Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/107214 |
Resumo: | We have investigated the dynamic critical behavior of the two-dimensional Z(5)-symmetric spin model by using short-time Monte Carlo (MC) simulations. We have obtained estimates of some critical points in its rich phase diagram and included, among the usual critical lines the study of first-order (weak) transition by looking into the order-disorder phase transition. In addition, we also investigated the soft-disorder phase transition by considering empiric methods. A study of the behavior of β/νz along the self-dual critical line has been performed and special attention has been devoted to the critical bifurcation point, or Fateev-Zamolodchikov (FZ) point. First, by using a refinement method and taking into account simulations out of equilibrium, we were able to localize parameters of this point. In a second part of our study, we turned our attention to the behavior of the model at the early stage of its time evolution in order to find the dynamic critical exponent z as well as the static critical exponents β and ν of the FZ point on square lattices. The values of the static critical exponents and parameters are in good agreement with the exact results, and the dynamic critical exponent z ≈ 2.28 very close to the four-state Potts model (z ≈ 2.29). |
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Silva, Roberto daFernandes, Henrique AlmeidaFelício, José Roberto Drugovich de2014-11-20T02:16:19Z20141539-3755http://hdl.handle.net/10183/107214000940945We have investigated the dynamic critical behavior of the two-dimensional Z(5)-symmetric spin model by using short-time Monte Carlo (MC) simulations. We have obtained estimates of some critical points in its rich phase diagram and included, among the usual critical lines the study of first-order (weak) transition by looking into the order-disorder phase transition. In addition, we also investigated the soft-disorder phase transition by considering empiric methods. A study of the behavior of β/νz along the self-dual critical line has been performed and special attention has been devoted to the critical bifurcation point, or Fateev-Zamolodchikov (FZ) point. First, by using a refinement method and taking into account simulations out of equilibrium, we were able to localize parameters of this point. In a second part of our study, we turned our attention to the behavior of the model at the early stage of its time evolution in order to find the dynamic critical exponent z as well as the static critical exponents β and ν of the FZ point on square lattices. The values of the static critical exponents and parameters are in good agreement with the exact results, and the dynamic critical exponent z ≈ 2.28 very close to the four-state Potts model (z ≈ 2.29).application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 90, no. 4 (Oct. 2014), 042101, 10 p.Método de Monte CarloTransformações de faseMecânica estatísticaBifurcaçãoPontos criticosNonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric modelEstrangeiroinfo: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:UFRGSORIGINAL000940945.pdf000940945.pdfTexto completo (inglês)application/pdf632345http://www.lume.ufrgs.br/bitstream/10183/107214/1/000940945.pdf987b13f14de3fd706234208b661f95eeMD51TEXT000940945.pdf.txt000940945.pdf.txtExtracted Texttext/plain49604http://www.lume.ufrgs.br/bitstream/10183/107214/2/000940945.pdf.txt1bfe7fc1e74503f4e6aa8b8ba7b1b458MD52THUMBNAIL000940945.pdf.jpg000940945.pdf.jpgGenerated Thumbnailimage/jpeg2122http://www.lume.ufrgs.br/bitstream/10183/107214/3/000940945.pdf.jpg3b8e5fa582e4c2632433fda9df0b2b6aMD5310183/1072142018-10-22 08:04:57.928oai:www.lume.ufrgs.br:10183/107214Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-22T11:04:57Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model |
title |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model |
spellingShingle |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model Silva, Roberto da Método de Monte Carlo Transformações de fase Mecânica estatística Bifurcação Pontos criticos |
title_short |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model |
title_full |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model |
title_fullStr |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model |
title_full_unstemmed |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model |
title_sort |
Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model |
author |
Silva, Roberto da |
author_facet |
Silva, Roberto da Fernandes, Henrique Almeida Felício, José Roberto Drugovich de |
author_role |
author |
author2 |
Fernandes, Henrique Almeida Felício, José Roberto Drugovich de |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Silva, Roberto da Fernandes, Henrique Almeida Felício, José Roberto Drugovich de |
dc.subject.por.fl_str_mv |
Método de Monte Carlo Transformações de fase Mecânica estatística Bifurcação Pontos criticos |
topic |
Método de Monte Carlo Transformações de fase Mecânica estatística Bifurcação Pontos criticos |
description |
We have investigated the dynamic critical behavior of the two-dimensional Z(5)-symmetric spin model by using short-time Monte Carlo (MC) simulations. We have obtained estimates of some critical points in its rich phase diagram and included, among the usual critical lines the study of first-order (weak) transition by looking into the order-disorder phase transition. In addition, we also investigated the soft-disorder phase transition by considering empiric methods. A study of the behavior of β/νz along the self-dual critical line has been performed and special attention has been devoted to the critical bifurcation point, or Fateev-Zamolodchikov (FZ) point. First, by using a refinement method and taking into account simulations out of equilibrium, we were able to localize parameters of this point. In a second part of our study, we turned our attention to the behavior of the model at the early stage of its time evolution in order to find the dynamic critical exponent z as well as the static critical exponents β and ν of the FZ point on square lattices. The values of the static critical exponents and parameters are in good agreement with the exact results, and the dynamic critical exponent z ≈ 2.28 very close to the four-state Potts model (z ≈ 2.29). |
publishDate |
2014 |
dc.date.accessioned.fl_str_mv |
2014-11-20T02:16:19Z |
dc.date.issued.fl_str_mv |
2014 |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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1539-3755 |
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000940945 |
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eng |
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eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 90, no. 4 (Oct. 2014), 042101, 10 p. |
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openAccess |
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