Annealed Ising model with site dilution on self-similar structures

Detalhes bibliográficos
Autor(a) principal: Silva, V. S. T.
Data de Publicação: 2014
Outros Autores: Andrade, Roberto Fernandes Silva, Salinas, S. R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/17370
Resumo: p.1-8
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spelling Silva, V. S. T.Andrade, Roberto Fernandes SilvaSalinas, S. R.2015-04-08T18:43:21Z2015-04-08T18:43:21Z20141539-3755http://repositorio.ufba.br/ri/handle/ri/17370v. 90, n. 5p.1-8We consider an Ising model on the triangular Apollonian network (AN), with a thermalized distribution of vacant sites. The statistical problem is formulated in a grand canonical ensemble, in terms of the temperature T and a chemical potential μ associated with the concentration of active magnetic sites. We use a well-known transfer-matrix method, with a number of adaptations, to write recursion relations between successive generations of this hierarchical structure. We also investigate the analogous model on the diamond hierarchical lattice (DHL). From the numerical analysis of the recursion relations, we obtain various thermodynamic quantities. In the μ→∞ limit, we reproduce the results for the uniform models: in the AN, the system is magnetically ordered at all temperatures, while in the DHL there is a ferromagnetic-paramagnetic transition at a finite value of T. Magnetic ordering, however, is shown to disappear for sufficiently large negative values of the chemical potential.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2015-03-25T14:34:46Z No. of bitstreams: 1 V. S. T. Silva.pdf: 398364 bytes, checksum: d360b872b1eee32720f924403ca50495 (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2015-04-08T18:43:21Z (GMT) No. of bitstreams: 1 V. S. T. Silva.pdf: 398364 bytes, checksum: d360b872b1eee32720f924403ca50495 (MD5)Made available in DSpace on 2015-04-08T18:43:21Z (GMT). No. of bitstreams: 1 V. S. T. Silva.pdf: 398364 bytes, checksum: d360b872b1eee32720f924403ca50495 (MD5) Previous issue date: 2014http://dx.doi.org/10.1103/PhysRevE.90.052112reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAAnnealed Ising model with site dilution on self-similar structuresPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengORIGINALV. S. T. Silva.pdfV. S. T. Silva.pdfapplication/pdf398364https://repositorio.ufba.br/bitstream/ri/17370/1/V.%20S.%20T.%20Silva.pdfd360b872b1eee32720f924403ca50495MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/17370/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTV. S. T. Silva.pdf.txtV. S. T. Silva.pdf.txtExtracted texttext/plain35471https://repositorio.ufba.br/bitstream/ri/17370/3/V.%20S.%20T.%20Silva.pdf.txt36f7b35ff71819d973dc0396183269eaMD53ri/173702022-03-23 20:18:55.291oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-03-23T23:18:55Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Annealed Ising model with site dilution on self-similar structures
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Annealed Ising model with site dilution on self-similar structures
spellingShingle Annealed Ising model with site dilution on self-similar structures
Silva, V. S. T.
title_short Annealed Ising model with site dilution on self-similar structures
title_full Annealed Ising model with site dilution on self-similar structures
title_fullStr Annealed Ising model with site dilution on self-similar structures
title_full_unstemmed Annealed Ising model with site dilution on self-similar structures
title_sort Annealed Ising model with site dilution on self-similar structures
author Silva, V. S. T.
author_facet Silva, V. S. T.
Andrade, Roberto Fernandes Silva
Salinas, S. R.
author_role author
author2 Andrade, Roberto Fernandes Silva
Salinas, S. R.
author2_role author
author
dc.contributor.author.fl_str_mv Silva, V. S. T.
Andrade, Roberto Fernandes Silva
Salinas, S. R.
description p.1-8
publishDate 2014
dc.date.issued.fl_str_mv 2014
dc.date.accessioned.fl_str_mv 2015-04-08T18:43:21Z
dc.date.available.fl_str_mv 2015-04-08T18:43:21Z
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://repositorio.ufba.br/ri/handle/ri/17370
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 90, n. 5
identifier_str_mv 1539-3755
v. 90, n. 5
url http://repositorio.ufba.br/ri/handle/ri/17370
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.country.fl_str_mv Brasil
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1103/PhysRevE.90.052112
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