Ising model on the Apollonian network with node-dependent interactions

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2009
Outros Autores: Andrade Júnior, José Soares de, Herrmann, H. J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/13268
Resumo: p. 1-7
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spelling Andrade, Roberto Fernandes SilvaAndrade Júnior, José Soares deHerrmann, H. J.Andrade, Roberto Fernandes SilvaAndrade Júnior, José Soares deHerrmann, H. J.2013-10-15T18:25:14Z2013-10-15T18:25:14Z20091539-3755http://www.repositorio.ufba.br/ri/handle/ri/13268v. 79, n. 3p. 1-7This work considers an Ising model on the Apollonian network, where the exchange constant Ji,j∼1/(kikj)μ between two neighboring spins (i,j) is a function of the degree k of both spins. Using the exact geometrical construction rule for the network, the thermodynamical and magnetic properties are evaluated by iterating a system of discrete maps that allows for very precise results in the thermodynamic limit. The results can be compared to the predictions of a general framework for spin models on scale-free networks, where the node distribution P(k)∼k−γ, with node-dependent interacting constants. We observe that, by increasing μ, the critical behavior of the model changes from a phase transition at T=∞ for a uniform system (μ=0) to a T=0 phase transition when μ=1: in the thermodynamic limit, the system shows no true critical behavior at a finite temperature for the whole μ≥0 interval. The magnetization and magnetic susceptibility are found to present noncritical scaling properties.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-10-15T17:19:59Z No. of bitstreams: 1 PhysRevE.79.036105.pdf: 233641 bytes, checksum: d25fa0cf18d70ce670c0a7a26f076bb0 (MD5)Approved for entry into archive by Alda Lima da Silva(sivalda@ufba.br) on 2013-10-15T18:25:14Z (GMT) No. of bitstreams: 1 PhysRevE.79.036105.pdf: 233641 bytes, checksum: d25fa0cf18d70ce670c0a7a26f076bb0 (MD5)Made available in DSpace on 2013-10-15T18:25:14Z (GMT). No. of bitstreams: 1 PhysRevE.79.036105.pdf: 233641 bytes, checksum: d25fa0cf18d70ce670c0a7a26f076bb0 (MD5) Previous issue date: 2009http://dx.doi.org/10.1103/PhysRevE.79.036105reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAIsing model on the Apollonian network with node-dependent interactionsPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINALPhysRevE.79.036105.pdfPhysRevE.79.036105.pdfapplication/pdf233641https://repositorio.ufba.br/bitstream/ri/13268/1/PhysRevE.79.036105.pdfd25fa0cf18d70ce670c0a7a26f076bb0MD51LICENSElicense.txtlicense.txttext/plain1365https://repositorio.ufba.br/bitstream/ri/13268/2/license.txt5371a150bdc863f78dcf39281543bd86MD52TEXTPhysRevE.79.036105.pdf.txtPhysRevE.79.036105.pdf.txtExtracted texttext/plain35507https://repositorio.ufba.br/bitstream/ri/13268/3/PhysRevE.79.036105.pdf.txtc19afc2d0dc1b29e486e26445b92b19eMD53ri/132682022-07-05 14:03:48.676oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Ising model on the Apollonian network with node-dependent interactions
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Ising model on the Apollonian network with node-dependent interactions
spellingShingle Ising model on the Apollonian network with node-dependent interactions
Andrade, Roberto Fernandes Silva
title_short Ising model on the Apollonian network with node-dependent interactions
title_full Ising model on the Apollonian network with node-dependent interactions
title_fullStr Ising model on the Apollonian network with node-dependent interactions
title_full_unstemmed Ising model on the Apollonian network with node-dependent interactions
title_sort Ising model on the Apollonian network with node-dependent interactions
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Andrade Júnior, José Soares de
Herrmann, H. J.
author_role author
author2 Andrade Júnior, José Soares de
Herrmann, H. J.
author2_role author
author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Andrade Júnior, José Soares de
Herrmann, H. J.
Andrade, Roberto Fernandes Silva
Andrade Júnior, José Soares de
Herrmann, H. J.
description p. 1-7
publishDate 2009
dc.date.issued.fl_str_mv 2009
dc.date.accessioned.fl_str_mv 2013-10-15T18:25:14Z
dc.date.available.fl_str_mv 2013-10-15T18:25:14Z
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/13268
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 79, n. 3
identifier_str_mv 1539-3755
v. 79, n. 3
url http://www.repositorio.ufba.br/ri/handle/ri/13268
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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