Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model

Detalhes bibliográficos
Autor(a) principal: Piolho, Francisco de Assis Pereira
Data de Publicação: 2008
Outros Autores: Costa, Francisco Alexandre da, Bezerra, Claudionor Gomes, Mariz, Ananias Monteiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29247
Resumo: In the present work we study the critical properties of the ferromagnetic three-color Ashkin–Teller model (3AT) by means of a Migdal–Kadanoff renormalization group approach on a diamond-like hierarchical lattice. The analysis of the fixed points and flux diagram of the recursion relations is used to determine the corresponding phase diagram (including its symmetry properties) and critical exponents. Our numerical results show the presence of four universality classes, three of them are associated to the Potts model with , 4 and 6 states. Finally, a connection between our findings and some known results from the literature is presented
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spelling Piolho, Francisco de Assis PereiraCosta, Francisco Alexandre daBezerra, Claudionor GomesMariz, Ananias Monteiro2020-06-15T13:12:38Z2020-06-15T13:12:38Z2008-03-01PIOLHO, F ; DACOSTA, F ; BEZERRA, C. G. ; MARIZ, Ananias Monteiro . Phase diagram of the two-dimensional ferromagnetic three-color Ashkin Teller model. Physica. A, v. 387, p. 1538-1544, 2008. Disponível em: https://www.sciencedirect.com/science/article/pii/S0378437107012113?via%3Dihub. Acesso em: 08 jun 2020. https://doi.org/10.1016/j.physa.2007.11.009.https://repositorio.ufrn.br/jspui/handle/123456789/2924710.1016/j.physa.2007.11.009ElsevierIsing modelsAshkin–TellerRenormalization groupPhase transitionsPhasePhase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller modelinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn the present work we study the critical properties of the ferromagnetic three-color Ashkin–Teller model (3AT) by means of a Migdal–Kadanoff renormalization group approach on a diamond-like hierarchical lattice. The analysis of the fixed points and flux diagram of the recursion relations is used to determine the corresponding phase diagram (including its symmetry properties) and critical exponents. Our numerical results show the presence of four universality classes, three of them are associated to the Potts model with , 4 and 6 states. Finally, a connection between our findings and some known results from the literature is presentedengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALPhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdfPhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdfapplication/pdf371686https://repositorio.ufrn.br/bitstream/123456789/29247/6/PhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdfceaa2f20c5a8c20a71e3647e46e5d196MD56LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29247/7/license.txte9597aa2854d128fd968be5edc8a28d9MD57TEXTPhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdf.txtPhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdf.txtExtracted texttext/plain21966https://repositorio.ufrn.br/bitstream/123456789/29247/8/PhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdf.txt90ede98a192fbb6eef68a163004936caMD58THUMBNAILPhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdf.jpgPhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdf.jpgGenerated Thumbnailimage/jpeg1763https://repositorio.ufrn.br/bitstream/123456789/29247/9/PhaseTwo-dimensionalFerromagnetic_bezerra_2008.pdf.jpg750a3f7947ed495d6d792426c3be5b4dMD59123456789/292472021-04-06 18:33:36.103oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2021-04-06T21:33:36Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
spellingShingle Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
Piolho, Francisco de Assis Pereira
Ising models
Ashkin–Teller
Renormalization group
Phase transitions
Phase
title_short Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_full Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_fullStr Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_full_unstemmed Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
title_sort Phase diagram of the two-dimensional ferromagnetic three-color Ashkin–Teller model
author Piolho, Francisco de Assis Pereira
author_facet Piolho, Francisco de Assis Pereira
Costa, Francisco Alexandre da
Bezerra, Claudionor Gomes
Mariz, Ananias Monteiro
author_role author
author2 Costa, Francisco Alexandre da
Bezerra, Claudionor Gomes
Mariz, Ananias Monteiro
author2_role author
author
author
dc.contributor.author.fl_str_mv Piolho, Francisco de Assis Pereira
Costa, Francisco Alexandre da
Bezerra, Claudionor Gomes
Mariz, Ananias Monteiro
dc.subject.por.fl_str_mv Ising models
Ashkin–Teller
Renormalization group
Phase transitions
Phase
topic Ising models
Ashkin–Teller
Renormalization group
Phase transitions
Phase
description In the present work we study the critical properties of the ferromagnetic three-color Ashkin–Teller model (3AT) by means of a Migdal–Kadanoff renormalization group approach on a diamond-like hierarchical lattice. The analysis of the fixed points and flux diagram of the recursion relations is used to determine the corresponding phase diagram (including its symmetry properties) and critical exponents. Our numerical results show the presence of four universality classes, three of them are associated to the Potts model with , 4 and 6 states. Finally, a connection between our findings and some known results from the literature is presented
publishDate 2008
dc.date.issued.fl_str_mv 2008-03-01
dc.date.accessioned.fl_str_mv 2020-06-15T13:12:38Z
dc.date.available.fl_str_mv 2020-06-15T13:12:38Z
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 PIOLHO, F ; DACOSTA, F ; BEZERRA, C. G. ; MARIZ, Ananias Monteiro . Phase diagram of the two-dimensional ferromagnetic three-color Ashkin Teller model. Physica. A, v. 387, p. 1538-1544, 2008. Disponível em: https://www.sciencedirect.com/science/article/pii/S0378437107012113?via%3Dihub. Acesso em: 08 jun 2020. https://doi.org/10.1016/j.physa.2007.11.009.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/jspui/handle/123456789/29247
dc.identifier.doi.none.fl_str_mv 10.1016/j.physa.2007.11.009
identifier_str_mv PIOLHO, F ; DACOSTA, F ; BEZERRA, C. G. ; MARIZ, Ananias Monteiro . Phase diagram of the two-dimensional ferromagnetic three-color Ashkin Teller model. Physica. A, v. 387, p. 1538-1544, 2008. Disponível em: https://www.sciencedirect.com/science/article/pii/S0378437107012113?via%3Dihub. Acesso em: 08 jun 2020. https://doi.org/10.1016/j.physa.2007.11.009.
10.1016/j.physa.2007.11.009
url https://repositorio.ufrn.br/jspui/handle/123456789/29247
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.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
instacron:UFRN
instname_str Universidade Federal do Rio Grande do Norte (UFRN)
instacron_str UFRN
institution UFRN
reponame_str Repositório Institucional da UFRN
collection Repositório Institucional da UFRN
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