Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis

Detalhes bibliográficos
Autor(a) principal: Mendoza Coto, Alejandro
Data de Publicação: 2012
Outros Autores: Stariolo, Daniel Adrian
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/101886
Resumo: Two coarse-grained models which capture some universal characteristics of stripe forming systems are studied. At high temperatures, the structure factors of both models attain their maxima on a circle in reciprocal space, as a consequence of generic isotropic competing interactions. Although this is known to lead to some universal properties, we show that the phase diagrams have important differences, which are a consequence of the particular k dependence of the fluctuation spectrum in each model. The phase diagrams are computed in a mean field approximation and also after inclusion of small fluctuations, which are shown to modify drastically the mean field behavior. Observables like the modulation length and magnetization profiles are computed for the whole temperature range accessible to both models and some important differences in behavior are observed. A stripe compression modulus is computed, showing an anomalous behavior with temperature as recently reported in related models. Also, a recently proposed scaling hypothesis for modulated systems is tested and found to be valid for both models studied.
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spelling Mendoza Coto, AlejandroStariolo, Daniel Adrian2014-08-26T09:26:42Z20121539-3755http://hdl.handle.net/10183/101886000869460Two coarse-grained models which capture some universal characteristics of stripe forming systems are studied. At high temperatures, the structure factors of both models attain their maxima on a circle in reciprocal space, as a consequence of generic isotropic competing interactions. Although this is known to lead to some universal properties, we show that the phase diagrams have important differences, which are a consequence of the particular k dependence of the fluctuation spectrum in each model. The phase diagrams are computed in a mean field approximation and also after inclusion of small fluctuations, which are shown to modify drastically the mean field behavior. Observables like the modulation length and magnetization profiles are computed for the whole temperature range accessible to both models and some important differences in behavior are observed. A stripe compression modulus is computed, showing an anomalous behavior with temperature as recently reported in related models. Also, a recently proposed scaling hypothesis for modulated systems is tested and found to be valid for both models studied.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 86, no. 5 (Nov. 2012), 051130, 9 p.CompressibilidadeFlutuaçõesMagnetizaçãoDiagramas de faseCoarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesisEstrangeiroinfo: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:UFRGSORIGINAL000869460.pdf000869460.pdfTexto completo (inglês)application/pdf417158http://www.lume.ufrgs.br/bitstream/10183/101886/1/000869460.pdf09dc0463860b35a5dd62f842e08aee25MD51TEXT000869460.pdf.txt000869460.pdf.txtExtracted Texttext/plain38956http://www.lume.ufrgs.br/bitstream/10183/101886/2/000869460.pdf.txte17bf80a890aa9f1d84a8f3211694597MD52THUMBNAIL000869460.pdf.jpg000869460.pdf.jpgGenerated Thumbnailimage/jpeg2184http://www.lume.ufrgs.br/bitstream/10183/101886/3/000869460.pdf.jpg1bea63a7a8f4036634342a98dfddcd7eMD5310183/1018862018-10-22 09:30:23.817oai:www.lume.ufrgs.br:10183/101886Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-22T12:30:23Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
title Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
spellingShingle Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
Mendoza Coto, Alejandro
Compressibilidade
Flutuações
Magnetização
Diagramas de fase
title_short Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
title_full Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
title_fullStr Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
title_full_unstemmed Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
title_sort Coarse-grained models of stripe forming systems : phase diagrams, anomalies, and scaling hypothesis
author Mendoza Coto, Alejandro
author_facet Mendoza Coto, Alejandro
Stariolo, Daniel Adrian
author_role author
author2 Stariolo, Daniel Adrian
author2_role author
dc.contributor.author.fl_str_mv Mendoza Coto, Alejandro
Stariolo, Daniel Adrian
dc.subject.por.fl_str_mv Compressibilidade
Flutuações
Magnetização
Diagramas de fase
topic Compressibilidade
Flutuações
Magnetização
Diagramas de fase
description Two coarse-grained models which capture some universal characteristics of stripe forming systems are studied. At high temperatures, the structure factors of both models attain their maxima on a circle in reciprocal space, as a consequence of generic isotropic competing interactions. Although this is known to lead to some universal properties, we show that the phase diagrams have important differences, which are a consequence of the particular k dependence of the fluctuation spectrum in each model. The phase diagrams are computed in a mean field approximation and also after inclusion of small fluctuations, which are shown to modify drastically the mean field behavior. Observables like the modulation length and magnetization profiles are computed for the whole temperature range accessible to both models and some important differences in behavior are observed. A stripe compression modulus is computed, showing an anomalous behavior with temperature as recently reported in related models. Also, a recently proposed scaling hypothesis for modulated systems is tested and found to be valid for both models studied.
publishDate 2012
dc.date.issued.fl_str_mv 2012
dc.date.accessioned.fl_str_mv 2014-08-26T09:26:42Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/101886
dc.identifier.issn.pt_BR.fl_str_mv 1539-3755
dc.identifier.nrb.pt_BR.fl_str_mv 000869460
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 86, no. 5 (Nov. 2012), 051130, 9 p.
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