Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions

Detalhes bibliográficos
Autor(a) principal: Haddad, T. A. S.
Data de Publicação: 2000
Outros Autores: Pinho, Suani Tavares Rubim de, Salinas, S. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/6929
Resumo: p. 741/744
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spelling Haddad, T. A. S.Pinho, Suani Tavares Rubim deSalinas, S. R.Haddad, T. A. S.Pinho, Suani Tavares Rubim deSalinas, S. R.2012-10-10T19:34:36Z2012-10-10T19:34:36Z2000http://www.repositorio.ufba.br/ri/handle/ri/6929v. 30, n. 4p. 741/744We review recent investigations of the critical behavior of ferromagnetic q-state Potts models on a class of hierarchical lattices, with exchange interactions according to some deterministic but aperiodic substitution rules. The problem is formulated in terms of exact recursion relations on a suitable parameter space. The analysis of the xed points of these equations leads to a criterion to gauge the relevance of the aperiodic geometric uctuations. For irrelevant uctuations, the critical behavior remains unchanged with respect to the underlying uniform models. In the presence of relevant uctuations, a non-trivial symmetric xed point, associated with the critical behavior of the uniform model, becomes fully unstable, and there appears a two-cycle of the recursion relations. A scaling analysis, supported by direct numerical thermodynamical calculations, shows the existence of a novel critical universality class associated with relevant geometric uctuations.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2012-10-10T19:34:36Z No. of bitstreams: 1 Haddad, T. A. S..pdf: 165384 bytes, checksum: 17cd8c54d6dbebc97c0d6dccd528aeec (MD5)Made available in DSpace on 2012-10-10T19:34:36Z (GMT). No. of bitstreams: 1 Haddad, T. A. S..pdf: 165384 bytes, checksum: 17cd8c54d6dbebc97c0d6dccd528aeec (MD5) Previous issue date: 2000SalvadorBrazilian Journal of PhysicsCritical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange InteractionsBrazilian Journal of Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAinfo:eu-repo/semantics/openAccessORIGINALHaddad, T. A. S..pdfHaddad, T. A. S..pdfapplication/pdf165384https://repositorio.ufba.br/bitstream/ri/6929/1/Haddad%2c%20T.%20A.%20S..pdf17cd8c54d6dbebc97c0d6dccd528aeecMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/6929/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTHaddad, T. A. S..pdf.txtHaddad, T. A. S..pdf.txtExtracted texttext/plain16766https://repositorio.ufba.br/bitstream/ri/6929/3/Haddad%2c%20T.%20A.%20S..pdf.txtee89a7b15bedfec5fb5009f57a648f93MD53ri/69292022-07-05 14:03:45.824oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:45Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
dc.title.alternative.pt_BR.fl_str_mv Brazilian Journal of Physics
title Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
spellingShingle Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
Haddad, T. A. S.
title_short Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
title_full Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
title_fullStr Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
title_full_unstemmed Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
title_sort Critical Behavior of Ferromagnetic Spin Models with Aperiodic Exchange Interactions
author Haddad, T. A. S.
author_facet Haddad, T. A. S.
Pinho, Suani Tavares Rubim de
Salinas, S. R.
author_role author
author2 Pinho, Suani Tavares Rubim de
Salinas, S. R.
author2_role author
author
dc.contributor.author.fl_str_mv Haddad, T. A. S.
Pinho, Suani Tavares Rubim de
Salinas, S. R.
Haddad, T. A. S.
Pinho, Suani Tavares Rubim de
Salinas, S. R.
description p. 741/744
publishDate 2000
dc.date.issued.fl_str_mv 2000
dc.date.accessioned.fl_str_mv 2012-10-10T19:34:36Z
dc.date.available.fl_str_mv 2012-10-10T19:34:36Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/6929
dc.identifier.number.pt_BR.fl_str_mv v. 30, n. 4
url http://www.repositorio.ufba.br/ri/handle/ri/6929
identifier_str_mv v. 30, n. 4
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Brazilian Journal of Physics
publisher.none.fl_str_mv Brazilian Journal of Physics
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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