Ising spin glass by the transfer matrix approach

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2003
Outros Autores: Nogueira Júnior, E., Coutinho, Sérgio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14447
Resumo: p. 231-239
id UFBA-2_02efc06cf355058e29540cfa923c6b71
oai_identifier_str oai:repositorio.ufba.br:ri/14447
network_acronym_str UFBA-2
network_name_str Repositório Institucional da UFBA
repository_id_str 1932
spelling Andrade, Roberto Fernandes SilvaNogueira Júnior, E.Coutinho, SérgioAndrade, Roberto Fernandes SilvaNogueira Júnior, E.Coutinho, Sérgio2014-01-23T16:21:15Z2014-01-23T16:21:15Z20031098-0121http://repositorio.ufba.br/ri/handle/ri/14447v. 68 n. 10p. 231-239The short-range Ising spin glass on the diamond hierarchical lattice is investigated via a transfer-matrix-based method. An exact set of discrete maps leads to all thermodynamical functions for any finite lattice, from which the thermodynamic limit can be obtained. The method, which encompasses the random choice of the coupling constants between neighboring sites, has been applied to both Gaussian and bimodal probability distributions. Results for the thermodynamic potentials of the model defined on lattices with fractal dimension df=2,2.58… and 3, below and above the estimated lower critical dimension (dl∼2.5), are discussed and fully analyzed. Typical Schottky-like profiles are observed in the temperature behavior of the specific heat for both distributions in all lattices. Finite residual entropy is found to persist for the bimodal distribution case. When df>dl and for large number of iterations the correlation length ξ increases exponentially in a wide temperature interval. The divergence of ξ at a finite temperature Tc associated with the spin-glass phase transition is investigated within an approximate scheme. The numerical values for Tc and ν are brought in comparison with those previously obtained by other methods.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-12-16T12:23:09Z No. of bitstreams: 1 R. F. S. Andrade.pdf: 108327 bytes, checksum: cb8a48f763402643d34aa308f3ed2538 (MD5)Approved for entry into archive by Vilma Conceição (vilmagc@ufba.br) on 2014-01-23T16:21:15Z (GMT) No. of bitstreams: 1 R. F. S. Andrade.pdf: 108327 bytes, checksum: cb8a48f763402643d34aa308f3ed2538 (MD5)Made available in DSpace on 2014-01-23T16:21:15Z (GMT). No. of bitstreams: 1 R. F. S. Andrade.pdf: 108327 bytes, checksum: cb8a48f763402643d34aa308f3ed2538 (MD5) Previous issue date: 2003http://dx.doi.org/ 10.1103/PhysRevB.68.104523reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAshort-range Ising spinthermodynamical functionsIsing spin glass by the transfer matrix approachPhysical Review Binfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengORIGINALR. F. S. Andrade.pdfR. F. S. Andrade.pdfapplication/pdf108327https://repositorio.ufba.br/bitstream/ri/14447/1/R.%20F.%20S.%20Andrade.pdfcb8a48f763402643d34aa308f3ed2538MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14447/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTR. F. S. Andrade.pdf.txtR. F. S. Andrade.pdf.txtExtracted texttext/plain39096https://repositorio.ufba.br/bitstream/ri/14447/3/R.%20F.%20S.%20Andrade.pdf.txt874243ff04ddeea205de4bac530b0153MD53ri/144472022-08-08 13:17:29.07oai: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 Ising spin glass by the transfer matrix approach
dc.title.alternative.pt_BR.fl_str_mv Physical Review B
title Ising spin glass by the transfer matrix approach
spellingShingle Ising spin glass by the transfer matrix approach
Andrade, Roberto Fernandes Silva
short-range Ising spin
thermodynamical functions
title_short Ising spin glass by the transfer matrix approach
title_full Ising spin glass by the transfer matrix approach
title_fullStr Ising spin glass by the transfer matrix approach
title_full_unstemmed Ising spin glass by the transfer matrix approach
title_sort Ising spin glass by the transfer matrix approach
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Nogueira Júnior, E.
Coutinho, Sérgio
author_role author
author2 Nogueira Júnior, E.
Coutinho, Sérgio
author2_role author
author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Nogueira Júnior, E.
Coutinho, Sérgio
Andrade, Roberto Fernandes Silva
Nogueira Júnior, E.
Coutinho, Sérgio
dc.subject.por.fl_str_mv short-range Ising spin
thermodynamical functions
topic short-range Ising spin
thermodynamical functions
description p. 231-239
publishDate 2003
dc.date.issued.fl_str_mv 2003
dc.date.accessioned.fl_str_mv 2014-01-23T16:21:15Z
dc.date.available.fl_str_mv 2014-01-23T16:21:15Z
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/14447
dc.identifier.issn.none.fl_str_mv 1098-0121
dc.identifier.number.pt_BR.fl_str_mv v. 68 n. 10
identifier_str_mv 1098-0121
v. 68 n. 10
url http://repositorio.ufba.br/ri/handle/ri/14447
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.country.fl_str_mv Brasil
dc.source.pt_BR.fl_str_mv http://dx.doi.org/ 10.1103/PhysRevB.68.104523
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
institution UFBA
reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
bitstream.url.fl_str_mv https://repositorio.ufba.br/bitstream/ri/14447/1/R.%20F.%20S.%20Andrade.pdf
https://repositorio.ufba.br/bitstream/ri/14447/2/license.txt
https://repositorio.ufba.br/bitstream/ri/14447/3/R.%20F.%20S.%20Andrade.pdf.txt
bitstream.checksum.fl_str_mv cb8a48f763402643d34aa308f3ed2538
ff6eaa8b858ea317fded99f125f5fcd0
874243ff04ddeea205de4bac530b0153
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)
repository.mail.fl_str_mv
_version_ 1808459467525718016

Registros relacionados