Transfer matrix approach to the disordered Ising model on hierarchical lattices

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2006
Outros Autores: Santos, Danielle O. C., Nogueira, Edvaldo Jr.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/13255
Resumo: p.174202-1-174202-6
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spelling Andrade, Roberto Fernandes SilvaSantos, Danielle O. C.Nogueira, Edvaldo Jr.Andrade, Roberto Fernandes SilvaSantos, Danielle O. C.Nogueira, Edvaldo Jr.2013-10-15T15:39:38Z2013-10-15T15:39:38Z20061098-0121http://www.repositorio.ufba.br/ri/handle/ri/13255v.73 n. 17p.174202-1-174202-6A disordered short-range Ising model on the diamond hierarchical lattice, where the magnetic coupling constants Jij=±1 occur with probabilities p and 1−p, is investigated within a transfer-matrix based framework. Results are obtained after the evaluation of a large number of independent samples, where each individual coupling constant is randomly chosen according to the given probability distribution. The iteration of an exact set of discrete maps leads to the values of thermodynamic functions until a large but finite generation. An approximate scheme is developed to extend the results for each individual sample to the thermodynamic limit. Thermodynamic functions are evaluated and the (T,p) phase diagram is obtained on the basis of the behavior of the correlation length. The critical value pN for the emergence of magnetic ordering is found to lie on the Nishimori line, and a small reentrant effect is observed. The exponent ν is evaluated for several values of p. Exact log-periodic oscillations, found when p=1, vanish rapidly as p decreases.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-08-23T15:02:01Z No. of bitstreams: 1 e174202.pdf: 97468 bytes, checksum: e606c04004d20a168001dbdd3dca7dec (MD5)Rejected by Alda Lima da Silva(sivalda@ufba.br), reason: Unidade fora da demanda on 2013-08-23T22:09:04Z (GMT)Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-08-27T11:16:00Z No. of bitstreams: 1 e174202.pdf: 97468 bytes, checksum: e606c04004d20a168001dbdd3dca7dec (MD5)Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-10-15T15:39:38Z (GMT) No. of bitstreams: 1 e174202.pdf: 97468 bytes, checksum: e606c04004d20a168001dbdd3dca7dec (MD5)Made available in DSpace on 2013-10-15T15:39:38Z (GMT). No. of bitstreams: 1 e174202.pdf: 97468 bytes, checksum: e606c04004d20a168001dbdd3dca7dec (MD5) Previous issue date: 2006http://dx.doi.org/ 10.1103/PhysRevB.73.174202reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBATransfer matrix approach to the disordered Ising model on hierarchical latticesPhysical Review Binfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINALe174202.pdfe174202.pdfapplication/pdf97468https://repositorio.ufba.br/bitstream/ri/13255/1/e174202.pdfe606c04004d20a168001dbdd3dca7decMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/13255/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTe174202.pdf.txte174202.pdf.txtExtracted texttext/plain26691https://repositorio.ufba.br/bitstream/ri/13255/3/e174202.pdf.txtfcf063b61eb9fd2ff5a143513256efbfMD53ri/132552022-08-08 13:17:28.849oai:repositorio.ufba.br:ri/13255VGVybW8gZGUgTGljZW7vv71hLCBu77+9byBleGNsdXNpdm8sIHBhcmEgbyBkZXDvv71zaXRvIG5vIHJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVRkJBCgogICAgUGVsbyBwcm9jZXNzbyBkZSBzdWJtaXNz77+9byBkZSBkb2N1bWVudG9zLCBvIGF1dG9yIG91IHNldQpyZXByZXNlbnRhbnRlIGxlZ2FsLCBhbyBhY2VpdGFyIGVzc2UgdGVybW8gZGUgbGljZW7vv71hLCBjb25jZWRlIGFvClJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkYSBCYWhpYSBvIGRpcmVpdG8KZGUgbWFudGVyIHVtYSBj77+9cGlhIGVtIHNldSByZXBvc2l077+9cmlvIGNvbSBhIGZpbmFsaWRhZGUsIHByaW1laXJhLCAKZGUgcHJlc2VydmHvv73vv71vLiBFc3NlcyB0ZXJtb3MsIG7vv71vIGV4Y2x1c2l2b3MsIG1hbnTvv71tIG9zIGRpcmVpdG9zIGRlIAphdXRvci9jb3B5cmlnaHQsIG1hcyBlbnRlbmRlIG8gZG9jdW1lbnRvIGNvbW8gcGFydGUgZG8gYWNlcnZvIGludGVsZWN0dWFsIGRlc3NhIFVuaXZlcnNpZGFkZS4gCgogICAgUGFyYSBvcyBkb2N1bWVudG9zIHB1YmxpY2Fkb3MgY29tIHJlcGFzc2UgZGUgZGlyZWl0b3MgZGUgZGlzdHJpYnVp77+977+9bywgZXNzZSB0ZXJtbyBkZSBsaWNlbu+/vWEgZW50ZW5kZSBxdWU6IAoKICAgIE1hbnRlbmRvIG9zICBkaXJlaXRvcyBhdXRvcmFpcywgcmVwYXNzYWRvcyBhIHRlcmNlaXJvcywgZW0gY2FzbyAKZGUgcHVibGljYe+/ve+/vWVzLCBvIHJlcG9zaXTvv71yaW8gcG9kZSByZXN0cmluZ2lyIG8gYWNlc3NvIGFvIHRleHRvIAppbnRlZ3JhbCwgbWFzIGxpYmVyYSBhcyBpbmZvcm1h77+977+9ZXMgc29icmUgbyBkb2N1bWVudG8gKE1ldGFkYWRvcyBkZXNjcml0aXZvcykuCgogRGVzdGEgZm9ybWEsIGF0ZW5kZW5kbyBhb3MgYW5zZWlvcyBkZXNzYSB1bml2ZXJzaWRhZGUgCmVtIG1hbnRlciBzdWEgcHJvZHXvv73vv71vIGNpZW5077+9ZmljYSBjb20gYXMgcmVzdHJp77+977+9ZXMgaW1wb3N0YXMgcGVsb3MgCmVkaXRvcmVzIGRlIHBlcmnvv71kaWNvcy4gCgogICAgUGFyYSBhcyBwdWJsaWNh77+977+9ZXMgZW0gaW5pY2lhdGl2YXMgcXVlIHNlZ3VlbSBhIHBvbO+/vXRpY2EgZGUgCkFjZXNzbyBBYmVydG8sIG9zIGRlcO+/vXNpdG9zIGNvbXB1bHPvv71yaW9zIG5lc3NlIHJlcG9zaXTvv71yaW8gbWFudO+/vW0gCm9zIGRpcmVpdG9zIGF1dG9yYWlzLCBtYXMgbWFudO+/vW0gbyBhY2Vzc28gaXJyZXN0cml0byBhbyBtZXRhZGFkb3MgCmUgdGV4dG8gY29tcGxldG8uIEFzc2ltLCBhIGFjZWl0Ye+/ve+/vW8gZGVzc2UgdGVybW8gbu+/vW8gbmVjZXNzaXRhIGRlIApjb25zZW50aW1lbnRvIHBvciBwYXJ0ZSBkZSBhdXRvcmVzL2RldGVudG9yZXMgZG9zIGRpcmVpdG9zLCBwb3IgCmVzdGFyZW0gZW0gaW5pY2lhdGl2YXMgZGUgYWNlc3NvIGFiZXJ0by4KCiAgICBFbSBhbWJvcyBvIGNhc28sIGVzc2UgdGVybW8gZGUgbGljZW7vv71hLCBwb2RlIHNlciBhY2VpdG8gcGVsbyAKYXV0b3IsIGRldGVudG9yZXMgZGUgZGlyZWl0b3MgZS9vdSB0ZXJjZWlyb3MgYW1wYXJhZG9zIHBlbGEgCnVuaXZlcnNpZGFkZS4gRGV2aWRvIGFvcyBkaWZlcmVudGVzIHByb2Nlc3NvcyBwZWxvIHF1YWwgYSBzdWJtaXNz77+9byAKcG9kZSBvY29ycmVyLCBvIHJlcG9zaXTvv71yaW8gcGVybWl0ZSBhIGFjZWl0Ye+/ve+/vW8gZGEgbGljZW7vv71hIHBvciAKdGVyY2Vpcm9zLCBzb21lbnRlIG5vcyBjYXNvcyBkZSBkb2N1bWVudG9zIHByb2R1emlkb3MgcG9yIGludGVncmFudGVzIApkYSBVRkJBIGUgc3VibWV0aWRvcyBwb3IgcGVzc29hcyBhbXBhcmFkYXMgcG9yIGVzdGEgaW5zdGl0dWnvv73vv71vLgo=Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-08T16:17:28Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Transfer matrix approach to the disordered Ising model on hierarchical lattices
dc.title.alternative.pt_BR.fl_str_mv Physical Review B
title Transfer matrix approach to the disordered Ising model on hierarchical lattices
spellingShingle Transfer matrix approach to the disordered Ising model on hierarchical lattices
Andrade, Roberto Fernandes Silva
title_short Transfer matrix approach to the disordered Ising model on hierarchical lattices
title_full Transfer matrix approach to the disordered Ising model on hierarchical lattices
title_fullStr Transfer matrix approach to the disordered Ising model on hierarchical lattices
title_full_unstemmed Transfer matrix approach to the disordered Ising model on hierarchical lattices
title_sort Transfer matrix approach to the disordered Ising model on hierarchical lattices
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Santos, Danielle O. C.
Nogueira, Edvaldo Jr.
author_role author
author2 Santos, Danielle O. C.
Nogueira, Edvaldo Jr.
author2_role author
author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Santos, Danielle O. C.
Nogueira, Edvaldo Jr.
Andrade, Roberto Fernandes Silva
Santos, Danielle O. C.
Nogueira, Edvaldo Jr.
description p.174202-1-174202-6
publishDate 2006
dc.date.issued.fl_str_mv 2006
dc.date.accessioned.fl_str_mv 2013-10-15T15:39:38Z
dc.date.available.fl_str_mv 2013-10-15T15:39:38Z
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/13255
dc.identifier.issn.none.fl_str_mv 1098-0121
dc.identifier.number.pt_BR.fl_str_mv v.73 n. 17
identifier_str_mv 1098-0121
v.73 n. 17
url http://www.repositorio.ufba.br/ri/handle/ri/13255
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.source.pt_BR.fl_str_mv http://dx.doi.org/ 10.1103/PhysRevB.73.174202
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)
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