Roughness exponents and grain shapes
Autor(a) principal: | |
---|---|
Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | LOCUS Repositório Institucional da UFV |
Texto Completo: | https://doi.org/10.1103/PhysRevE.83.041608 http://www.locus.ufv.br/handle/123456789/19315 |
Resumo: | In surfaces with grainy features, the local roughness w shows a crossover at a characteristic length rc, with roughness exponent changing from α1≈1 to a smaller α2. The grain shape, the choice of w or height-height correlation function (HHCF) C, and the procedure to calculate root-mean-square averages are shown to have remarkable effects on α1. With grains of pyramidal shape, α1 can be as low as 0.71, which is much lower than the previous prediction 0.85 for rounded grains. The same crossover is observed in the HHCF, but with initial exponent χ1≈0.5 for flat grains, while for some conical grains it may increase to χ1≈0.7. The universality class of the growth process determines the exponents α2=χ2 after the crossover, but has no effect on the initial exponents α1 and χ1, supporting the geometric interpretation of their values. For all grain shapes and different definitions of surface roughness or HHCF, we still observe that the crossover length rc is an accurate estimate of the grain size. The exponents obtained in several recent experimental works on different materials are explained by those models, with some surface images qualitatively similar to our model films. |
id |
UFV_43dd6620004a6dc718c5267f796c68bc |
---|---|
oai_identifier_str |
oai:locus.ufv.br:123456789/19315 |
network_acronym_str |
UFV |
network_name_str |
LOCUS Repositório Institucional da UFV |
repository_id_str |
2145 |
spelling |
Oliveira, T. J.Reis, F. D. A. Aarao2018-05-03T18:05:46Z2018-05-03T18:05:46Z2011-04-202470-0053https://doi.org/10.1103/PhysRevE.83.041608http://www.locus.ufv.br/handle/123456789/19315In surfaces with grainy features, the local roughness w shows a crossover at a characteristic length rc, with roughness exponent changing from α1≈1 to a smaller α2. The grain shape, the choice of w or height-height correlation function (HHCF) C, and the procedure to calculate root-mean-square averages are shown to have remarkable effects on α1. With grains of pyramidal shape, α1 can be as low as 0.71, which is much lower than the previous prediction 0.85 for rounded grains. The same crossover is observed in the HHCF, but with initial exponent χ1≈0.5 for flat grains, while for some conical grains it may increase to χ1≈0.7. The universality class of the growth process determines the exponents α2=χ2 after the crossover, but has no effect on the initial exponents α1 and χ1, supporting the geometric interpretation of their values. For all grain shapes and different definitions of surface roughness or HHCF, we still observe that the crossover length rc is an accurate estimate of the grain size. The exponents obtained in several recent experimental works on different materials are explained by those models, with some surface images qualitatively similar to our model films.engRoughness exponents and grain shapesVol. 