A comparative study of the dynamic critical behavior of the four-state Potts like models.
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFOP |
Texto Completo: | http://www.repositorio.ufop.br/handle/123456789/1878 |
Resumo: | We investigate the short-time critical dynamics of the Baxter–Wu (BW) and n=3 Turban (3TU) models to estimate their global persistence exponent θg. We conclude that this new dynamical exponent can be useful in detecting differences between the critical behavior of these models which are very difficult to obtain in usual simulations. In addition, we estimate again the dynamical exponents of the four-state Potts (FSP) model in order to compare them with results previously obtained for the BW and 3TU models and to decide between two sets of estimates presented in the current literature. We also revisit the short-time dynamics of the 3TU model in order to check if, as already found for the FSP model, the anomalous dimension of the initial magnetization x0 could be equal to zero. |
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Arashiro, EveraldoFernandes, Henrique AlmeidaFelício, José Roberto Drugowich de2012-11-29T11:55:05Z2012-11-29T11:55:05Z2009ARASHIRO, E.; FERNANDES, H. A.; FELÍCIO, J. R. D. de. A comparative study of the dynamic critical behavior of the four-state Potts like models. Physica A: Statistical Mechanics and its Applications, v. 388, n. 20, p. 4379-4386, out. 2009. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437109005287>. Acesso em: 29 nov. 2012.03784371http://www.repositorio.ufop.br/handle/123456789/1878We investigate the short-time critical dynamics of the Baxter–Wu (BW) and n=3 Turban (3TU) models to estimate their global persistence exponent θg. We conclude that this new dynamical exponent can be useful in detecting differences between the critical behavior of these models which are very difficult to obtain in usual simulations. In addition, we estimate again the dynamical exponents of the four-state Potts (FSP) model in order to compare them with results previously obtained for the BW and 3TU models and to decide between two sets of estimates presented in the current literature. We also revisit the short-time dynamics of the 3TU model in order to check if, as already found for the FSP model, the anomalous dimension of the initial magnetization x0 could be equal to zero.Out-of-equilibrium systemsUniversality classNon-Markovian processMonte Carlo simulationsDynamic critical exponentsA comparative study of the dynamic critical behavior of the four-state Potts like models.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleO periódico Physica A concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3343010464469.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFOPinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://www.repositorio.ufop.br/bitstream/123456789/1878/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALARTIGO_ComparativeStudyDynamic.pdfARTIGO_ComparativeStudyDynamic.pdfapplication/pdf519387http://www.repositorio.ufop.br/bitstream/123456789/1878/1/ARTIGO_ComparativeStudyDynamic.pdf3259a4e5512f59fa06032692250884feMD51123456789/18782019-03-14 13:34:18.399oai:localhost: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Repositório InstitucionalPUBhttp://www.repositorio.ufop.br/oai/requestrepositorio@ufop.edu.bropendoar:32332019-03-14T17:34:18Repositório Institucional da UFOP - Universidade Federal de Ouro Preto (UFOP)false |
dc.title.pt_BR.fl_str_mv |
A comparative study of the dynamic critical behavior of the four-state Potts like models. |
title |
A comparative study of the dynamic critical behavior of the four-state Potts like models. |
spellingShingle |
A comparative study of the dynamic critical behavior of the four-state Potts like models. Arashiro, Everaldo Out-of-equilibrium systems Universality class Non-Markovian process Monte Carlo simulations Dynamic critical exponents |
title_short |
A comparative study of the dynamic critical behavior of the four-state Potts like models. |
title_full |
A comparative study of the dynamic critical behavior of the four-state Potts like models. |
title_fullStr |
A comparative study of the dynamic critical behavior of the four-state Potts like models. |
title_full_unstemmed |
A comparative study of the dynamic critical behavior of the four-state Potts like models. |
title_sort |
A comparative study of the dynamic critical behavior of the four-state Potts like models. |
author |
Arashiro, Everaldo |
author_facet |
Arashiro, Everaldo Fernandes, Henrique Almeida Felício, José Roberto Drugowich de |
author_role |
author |
author2 |
Fernandes, Henrique Almeida Felício, José Roberto Drugowich de |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Arashiro, Everaldo Fernandes, Henrique Almeida Felício, José Roberto Drugowich de |
dc.subject.por.fl_str_mv |
Out-of-equilibrium systems Universality class Non-Markovian process Monte Carlo simulations Dynamic critical exponents |
topic |
Out-of-equilibrium systems Universality class Non-Markovian process Monte Carlo simulations Dynamic critical exponents |
description |
We investigate the short-time critical dynamics of the Baxter–Wu (BW) and n=3 Turban (3TU) models to estimate their global persistence exponent θg. We conclude that this new dynamical exponent can be useful in detecting differences between the critical behavior of these models which are very difficult to obtain in usual simulations. In addition, we estimate again the dynamical exponents of the four-state Potts (FSP) model in order to compare them with results previously obtained for the BW and 3TU models and to decide between two sets of estimates presented in the current literature. We also revisit the short-time dynamics of the 3TU model in order to check if, as already found for the FSP model, the anomalous dimension of the initial magnetization x0 could be equal to zero. |
publishDate |
2009 |
dc.date.issued.fl_str_mv |
2009 |
dc.date.accessioned.fl_str_mv |
2012-11-29T11:55:05Z |
dc.date.available.fl_str_mv |
2012-11-29T11:55:05Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
ARASHIRO, E.; FERNANDES, H. A.; FELÍCIO, J. R. D. de. A comparative study of the dynamic critical behavior of the four-state Potts like models. Physica A: Statistical Mechanics and its Applications, v. 388, n. 20, p. 4379-4386, out. 2009. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437109005287>. Acesso em: 29 nov. 2012. |
dc.identifier.uri.fl_str_mv |
http://www.repositorio.ufop.br/handle/123456789/1878 |
dc.identifier.issn.none.fl_str_mv |
03784371 |
identifier_str_mv |
ARASHIRO, E.; FERNANDES, H. A.; FELÍCIO, J. R. D. de. A comparative study of the dynamic critical behavior of the four-state Potts like models. Physica A: Statistical Mechanics and its Applications, v. 388, n. 20, p. 4379-4386, out. 2009. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0378437109005287>. Acesso em: 29 nov. 2012. 03784371 |
url |
http://www.repositorio.ufop.br/handle/123456789/1878 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFOP instname:Universidade Federal de Ouro Preto (UFOP) instacron:UFOP |
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Universidade Federal de Ouro Preto (UFOP) |
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UFOP |
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UFOP |
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Repositório Institucional da UFOP |
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Repositório Institucional da UFOP |
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repositorio@ufop.edu.br |
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