Ising model on a Cayley tree with competing and aperiodic interactions

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 1997
Outros Autores: 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/13170
Resumo: p. 1429-1436
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spelling Andrade, Roberto Fernandes SilvaSalinas, S. R.Andrade, Roberto Fernandes SilvaSalinas, S. R.2013-10-09T19:44:43Z2013-10-09T19:44:43Z19971539-3755http://www.repositorio.ufba.br/ri/handle/ri/13170v. 56, n. 2p. 1429-1436We include extra aperiodic interactions in the Ising model with competing ferromagnetic and antiferromagnetic interactions between first and second neighbors along the branches of a Cayley tree. The problem is formulated as a nonlinear map whose attractors correspond to solutions deep in the interior of the tree. We present some analytical and numerical calculations for aperiodic interactions introduced according to the rules of a Koch curve and a Fibonacci sequence. For small values of a parameter of aperiodicity, there are no relevant changes in the phase diagram, except for the appearance of some bumps along the paramagneticmodulated transition. As the aperiodic interactions become more important, there are several new phenomena, such as phase locking and phase splitting, and the enhancement of the regions of chaotic attractors and of co-stability of different structures. @S1063-651X~97!14307-0#Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-08-26T12:55:23Z No. of bitstreams: 1 111111111w.pdf: 180369 bytes, checksum: 0c86c5d2f9e11e2d16bca8619f8b3698 (MD5)Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-10-09T19:44:43Z (GMT) No. of bitstreams: 1 111111111w.pdf: 180369 bytes, checksum: 0c86c5d2f9e11e2d16bca8619f8b3698 (MD5)Made available in DSpace on 2013-10-09T19:44:43Z (GMT). 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dc.title.pt_BR.fl_str_mv Ising model on a Cayley tree with competing and aperiodic interactions
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Ising model on a Cayley tree with competing and aperiodic interactions
spellingShingle Ising model on a Cayley tree with competing and aperiodic interactions
Andrade, Roberto Fernandes Silva
title_short Ising model on a Cayley tree with competing and aperiodic interactions
title_full Ising model on a Cayley tree with competing and aperiodic interactions
title_fullStr Ising model on a Cayley tree with competing and aperiodic interactions
title_full_unstemmed Ising model on a Cayley tree with competing and aperiodic interactions
title_sort Ising model on a Cayley tree with competing and aperiodic interactions
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Salinas, S. R.
author_role author
author2 Salinas, S. R.
author2_role author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Salinas, S. R.
Andrade, Roberto Fernandes Silva
Salinas, S. R.
description p. 1429-1436
publishDate 1997
dc.date.issued.fl_str_mv 1997
dc.date.accessioned.fl_str_mv 2013-10-09T19:44:43Z
dc.date.available.fl_str_mv 2013-10-09T19:44:43Z
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.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/13170
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 56, n. 2
identifier_str_mv 1539-3755
v. 56, n. 2
url http://www.repositorio.ufba.br/ri/handle/ri/13170
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Physical Review E
publisher.none.fl_str_mv Physical Review E
dc.source.pt_BR.fl_str_mv http://pre-aps-org.ez10.periodicos.capes.gov.br/pdf/PRE/v56/i2/p1429_1
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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