Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/168954 |
Resumo: | We investigate the short-time universal behavior of the two-dimensional Ashkin-Teller model at the Baxter line by performing time-dependent Monte Carlo simulations. First, as preparatory results, we obtain the critical parameters by searching the optimal power-law decay of the magnetization. Thus, the dynamic critical exponents θm and θp, related to the magnetic and electric order parameters, as well as the persistence exponent θg, are estimated using heat-bath Monte Carlo simulations. In addition, we estimate the dynamic exponent z and the static critical exponents β and ν for both order parameters. We propose a refined method to estimate the static exponents that considers two different averages: one that combines an internal average using several seeds with another, which is taken over temporal variations in the power laws.Moreover, we also performed the bootstrapping method for a complementary analysis. Our results show that the ratio β/ν exhibits universal behavior along the critical line corroborating the conjecture for both magnetization and polarization. |
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Fernandes, Henrique AlmeidaSilva, Roberto daCaparica, Álvaro de AlmeidaFelício, José Roberto Drugovich de2017-09-28T02:27:42Z20171539-3755http://hdl.handle.net/10183/168954001025549We investigate the short-time universal behavior of the two-dimensional Ashkin-Teller model at the Baxter line by performing time-dependent Monte Carlo simulations. First, as preparatory results, we obtain the critical parameters by searching the optimal power-law decay of the magnetization. Thus, the dynamic critical exponents θm and θp, related to the magnetic and electric order parameters, as well as the persistence exponent θg, are estimated using heat-bath Monte Carlo simulations. In addition, we estimate the dynamic exponent z and the static critical exponents β and ν for both order parameters. We propose a refined method to estimate the static exponents that considers two different averages: one that combines an internal average using several seeds with another, which is taken over temporal variations in the power laws.Moreover, we also performed the bootstrapping method for a complementary analysis. Our results show that the ratio β/ν exhibits universal behavior along the critical line corroborating the conjecture for both magnetization and polarization.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Melville. Vol. 95, no. 4 (Apr. 2017), 042105, 14 p.Método de Monte CarloPontos criticosModelo de isingNonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter lineEstrangeiroinfo: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:UFRGSORIGINAL001025549.pdf001025549.pdfTexto completo (inglês)application/pdf1658675http://www.lume.ufrgs.br/bitstream/10183/168954/1/001025549.pdff6e6aea1ac5eace69fc58faa0a14a12fMD51TEXT001025549.pdf.txt001025549.pdf.txtExtracted Texttext/plain60040http://www.lume.ufrgs.br/bitstream/10183/168954/2/001025549.pdf.txt771a1e3b38a0999b5a1e6e323032efafMD52THUMBNAIL001025549.pdf.jpg001025549.pdf.jpgGenerated Thumbnailimage/jpeg2156http://www.lume.ufrgs.br/bitstream/10183/168954/3/001025549.pdf.jpg26e6d98b05df0d160ba2327ebf49c978MD5310183/1689542018-10-29 08:01:20.842oai:www.lume.ufrgs.br:10183/168954Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-10-29T11:01:20Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line |
title |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line |
spellingShingle |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line Fernandes, Henrique Almeida Método de Monte Carlo Pontos criticos Modelo de ising |
title_short |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line |
title_full |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line |
title_fullStr |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line |
title_full_unstemmed |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line |
title_sort |
Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line |
author |
Fernandes, Henrique Almeida |
author_facet |
Fernandes, Henrique Almeida Silva, Roberto da Caparica, Álvaro de Almeida Felício, José Roberto Drugovich de |
author_role |
author |
author2 |
Silva, Roberto da Caparica, Álvaro de Almeida Felício, José Roberto Drugovich de |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Fernandes, Henrique Almeida Silva, Roberto da Caparica, Álvaro de Almeida Felício, José Roberto Drugovich de |
dc.subject.por.fl_str_mv |
Método de Monte Carlo Pontos criticos Modelo de ising |
topic |
Método de Monte Carlo Pontos criticos Modelo de ising |
description |
We investigate the short-time universal behavior of the two-dimensional Ashkin-Teller model at the Baxter line by performing time-dependent Monte Carlo simulations. First, as preparatory results, we obtain the critical parameters by searching the optimal power-law decay of the magnetization. Thus, the dynamic critical exponents θm and θp, related to the magnetic and electric order parameters, as well as the persistence exponent θg, are estimated using heat-bath Monte Carlo simulations. In addition, we estimate the dynamic exponent z and the static critical exponents β and ν for both order parameters. We propose a refined method to estimate the static exponents that considers two different averages: one that combines an internal average using several seeds with another, which is taken over temporal variations in the power laws.Moreover, we also performed the bootstrapping method for a complementary analysis. Our results show that the ratio β/ν exhibits universal behavior along the critical line corroborating the conjecture for both magnetization and polarization. |
publishDate |
2017 |
dc.date.accessioned.fl_str_mv |
2017-09-28T02:27:42Z |
dc.date.issued.fl_str_mv |
2017 |
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 |
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publishedVersion |
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http://hdl.handle.net/10183/168954 |
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1539-3755 |
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001025549 |
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http://hdl.handle.net/10183/168954 |
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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. Melville. Vol. 95, no. 4 (Apr. 2017), 042105, 14 p. |
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info:eu-repo/semantics/openAccess |
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openAccess |
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