Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model

Detalhes bibliográficos
Autor(a) principal: Acosta Diaz, R.
Data de Publicação: 2018
Outros Autores: Svaiter, N. F., Krein, G. [UNESP], Zarro, C. A. D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevD.97.065017
http://hdl.handle.net/11449/164030
Resumo: We discuss a disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model defined in a d-dimensional space. First we adopt the standard procedure of averaging the disorder-dependent free energy of the model. The dominant contribution to this quantity is represented by a series of the replica partition functions of the system. Next, using the replica-symmetry ansatz in the saddle-point equations, we prove that the average free energy represents a system with multiple ground states with different order parameters. For low temperatures we show the presence of metastable equilibrium states for some replica fields for a range of values of the physical parameters. Finally, going beyond the mean-field approximation, the one-loop renormalization of this model is performed, in the leading-order replica partition function.
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spelling Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg modelWe discuss a disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model defined in a d-dimensional space. First we adopt the standard procedure of averaging the disorder-dependent free energy of the model. The dominant contribution to this quantity is represented by a series of the replica partition functions of the system. Next, using the replica-symmetry ansatz in the saddle-point equations, we prove that the average free energy represents a system with multiple ground states with different order parameters. For low temperatures we show the presence of metastable equilibrium states for some replica fields for a range of values of the physical parameters. Finally, going beyond the mean-field approximation, the one-loop renormalization of this model is performed, in the leading-order replica partition function.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, RJ, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz,271,Bloco 2, BR-01140070 Sao Paulo, SP, BrazilUniv Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, RJ, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz,271,Bloco 2, BR-01140070 Sao Paulo, SP, BrazilCNPq: 305894/2009-9CNPq: 303436/2015-8FAPESP: 2013/01907-0Amer Physical SocCtr Brasileiro Pesquisas FisUniversidade Estadual Paulista (Unesp)Universidade Federal do Rio de Janeiro (UFRJ)Acosta Diaz, R.Svaiter, N. F.Krein, G. [UNESP]Zarro, C. A. D.2018-11-26T17:48:50Z2018-11-26T17:48:50Z2018-03-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10http://dx.doi.org/10.1103/PhysRevD.97.065017Physical Review D. College Pk: Amer Physical Soc, v. 97, n. 6, 10 p., 2018.2470-0010http://hdl.handle.net/11449/16403010.1103/PhysRevD.97.065017WOS:000428506100005Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D1,801info:eu-repo/semantics/openAccess2021-10-23T14:54:41Zoai:repositorio.unesp.br:11449/164030Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:44:19.736897Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
title Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
spellingShingle Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
Acosta Diaz, R.
title_short Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
title_full Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
title_fullStr Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
title_full_unstemmed Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
title_sort Disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model
author Acosta Diaz, R.
author_facet Acosta Diaz, R.
Svaiter, N. F.
Krein, G. [UNESP]
Zarro, C. A. D.
author_role author
author2 Svaiter, N. F.
Krein, G. [UNESP]
Zarro, C. A. D.
author2_role author
author
author
dc.contributor.none.fl_str_mv Ctr Brasileiro Pesquisas Fis
Universidade Estadual Paulista (Unesp)
Universidade Federal do Rio de Janeiro (UFRJ)
dc.contributor.author.fl_str_mv Acosta Diaz, R.
Svaiter, N. F.
Krein, G. [UNESP]
Zarro, C. A. D.
description We discuss a disordered lambda phi(4) + rho phi(6) Landau-Ginzburg model defined in a d-dimensional space. First we adopt the standard procedure of averaging the disorder-dependent free energy of the model. The dominant contribution to this quantity is represented by a series of the replica partition functions of the system. Next, using the replica-symmetry ansatz in the saddle-point equations, we prove that the average free energy represents a system with multiple ground states with different order parameters. For low temperatures we show the presence of metastable equilibrium states for some replica fields for a range of values of the physical parameters. Finally, going beyond the mean-field approximation, the one-loop renormalization of this model is performed, in the leading-order replica partition function.
publishDate 2018
dc.date.none.fl_str_mv 2018-11-26T17:48:50Z
2018-11-26T17:48:50Z
2018-03-28
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://dx.doi.org/10.1103/PhysRevD.97.065017
Physical Review D. College Pk: Amer Physical Soc, v. 97, n. 6, 10 p., 2018.
2470-0010
http://hdl.handle.net/11449/164030
10.1103/PhysRevD.97.065017
WOS:000428506100005
url http://dx.doi.org/10.1103/PhysRevD.97.065017
http://hdl.handle.net/11449/164030
identifier_str_mv Physical Review D. College Pk: Amer Physical Soc, v. 97, n. 6, 10 p., 2018.
2470-0010
10.1103/PhysRevD.97.065017
WOS:000428506100005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review D
1,801
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 10
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129547883773952

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