83, Issue 4, p. 1-7, April 2011American Physical Societyinfo:eu-repo/semantics/openAccessRoughnessExponentsGrain shapesRoughness exponents and grain shapesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALartigo.pdfartigo.pdftexto completoapplication/pdf195562https://locus.ufv.br//bitstream/123456789/19315/1/artigo.pdfb5a45ebbb1983b235ace580601cf97a8MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/19315/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILartigo.pdf.jpgartigo.pdf.jpgIM Thumbnailimage/jpeg5210https://locus.ufv.br//bitstream/123456789/19315/3/artigo.pdf.jpge5c7a3978bc4f08a1cffe5c4a48cd67bMD53123456789/193152018-05-03 23:00:30.153oai:locus.ufv.br:123456789/19315Tk9URTogUExBQ0UgWU9VUiBPV04gTElDRU5TRSBIRVJFClRoaXMgc2FtcGxlIGxpY2Vuc2UgaXMgcHJvdmlkZWQgZm9yIGluZm9ybWF0aW9uYWwgcHVycG9zZXMgb25seS4KCk5PTi1FWENMVVNJVkUgRElTVFJJQlVUSU9OIExJQ0VOU0UKCkJ5IHNpZ25pbmcgYW5kIHN1Ym1pdHRpbmcgdGhpcyBsaWNlbnNlLCB5b3UgKHRoZSBhdXRob3Iocykgb3IgY29weXJpZ2h0Cm93bmVyKSBncmFudHMgdG8gRFNwYWNlIFVuaXZlcnNpdHkgKERTVSkgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgdG8gcmVwcm9kdWNlLAp0cmFuc2xhdGUgKGFzIGRlZmluZWQgYmVsb3cpLCBhbmQvb3IgZGlzdHJpYnV0ZSB5b3VyIHN1Ym1pc3Npb24gKGluY2x1ZGluZwp0aGUgYWJzdHJhY3QpIHdvcmxkd2lkZSBpbiBwcmludCBhbmQgZWxlY3Ryb25pYyBmb3JtYXQgYW5kIGluIGFueSBtZWRpdW0sCmluY2x1ZGluZyBidXQgbm90IGxpbWl0ZWQgdG8gYXVkaW8gb3IgdmlkZW8uCgpZb3UgYWdyZWUgdGhhdCBEU1UgbWF5LCB3aXRob3V0IGNoYW5naW5nIHRoZSBjb250ZW50LCB0cmFuc2xhdGUgdGhlCnN1Ym1pc3Npb24gdG8gYW55IG1lZGl1bSBvciBmb3JtYXQgZm9yIHRoZSBwdXJwb3NlIG9mIHByZXNlcnZhdGlvbi4KCllvdSBhbHNvIGFncmVlIHRoYXQgRFNVIG1heSBrZWVwIG1vcmUgdGhhbiBvbmUgY29weSBvZiB0aGlzIHN1Ym1pc3Npb24gZm9yCnB1cnBvc2VzIG9mIHNlY3VyaXR5LCBiYWNrLXVwIGFuZCBwcmVzZXJ2YXRpb24uCgpZb3UgcmVwcmVzZW50IHRoYXQgdGhlIHN1Ym1pc3Npb24gaXMgeW91ciBvcmlnaW5hbCB3b3JrLCBhbmQgdGhhdCB5b3UgaGF2ZQp0aGUgcmlnaHQgdG8gZ3JhbnQgdGhlIHJpZ2h0cyBjb250YWluZWQgaW4gdGhpcyBsaWNlbnNlLiBZb3UgYWxzbyByZXByZXNlbnQKdGhhdCB5b3VyIHN1Ym1pc3Npb24gZG9lcyBub3QsIHRvIHRoZSBiZXN0IG9mIHlvdXIga25vd2xlZGdlLCBpbmZyaW5nZSB1cG9uCmFueW9uZSdzIGNvcHlyaWdodC4KCklmIHRoZSBzdWJtaXNzaW9uIGNvbnRhaW5zIG1hdGVyaWFsIGZvciB3aGljaCB5b3UgZG8gbm90IGhvbGQgY29weXJpZ2h0LAp5b3UgcmVwcmVzZW50IHRoYXQgeW91IGhhdmUgb2J0YWluZWQgdGhlIHVucmVzdHJpY3RlZCBwZXJtaXNzaW9uIG9mIHRoZQpjb3B5cmlnaHQgb3duZXIgdG8gZ3JhbnQgRFNVIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdApzdWNoIHRoaXJkLXBhcnR5IG93bmVkIG1hdGVyaWFsIGlzIGNsZWFybHkgaWRlbnRpZmllZCBhbmQgYWNrbm93bGVkZ2VkCndpdGhpbiB0aGUgdGV4dCBvciBjb250ZW50IG9mIHRoZSBzdWJtaXNzaW9uLgoKSUYgVEhFIFNVQk1JU1NJT04gSVMgQkFTRUQgVVBPTiBXT1JLIFRIQVQgSEFTIEJFRU4gU1BPTlNPUkVEIE9SIFNVUFBPUlRFRApCWSBBTiBBR0VOQ1kgT1IgT1JHQU5JWkFUSU9OIE9USEVSIFRIQU4gRFNVLCBZT1UgUkVQUkVTRU5UIFRIQVQgWU9VIEhBVkUKRlVMRklMTEVEIEFOWSBSSUdIVCBPRiBSRVZJRVcgT1IgT1RIRVIgT0JMSUdBVElPTlMgUkVRVUlSRUQgQlkgU1VDSApDT05UUkFDVCBPUiBBR1JFRU1FTlQuCgpEU1Ugd2lsbCBjbGVhcmx5IGlkZW50aWZ5IHlvdXIgbmFtZShzKSBhcyB0aGUgYXV0aG9yKHMpIG9yIG93bmVyKHMpIG9mIHRoZQpzdWJtaXNzaW9uLCBhbmQgd2lsbCBub3QgbWFrZSBhbnkgYWx0ZXJhdGlvbiwgb3RoZXIgdGhhbiBhcyBhbGxvd2VkIGJ5IHRoaXMKbGljZW5zZSwgdG8geW91ciBzdWJtaXNzaW9uLgo=Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452018-05-04T02:00:30LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false |
dc.title.en.fl_str_mv |
Roughness exponents and grain shapes |
title |
Roughness exponents and grain shapes |
spellingShingle |
Roughness exponents and grain shapes Oliveira, T. J. Roughness Exponents Grain shapes |
title_short |
Roughness exponents and grain shapes |
title_full |
Roughness exponents and grain shapes |
title_fullStr |
Roughness exponents and grain shapes |
title_full_unstemmed |
Roughness exponents and grain shapes |
