Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime
Autor(a) principal: | |
---|---|
Data de Publicação: | 2006 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/101617 |
Resumo: | We perform extensive Potts model simulations of three-dimensional dry foam coarsening. Starting with 2.25 million bubbles, we have enough statistics to fulfill the three constraints required for the study of statistical scale invariance: first, enough time for the transient to end and reach the scaling state; then, enough time in the scaling state itself to characterize its properties; and finally, enough bubbles at the end to avoid spurious finite size effects. In the scaling state, we find that the average surface area of the bubbles increases linearly with time. The geometry bubble shape and size and topology number of faces and edges , as well as their correlations, become constant in time. Their distributions agree with the data of the literature. We present an analytical model universal, up to parameters extracted from the simulations for a disordered foam minimizing its free energy, which agrees with the simulations. We discuss the limitations of the simulations and of the model. |
id |
UFRGS-2_3dc30325cb182b541005e9be1a547276 |
---|---|
oai_identifier_str |
oai:www.lume.ufrgs.br:10183/101617 |
network_acronym_str |
UFRGS-2 |
network_name_str |
Repositório Institucional da UFRGS |
repository_id_str |
|
spelling |
Thomas, Gilberto LimaAlmeida, Rita Maria Cunha deGraner, François2014-08-22T02:11:08Z20061539-3755http://hdl.handle.net/10183/101617000556681We perform extensive Potts model simulations of three-dimensional dry foam coarsening. Starting with 2.25 million bubbles, we have enough statistics to fulfill the three constraints required for the study of statistical scale invariance: first, enough time for the transient to end and reach the scaling state; then, enough time in the scaling state itself to characterize its properties; and finally, enough bubbles at the end to avoid spurious finite size effects. In the scaling state, we find that the average surface area of the bubbles increases linearly with time. The geometry bubble shape and size and topology number of faces and edges , as well as their correlations, become constant in time. Their distributions agree with the data of the literature. We present an analytical model universal, up to parameters extracted from the simulations for a disordered foam minimizing its free energy, which agrees with the simulations. We discuss the limitations of the simulations and of the model.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vo. 74, no. 2 (Aug. 2006), 021407 18p.BolhasCrescimento de cristaisEspumasModelo de PottsCoarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regimeEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000556681.pdf000556681.pdfTexto completo (inglês)application/pdf1269543http://www.lume.ufrgs.br/bitstream/10183/101617/1/000556681.pdff241af9a1d463d36e87e169af6908b30MD51TEXT000556681.pdf.txt000556681.pdf.txtExtracted Texttext/plain72726http://www.lume.ufrgs.br/bitstream/10183/101617/2/000556681.pdf.txt35c1f481c279607b6cf1870593d80990MD52THUMBNAIL000556681.pdf.jpg000556681.pdf.jpgGenerated Thumbnailimage/jpeg2072http://www.lume.ufrgs.br/bitstream/10183/101617/3/000556681.pdf.jpg63f372de3647a5ddbceadf06e633679cMD5310183/1016172023-08-11 03:53:18.632585oai:www.lume.ufrgs.br:10183/101617Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-11T06:53:18Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime |
title |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime |
spellingShingle |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime Thomas, Gilberto Lima Bolhas Crescimento de cristais Espumas Modelo de Potts |
title_short |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime |
title_full |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime |
title_fullStr |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime |
title_full_unstemmed |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime |
title_sort |
Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime |
author |
Thomas, Gilberto Lima |
author_facet |
Thomas, Gilberto Lima Almeida, Rita Maria Cunha de Graner, François |
author_role |
author |
author2 |
Almeida, Rita Maria Cunha de Graner, François |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Thomas, Gilberto Lima Almeida, Rita Maria Cunha de Graner, François |
dc.subject.por.fl_str_mv |
Bolhas Crescimento de cristais Espumas Modelo de Potts |
topic |
Bolhas Crescimento de cristais Espumas Modelo de Potts |
description |
We perform extensive Potts model simulations of three-dimensional dry foam coarsening. Starting with 2.25 million bubbles, we have enough statistics to fulfill the three constraints required for the study of statistical scale invariance: first, enough time for the transient to end and reach the scaling state; then, enough time in the scaling state itself to characterize its properties; and finally, enough bubbles at the end to avoid spurious finite size effects. In the scaling state, we find that the average surface area of the bubbles increases linearly with time. The geometry bubble shape and size and topology number of faces and edges , as well as their correlations, become constant in time. Their distributions agree with the data of the literature. We present an analytical model universal, up to parameters extracted from the simulations for a disordered foam minimizing its free energy, which agrees with the simulations. We discuss the limitations of the simulations and of the model. |
publishDate |
2006 |
dc.date.issued.fl_str_mv |
2006 |
dc.date.accessioned.fl_str_mv |
2014-08-22T02:11:08Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/101617 |
dc.identifier.issn.pt_BR.fl_str_mv |
1539-3755 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000556681 |
identifier_str_mv |
1539-3755 000556681 |
url |
http://hdl.handle.net/10183/101617 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. E, Statistical, nonlinear, and soft matter physics. Vo. 74, no. 2 (Aug. 2006), 021407 18p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRGS instname:Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
instname_str |
Universidade Federal do Rio Grande do Sul (UFRGS) |
instacron_str |
UFRGS |
institution |
UFRGS |
reponame_str |
Repositório Institucional da UFRGS |
collection |
Repositório Institucional da UFRGS |
bitstream.url.fl_str_mv |
http://www.lume.ufrgs.br/bitstream/10183/101617/1/000556681.pdf http://www.lume.ufrgs.br/bitstream/10183/101617/2/000556681.pdf.txt http://www.lume.ufrgs.br/bitstream/10183/101617/3/000556681.pdf.jpg |
bitstream.checksum.fl_str_mv |
f241af9a1d463d36e87e169af6908b30 35c1f481c279607b6cf1870593d80990 63f372de3647a5ddbceadf06e633679c |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS) |
repository.mail.fl_str_mv |
|
_version_ |
1815447555584032768 |