Log-periodic oscillations for a uniform spin model on a fractal

Detalhes bibliográficos
Autor(a) principal: Lessa, J. C.
Data de Publicação: 2000
Outros Autores: Andrade, Roberto Fernandes Silva
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13654
Resumo: p. 3083-3089
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spelling Lessa, J. C.Andrade, Roberto Fernandes SilvaLessa, J. C.Andrade, Roberto Fernandes Silva2013-11-16T11:58:33Z2013-11-16T11:58:33Z20001539-3755http://repositorio.ufba.br/ri/handle/ri/13654v. 62, n. 3p. 3083-3089The model of Blume-Capel on the Sierpinski gasket is investigated within the method of transfer matrices, where the thermodynamic functions are obtained after the numerical iteration of a set of discrete maps. The analysis of the T50 transition shows that, for antiferromagnetic coupling and a finite interval of self-energy coefficient, the correlation length diverges as exp(Jef f /T), with superimposed log-periodic oscillations in terms of the reduced temperature t5exp(2uJef fu/T). Both the period of oscillations and the effective interaction Je f f depend on the strength of the actual coupling constants. In the antiferromagnetic regime, residual entropy is found for three different values of the self-energy parameter. The variation of this parameter leads, in the case of ferromagnetic coupling, to a more complex behavior for the correlation length than the already known exp@exp(Jef f /T)# dependence observed for the Ising and Potts models.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-07-24T16:46:14Z No. of bitstreams: 1 1111111aa.pdf: 127597 bytes, checksum: a869ca4122bbe5dbe5975e1c71c77179 (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-16T11:58:33Z (GMT) No. of bitstreams: 1 1111111aa.pdf: 127597 bytes, checksum: a869ca4122bbe5dbe5975e1c71c77179 (MD5)Made available in DSpace on 2013-11-16T11:58:33Z (GMT). No. of bitstreams: 1 1111111aa.pdf: 127597 bytes, checksum: a869ca4122bbe5dbe5975e1c71c77179 (MD5) Previous issue date: 2000SalvadorPhysical Review E10.1103/PhysRevE.62.3083reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBALog-periodic oscillations for a uniform spin model on a fractalPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL1111111aa.pdf1111111aa.pdfapplication/pdf127597https://repositorio.ufba.br/bitstream/ri/13654/1/1111111aa.pdfa869ca4122bbe5dbe5975e1c71c77179MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/13654/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT1111111aa.pdf.txt1111111aa.pdf.txtExtracted texttext/plain27940https://repositorio.ufba.br/bitstream/ri/13654/3/1111111aa.pdf.txta87e93a890de4a66a08e147047225a73MD53ri/136542022-07-05 14:02:50.58oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:02:50Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Log-periodic oscillations for a uniform spin model on a fractal
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Log-periodic oscillations for a uniform spin model on a fractal
spellingShingle Log-periodic oscillations for a uniform spin model on a fractal
Lessa, J. C.
title_short Log-periodic oscillations for a uniform spin model on a fractal
title_full Log-periodic oscillations for a uniform spin model on a fractal
title_fullStr Log-periodic oscillations for a uniform spin model on a fractal
title_full_unstemmed Log-periodic oscillations for a uniform spin model on a fractal
title_sort Log-periodic oscillations for a uniform spin model on a fractal
author Lessa, J. C.
author_facet Lessa, J. C.
Andrade, Roberto Fernandes Silva
author_role author
author2 Andrade, Roberto Fernandes Silva
author2_role author
dc.contributor.author.fl_str_mv Lessa, J. C.
Andrade, Roberto Fernandes Silva
Lessa, J. C.
Andrade, Roberto Fernandes Silva
description p. 3083-3089
publishDate 2000
dc.date.issued.fl_str_mv 2000
dc.date.accessioned.fl_str_mv 2013-11-16T11:58:33Z
dc.date.available.fl_str_mv 2013-11-16T11:58:33Z
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://repositorio.ufba.br/ri/handle/ri/13654
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 62, n. 3
identifier_str_mv 1539-3755
v. 62, n. 3
url http://repositorio.ufba.br/ri/handle/ri/13654
dc.language.iso.fl_str_mv eng
language eng
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 10.1103/PhysRevE.62.3083
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
institution UFBA
reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
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