Tsallis scaling and the long-range Ising chain: A transfer matrix approach

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2005
Outros Autores: Pinho, Suani Tavares Rubim de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14026
Resumo: p. 1-8
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spelling Andrade, Roberto Fernandes SilvaPinho, Suani Tavares Rubim deAndrade, Roberto Fernandes SilvaPinho, Suani Tavares Rubim de2013-11-29T19:28:33Z2013-11-29T19:28:33Z20051539-3755http://repositorio.ufba.br/ri/handle/ri/14026v. 71, n. 2p. 1-8A numerically efficient transfer matrix (TM) approach is introduced to investigate the long-range Ising spin chain. Results obtained within this procedure are primarily used to verify the Tsallis scaling hypothesis for long-range systems with an α power-law decay of the interaction constants, both in the extensive (α>1) and nonextensive (α<1) regimes. Results for finite-size systems, taking into account all interactions between spins up to 24 sites apart, show that the conjecture is satisfied with a very good precision (less than 0.004%) for all temperature intervals. This TM procedure is further used to investigate several other thermodynamic and critical properties of this system, and it may also be extended to similar one-dimensional long-range systems.Submitted by Edileide Reis (leyde-landy@hotmail.com) on 2013-11-29T12:48:24Z No. of bitstreams: 1 R. F. S. Andrade.pdf: 109856 bytes, checksum: 29e7479e74d850424485bee3f5e403e6 (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2013-11-29T19:28:33Z (GMT) No. of bitstreams: 1 R. F. S. Andrade.pdf: 109856 bytes, checksum: 29e7479e74d850424485bee3f5e403e6 (MD5)Made available in DSpace on 2013-11-29T19:28:33Z (GMT). No. of bitstreams: 1 R. F. S. Andrade.pdf: 109856 bytes, checksum: 29e7479e74d850424485bee3f5e403e6 (MD5) Previous issue date: 2005http://dx.doi.org/ 10.1103/PhysRevE.71.026126reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBATsallis scaling and the long-range Ising chain: A transfer matrix approachPhysical Review Einfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleBrasilinfo:eu-repo/semantics/openAccessengORIGINALR. F. S. Andrade.pdfR. F. S. Andrade.pdfapplication/pdf109856https://repositorio.ufba.br/bitstream/ri/14026/1/R.%20F.%20S.%20Andrade.pdf29e7479e74d850424485bee3f5e403e6MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14026/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTR. F. S. Andrade.pdf.txtR. F. S. Andrade.pdf.txtExtracted texttext/plain35254https://repositorio.ufba.br/bitstream/ri/14026/3/R.%20F.%20S.%20Andrade.pdf.txte47d6984f3a12c7788db998127d6644cMD53ri/140262022-08-08 13:17:28.857oai:repositorio.ufba.br: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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 Tsallis scaling and the long-range Ising chain: A transfer matrix approach
dc.title.alternative.pt_BR.fl_str_mv Physical Review E
title Tsallis scaling and the long-range Ising chain: A transfer matrix approach
spellingShingle Tsallis scaling and the long-range Ising chain: A transfer matrix approach
Andrade, Roberto Fernandes Silva
title_short Tsallis scaling and the long-range Ising chain: A transfer matrix approach
title_full Tsallis scaling and the long-range Ising chain: A transfer matrix approach
title_fullStr Tsallis scaling and the long-range Ising chain: A transfer matrix approach
title_full_unstemmed Tsallis scaling and the long-range Ising chain: A transfer matrix approach
title_sort Tsallis scaling and the long-range Ising chain: A transfer matrix approach
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Pinho, Suani Tavares Rubim de
author_role author
author2 Pinho, Suani Tavares Rubim de
author2_role author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Pinho, Suani Tavares Rubim de
Andrade, Roberto Fernandes Silva
Pinho, Suani Tavares Rubim de
description p. 1-8
publishDate 2005
dc.date.issued.fl_str_mv 2005
dc.date.accessioned.fl_str_mv 2013-11-29T19:28:33Z
dc.date.available.fl_str_mv 2013-11-29T19:28:33Z
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/14026
dc.identifier.issn.none.fl_str_mv 1539-3755
dc.identifier.number.pt_BR.fl_str_mv v. 71, n. 2
identifier_str_mv 1539-3755
v. 71, n. 2
url http://repositorio.ufba.br/ri/handle/ri/14026
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/PhysRevE.71.026126
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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