Domain-size heterogeneity in the Ising model : geometrical and thermal transition
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/118229 |
Resumo: | A measure of cluster size heterogeneity (H), introduced by Lee et al. [Phys. Rev. E 84, 020101 (2011)] in the context of explosive percolation, was recently applied to random percolation and to domains of parallel spins in the Ising and Potts models. It is defined as the average number of different domain sizes in a given configuration and a new exponent was introduced to explain its scaling with the size of the system. In thermal spin models, however, physical clusters take into account the temperature-dependent correlation between neighboring spins and encode the critical properties of the phase transition.We here extend the measure of H to these clusters and, moreover, present new results for the geometric domains for both d = 2 and 3. We show that the heterogeneity associated with geometric domains has a previously unnoticed double peak, thus being able to detect both the thermal and percolative transitions. An alternative interpretation for the scaling of H that does not introduce a new exponent is also proposed. |
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Rocha, André Rodrigues de laOliveira, Paulo Murilo Castro deArenzon, Jeferson Jacob2015-06-26T02:00:04Z20151539-3755http://hdl.handle.net/10183/118229000968836A measure of cluster size heterogeneity (H), introduced by Lee et al. [Phys. Rev. E 84, 020101 (2011)] in the context of explosive percolation, was recently applied to random percolation and to domains of parallel spins in the Ising and Potts models. It is defined as the average number of different domain sizes in a given configuration and a new exponent was introduced to explain its scaling with the size of the system. In thermal spin models, however, physical clusters take into account the temperature-dependent correlation between neighboring spins and encode the critical properties of the phase transition.We here extend the measure of H to these clusters and, moreover, present new results for the geometric domains for both d = 2 and 3. We show that the heterogeneity associated with geometric domains has a previously unnoticed double peak, thus being able to detect both the thermal and percolative transitions. An alternative interpretation for the scaling of H that does not introduce a new exponent is also proposed.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 91, no. 4 (Apr. 2015), 042113, 6 p.Processos randômicosModelo de isingModelo de PottsPercolaçãoDomain-size heterogeneity in the Ising model : geometrical and thermal transitionEstrangeiroinfo: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:UFRGSORIGINAL000968836.pdf000968836.pdfTexto completoapplication/pdf362220http://www.lume.ufrgs.br/bitstream/10183/118229/1/000968836.pdf1ae80f80ccfc2c4b8ac576274be9d588MD51TEXT000968836.pdf.txt000968836.pdf.txtExtracted Texttext/plain32844http://www.lume.ufrgs.br/bitstream/10183/118229/2/000968836.pdf.txt970834e1700528589599e03ee634c213MD52THUMBNAIL000968836.pdf.jpg000968836.pdf.jpgGenerated Thumbnailimage/jpeg2089http://www.lume.ufrgs.br/bitstream/10183/118229/3/000968836.pdf.jpgb8d65bbc0a84b0c20832bc6a52059db0MD5310183/1182292024-03-28 06:25:26.787534oai:www.lume.ufrgs.br:10183/118229Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-03-28T09:25:26Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition |
title |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition |
spellingShingle |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition Rocha, André Rodrigues de la Processos randômicos Modelo de ising Modelo de Potts Percolação |
title_short |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition |
title_full |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition |
title_fullStr |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition |
title_full_unstemmed |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition |
title_sort |
Domain-size heterogeneity in the Ising model : geometrical and thermal transition |
author |
Rocha, André Rodrigues de la |
author_facet |
Rocha, André Rodrigues de la Oliveira, Paulo Murilo Castro de Arenzon, Jeferson Jacob |
author_role |
author |
author2 |
Oliveira, Paulo Murilo Castro de Arenzon, Jeferson Jacob |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Rocha, André Rodrigues de la Oliveira, Paulo Murilo Castro de Arenzon, Jeferson Jacob |
dc.subject.por.fl_str_mv |
Processos randômicos Modelo de ising Modelo de Potts Percolação |
topic |
Processos randômicos Modelo de ising Modelo de Potts Percolação |
description |
A measure of cluster size heterogeneity (H), introduced by Lee et al. [Phys. Rev. E 84, 020101 (2011)] in the context of explosive percolation, was recently applied to random percolation and to domains of parallel spins in the Ising and Potts models. It is defined as the average number of different domain sizes in a given configuration and a new exponent was introduced to explain its scaling with the size of the system. In thermal spin models, however, physical clusters take into account the temperature-dependent correlation between neighboring spins and encode the critical properties of the phase transition.We here extend the measure of H to these clusters and, moreover, present new results for the geometric domains for both d = 2 and 3. We show that the heterogeneity associated with geometric domains has a previously unnoticed double peak, thus being able to detect both the thermal and percolative transitions. An alternative interpretation for the scaling of H that does not introduce a new exponent is also proposed. |
publishDate |
2015 |
dc.date.accessioned.fl_str_mv |
2015-06-26T02:00:04Z |
dc.date.issued.fl_str_mv |
2015 |
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/10183/118229 |
dc.identifier.issn.pt_BR.fl_str_mv |
1539-3755 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000968836 |
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1539-3755 000968836 |
url |
http://hdl.handle.net/10183/118229 |
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. Vol. 91, no. 4 (Apr. 2015), 042113, 6 p. |
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info:eu-repo/semantics/openAccess |
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openAccess |
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