorio.ufc.br/handle/riufc/58300
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.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Federal do Ceará (UFC)
instname:Universidade Federal do Ceará (UFC)
instacron:UFC
instname_str Universidade Federal do Ceará (UFC)
instacron_str UFC
institution UFC
reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
collection Repositório Institucional da Universidade Federal do Ceará (UFC)
bitstream.url.fl_str_mv http://repositorio.ufc.br/bitstream/riufc/58300/5/2021_dis_lmlabril.pdf
http://repositorio.ufc.br/bitstream/riufc/58300/6/license.txt
bitstream.checksum.fl_str_mv 187d2721224076df4b9d4c6ee2d1e57a
ce2f77d9db6511060b9277b356f86c2d
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)
repository.mail.fl_str_mv bu@ufc.br || repositorio@ufc.br
_version_ 1847793408627703808

Registros relacionados