Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature

Detalhes bibliográficos
Autor(a) principal: Malbouisson, Adolfo Pedro Carvalho
Data de Publicação: 2009
Outros Autores: Malbouisson, Jorge Mário Carvalho, Pereira, R. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/6372
Resumo: p.1-16
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spelling Malbouisson, Adolfo Pedro CarvalhoMalbouisson, Jorge Mário CarvalhoPereira, R. C.Malbouisson, Adolfo Pedro CarvalhoMalbouisson, Jorge Mário CarvalhoPereira, R. C.2012-07-06T20:10:25Z2012-07-06T20:10:25Z20090022-2488http://www.repositorio.ufba.br/ri/handle/ri/6372v. 50, n. 8p.1-16We consider the Euclidean D-dimensional N-component 4 0 model with d d D compactified dimensions. Introducing temperature by means of the Ginzburg–Landau prescription in the mass term of the Hamiltonian, this model can be interpreted as describing a second-order phase transition for a system in a region of the D-dimensional space, limited by d pairs of parallel planes, orthogonal to the coordinates axis x1 ,x2 , . . . ,xd. The planes in each pair are separated by distances L1 ,L2 , . . . ,Ld. Making the appropriate boundary corrections to the coupling constant, we obtain in the large-N limit the transition temperature as a function of the size of the system, Tc Li , i=1,2, . . . ,d. For D=3 we particularize this formula, taking L1=L2=¯=Ld=L for the physically interesting cases d=1 a film , d=2 an infinitely long wire having a square cross section , and d=3 a cubic grain . © 2009 American Institute of Physics.Submitted by Bruna Lessa (lessbruna@gmail.com) on 2012-07-06T20:10:25Z No. of bitstreams: 1 (111).pdf: 577860 bytes, checksum: 36c90a00d352a0c2435ea36e130abaed (MD5)Made available in DSpace on 2012-07-06T20:10:25Z (GMT). No. of bitstreams: 1 (111).pdf: 577860 bytes, checksum: 36c90a00d352a0c2435ea36e130abaed (MD5) Previous issue date: 2009American Institute of Physicshttp://dx.doi.org/10.1063/1.3204079reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBABoundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperatureJournal of Mathematical Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL(111).pdf(111).pdfapplication/pdf577860https://repositorio.ufba.br/bitstream/ri/6372/1/%28111%29.pdf36c90a00d352a0c2435ea36e130abaedMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/6372/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT(111).pdf.txt(111).pdf.txtExtracted texttext/plain40514https://repositorio.ufba.br/bitstream/ri/6372/3/%28111%29.pdf.txtc166f3a748c7ec2a7f43bd33d3d602edMD53ri/63722022-07-07 09:37:45.948oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-07T12:37:45Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
dc.title.alternative.pt_BR.fl_str_mv Journal of Mathematical Physics
title Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
spellingShingle Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
Malbouisson, Adolfo Pedro Carvalho
title_short Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
title_full Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
title_fullStr Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
title_full_unstemmed Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
title_sort Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: the boundary dependent critical temperature
author Malbouisson, Adolfo Pedro Carvalho
author_facet Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Pereira, R. C.
author_role author
author2 Malbouisson, Jorge Mário Carvalho
Pereira, R. C.
author2_role author
author
dc.contributor.author.fl_str_mv Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Pereira, R. C.
Malbouisson, Adolfo Pedro Carvalho
Malbouisson, Jorge Mário Carvalho
Pereira, R. C.
description p.1-16
publishDate 2009
dc.date.issued.fl_str_mv 2009
dc.date.accessioned.fl_str_mv 2012-07-06T20:10:25Z
dc.date.available.fl_str_mv 2012-07-06T20:10:25Z
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/6372
dc.identifier.issn.none.fl_str_mv 0022-2488
dc.identifier.number.pt_BR.fl_str_mv v. 50, n. 8
identifier_str_mv 0022-2488
v. 50, n. 8
url http://www.repositorio.ufba.br/ri/handle/ri/6372
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 American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1063/1.3204079
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
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reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
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