Disordered λφ4+ρφ6 Landau-Ginzburg model

Detalhes bibliográficos
Autor(a) principal: Diaz, R. Acosta
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/11449/228529
Resumo: We discuss a disordered λφ4+ρφ6 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 λφ4+ρφ6 Landau-Ginzburg modelWe discuss a disordered λφ4+ρφ6 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.Centro Brasileiro de Pesquisas FísicasInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Instituto de Física Universidade Federal Do Rio de JaneiroInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Centro Brasileiro de Pesquisas FísicasUniversidade Estadual Paulista (UNESP)Universidade Federal do Rio de Janeiro (UFRJ)Diaz, R. AcostaSvaiter, N. F.Krein, G. [UNESP]Zarro, C. A.D.2022-04-29T08:27:16Z2022-04-29T08:27:16Z2018-03-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.97.065017Physical Review D, v. 97, n. 6, 2018.2470-00292470-0010http://hdl.handle.net/11449/22852910.1103/PhysRevD.97.0650172-s2.0-85044839604Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2022-04-29T08:27:16Zoai:repositorio.unesp.br:11449/228529Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:59:58.355537Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Disordered λφ4+ρφ6 Landau-Ginzburg model
title Disordered λφ4+ρφ6 Landau-Ginzburg model
spellingShingle Disordered λφ4+ρφ6 Landau-Ginzburg model
Diaz, R. Acosta
title_short Disordered λφ4+ρφ6 Landau-Ginzburg model
title_full Disordered λφ4+ρφ6 Landau-Ginzburg model
title_fullStr Disordered λφ4+ρφ6 Landau-Ginzburg model
title_full_unstemmed Disordered λφ4+ρφ6 Landau-Ginzburg model
title_sort Disordered λφ4+ρφ6 Landau-Ginzburg model
author Diaz, R. Acosta
author_facet Diaz, R. Acosta
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 Centro Brasileiro de Pesquisas Físicas
Universidade Estadual Paulista (UNESP)
Universidade Federal do Rio de Janeiro (UFRJ)
dc.contributor.author.fl_str_mv Diaz, R. Acosta
Svaiter, N. F.
Krein, G. [UNESP]
Zarro, C. A.D.
description We discuss a disordered λφ4+ρφ6 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 2018-03-15
2022-04-29T08:27:16Z
2022-04-29T08:27:16Z
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, v. 97, n. 6, 2018.
2470-0029
2470-0010
http://hdl.handle.net/11449/228529
10.1103/PhysRevD.97.065017
2-s2.0-85044839604
url http://dx.doi.org/10.1103/PhysRevD.97.065017
http://hdl.handle.net/11449/228529
identifier_str_mv Physical Review D, v. 97, n. 6, 2018.
2470-0029
2470-0010
10.1103/PhysRevD.97.065017
2-s2.0-85044839604
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review D
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
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_ 1808128734461427712

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