title_sort |
Roughness exponents and grain shapes |
author |
Oliveira, T. J. |
author_facet |
Oliveira, T. J. Reis, F. D. A. Aarao |
author_role |
author |
author2 |
Reis, F. D. A. Aarao |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Oliveira, T. J. Reis, F. D. A. Aarao |
dc.subject.pt-BR.fl_str_mv |
Roughness Exponents Grain shapes |
topic |
Roughness Exponents Grain shapes |
description |
In surfaces with grainy features, the local roughness w shows a crossover at a characteristic length rc, with roughness exponent changing from α1≈1 to a smaller α2. The grain shape, the choice of w or height-height correlation function (HHCF) C, and the procedure to calculate root-mean-square averages are shown to have remarkable effects on α1. With grains of pyramidal shape, α1 can be as low as 0.71, which is much lower than the previous prediction 0.85 for rounded grains. The same crossover is observed in the HHCF, but with initial exponent χ1≈0.5 for flat grains, while for some conical grains it may increase to χ1≈0.7. The universality class of the growth process determines the exponents α2=χ2 after the crossover, but has no effect on the initial exponents α1 and χ1, supporting the geometric interpretation of their values. For all grain shapes and different definitions of surface roughness or HHCF, we still observe that the crossover length rc is an accurate estimate of the grain size. The exponents obtained in several recent experimental works on different materials are explained by those models, with some surface images qualitatively similar to our model films. |
publishDate |
2011 |
dc.date.issued.fl_str_mv |
2011-04-20 |
dc.date.accessioned.fl_str_mv |
2018-05-03T18:05:46Z |
dc.date.available.fl_str_mv |
2018-05-03T18:05:46Z |
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.uri.fl_str_mv |
https://doi.org/10.1103/PhysRevE.83.041608 http://www.locus.ufv.br/handle/123456789/19315 |
dc.identifier.issn.none.fl_str_mv |
2470-0053 |
identifier_str_mv |
2470-0053 |
url |
https://doi.org/10.1103/PhysRevE.83.041608 http://www.locus.ufv.br/handle/123456789/19315 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartofseries.pt-BR.fl_str_mv |
Vol. 83, Issue 4, p. 1-7, April 2011 |
dc.rights.driver.fl_str_mv |
American Physical Society info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
American Physical Society |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Roughness exponents and grain shapes |
publisher.none.fl_str_mv |
Roughness exponents and grain shapes |
dc.source.none.fl_str_mv |
reponame:LOCUS Repositório Institucional da UFV instname:Universidade Federal de Viçosa (UFV) instacron:UFV |
instname_str |
Universidade Federal de Viçosa (UFV) |
instacron_str |
UFV |
institution |
UFV |
reponame_str |
LOCUS Repositório Institucional da UFV |
collection |
LOCUS Repositório Institucional da UFV |
bitstream.url.fl_str_mv |
https://locus.ufv.br//bitstream/123456789/19315/1/artigo.pdf https://locus.ufv.br//bitstream/123456789/19315/2/license.txt https://locus.ufv.br//bitstream/123456789/19315/3/artigo.pdf.jpg |
bitstream.checksum.fl_str_mv |
b5a45ebbb1983b235ace580601cf97a8 8a4605be74aa9ea9d79846c1fba20a33 e5c7a3978bc4f08a1cffe5c4a48cd67b |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV) |
repository.mail.fl_str_mv |
fabiojreis@ufv.br |
_version_ |
1801212875912511488 |