Critical Behavior of an Ising Model with Aperiodic Interactions

Detalhes bibliográficos
Autor(a) principal: Pinho,S. T. R.
Data de Publicação: 1997
Outros Autores: Haddad,T. A. S., Salinas,S. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400021
Resumo: We write exact renormalization-group recursion relations for a ferromagnetic Ising model on the diamond hierarchical lattice with an aperiodic distribution of exchange interactions according to a class of generalized two-letter Fibonacci sequences. For small geometric fluctuations, the critical behavior is unchanged with respect to the uniform case. For large fluctuations, the uniform fixed point in the parameter space becomes fully unstable. We analyze some limiting cases, and propose a heuristic criterion to check the relevance of the fluctuations.
id SBF-2_4df84e95cd3ef610c30ebb8dc3313760
oai_identifier_str oai:scielo:S0103-97331997000400021
network_acronym_str SBF-2
network_name_str Brazilian Journal of Physics
repository_id_str
spelling Critical Behavior of an Ising Model with Aperiodic InteractionsWe write exact renormalization-group recursion relations for a ferromagnetic Ising model on the diamond hierarchical lattice with an aperiodic distribution of exchange interactions according to a class of generalized two-letter Fibonacci sequences. For small geometric fluctuations, the critical behavior is unchanged with respect to the uniform case. For large fluctuations, the uniform fixed point in the parameter space becomes fully unstable. We analyze some limiting cases, and propose a heuristic criterion to check the relevance of the fluctuations.Sociedade Brasileira de Física1997-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400021Brazilian Journal of Physics v.27 n.4 1997reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97331997000400021info:eu-repo/semantics/openAccessPinho,S. T. R.Haddad,T. A. S.Salinas,S. R.eng1999-06-14T00:00:00Zoai:scielo:S0103-97331997000400021Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:1999-06-14T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Critical Behavior of an Ising Model with Aperiodic Interactions
title Critical Behavior of an Ising Model with Aperiodic Interactions
spellingShingle Critical Behavior of an Ising Model with Aperiodic Interactions
Pinho,S. T. R.
title_short Critical Behavior of an Ising Model with Aperiodic Interactions
title_full Critical Behavior of an Ising Model with Aperiodic Interactions
title_fullStr Critical Behavior of an Ising Model with Aperiodic Interactions
title_full_unstemmed Critical Behavior of an Ising Model with Aperiodic Interactions
title_sort Critical Behavior of an Ising Model with Aperiodic Interactions
author Pinho,S. T. R.
author_facet Pinho,S. T. R.
Haddad,T. A. S.
Salinas,S. R.
author_role author
author2 Haddad,T. A. S.
Salinas,S. R.
author2_role author
author
dc.contributor.author.fl_str_mv Pinho,S. T. R.
Haddad,T. A. S.
Salinas,S. R.
description We write exact renormalization-group recursion relations for a ferromagnetic Ising model on the diamond hierarchical lattice with an aperiodic distribution of exchange interactions according to a class of generalized two-letter Fibonacci sequences. For small geometric fluctuations, the critical behavior is unchanged with respect to the uniform case. For large fluctuations, the uniform fixed point in the parameter space becomes fully unstable. We analyze some limiting cases, and propose a heuristic criterion to check the relevance of the fluctuations.
publishDate 1997
dc.date.none.fl_str_mv 1997-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400021
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331997000400021
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97331997000400021
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.27 n.4 1997
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
_version_ 1754734858402267136

Registros relacionados