Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime

Detalhes bibliográficos
Autor(a) principal: Thomas, Gilberto Lima
Data de Publicação: 2006
Outros Autores: Almeida, Rita Maria Cunha de, Graner, François
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.
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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.
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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.
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