Magnetic models on Apollonian networks

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2005
Outros Autores: Herrmann, Hans J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14025
Resumo: p. 1-8
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spelling Andrade, Roberto Fernandes SilvaHerrmann, Hans J.Andrade, Roberto Fernandes SilvaHerrmann, Hans J.2013-11-29T19:26:24Z2013-11-29T19:26:24Z20051539-3755http://repositorio.ufba.br/ri/handle/ri/14025v. 71, n. 5p. 1-8Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering a Euclidian domain with circles of maximal radii. Maps for the thermodynamic functions in two subsequent generations of the construction of the network are obtained by formulating the problem in terms of transfer matrices. Numerical iteration of this set of maps leads to very precise values for the thermodynamic properties of the model. Different choices for the coupling constants between only nearest neighbors along the lattice are taken into account. For both ferromagnetic and antiferromagnetic constants, long-range magnetic ordering is obtained. With exception of a size-dependent effective critical behavior of the correlation length, no evidence of asymptotic criticality was detected.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-11-26T13:48:28Z No. of bitstreams: 1 Roberto F. S. Andrade.pdf: 116198 bytes, checksum: d1350046c51dab3ea906ab973bb47c60 (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2013-11-29T19:26:24Z (GMT) No. of bitstreams: 1 Roberto F. S. Andrade.pdf: 116198 bytes, checksum: d1350046c51dab3ea906ab973bb47c60 (MD5)Made available in DSpace on 2013-11-29T19:26:24Z (GMT). No. of bitstreams: 1 Roberto F. S. Andrade.pdf: 116198 bytes, checksum: d1350046c51dab3ea906ab973bb47c60 (MD5) Previous issue date: 2005http://dx.doi.org/ 10.1103/PhysRevE.71.056131reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAMagnetic models on Apollonian networksPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengLICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14025/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52ORIGINALRoberto F. S. Andrade.pdfRoberto F. S. Andrade.pdfapplication/pdf116198https://repositorio.ufba.br/bitstream/ri/14025/1/Roberto%20F.%20S.%20Andrade.pdfd1350046c51dab3ea906ab973bb47c60MD51TEXTRoberto F. S. Andrade.pdf.txtRoberto F. S. Andrade.pdf.txtExtracted texttext/plain31830https://repositorio.ufba.br/bitstream/ri/14025/3/Roberto%20F.%20S.%20Andrade.pdf.txta8ba9240911bd7cf699639f2b46e5d28MD53ri/140252022-08-08 13:17:29.063oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:17:29Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Magnetic models on Apollonian networks
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Magnetic models on Apollonian networks
spellingShingle Magnetic models on Apollonian networks
Andrade, Roberto Fernandes Silva
title_short Magnetic models on Apollonian networks
title_full Magnetic models on Apollonian networks
title_fullStr Magnetic models on Apollonian networks
title_full_unstemmed Magnetic models on Apollonian networks
title_sort Magnetic models on Apollonian networks
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Herrmann, Hans J.
author_role author
author2 Herrmann, Hans J.
author2_role author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Herrmann, Hans J.
Andrade, Roberto Fernandes Silva
Herrmann, Hans J.
description p. 1-8
publishDate 2005
dc.date.issued.fl_str_mv 2005
dc.date.accessioned.fl_str_mv 2013-11-29T19:26:24Z
dc.date.available.fl_str_mv 2013-11-29T19:26:24Z
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dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14025
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 71, n. 5
identifier_str_mv 1539-3755
v. 71, n. 5
url http://repositorio.ufba.br/ri/handle/ri/14025
dc.language.iso.fl_str_mv eng
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