Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations

Autores
Agoritsas, Elisabeth; Bustingorry, Sebastián; Lecomte, Vivien; Schehr, Grégory; Giamarchi, Thierry
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length ξ and at finite temperature. We address the correspondence between the geometrical transverse fluctuations of the directed polymer, described by its roughness, and the fluctuations of its free-energy, characterized by its two-point correlator. Analytical arguments are provided in favor of a generic scaling law between those quantities, at finite time, non-vanishing ξ and explicit temperature dependence. Numerical results are in good agreement both for simulations on the discrete directed polymer and on a continuous directed polymer (with short-range correlated disorder). Applications to recent experiments on liquid crystals are discussed.
Fil: Agoritsas, Elisabeth. Universite Ifm Geneve (ifm); Suiza
Fil: Bustingorry, Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Lecomte, Vivien. Universite de Paris VI; Francia
Fil: Schehr, Grégory. Centre National de la Recherche Scientifique; Francia
Fil: Giamarchi, Thierry. Universite Ifm Geneve (ifm); Suiza
Materia
directed polymer
geometrical fluctuations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/270630
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuationsAgoritsas, ElisabethBustingorry, SebastiánLecomte, VivienSchehr, GrégoryGiamarchi, Thierrydirected polymergeometrical fluctuationshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length ξ and at finite temperature. We address the correspondence between the geometrical transverse fluctuations of the directed polymer, described by its roughness, and the fluctuations of its free-energy, characterized by its two-point correlator. Analytical arguments are provided in favor of a generic scaling law between those quantities, at finite time, non-vanishing ξ and explicit temperature dependence. Numerical results are in good agreement both for simulations on the discrete directed polymer and on a continuous directed polymer (with short-range correlated disorder). Applications to recent experiments on liquid crystals are discussed.Fil: Agoritsas, Elisabeth. Universite Ifm Geneve (ifm); SuizaFil: Bustingorry, Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Lecomte, Vivien. Universite de Paris VI; FranciaFil: Schehr, Grégory. Centre National de la Recherche Scientifique; FranciaFil: Giamarchi, Thierry. Universite Ifm Geneve (ifm); SuizaAmerican Physical Society2012-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/270630Agoritsas, Elisabeth; Bustingorry, Sebastián; Lecomte, Vivien; Schehr, Grégory; Giamarchi, Thierry; Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 3; 9-2012; 1-181539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.86.031144info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.86.031144info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:32:58Zoai:ri.conicet.gov.ar:11336/270630instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:32:59.2CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
title Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
spellingShingle Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
Agoritsas, Elisabeth
directed polymer
geometrical fluctuations
title_short Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
title_full Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
title_fullStr Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
title_full_unstemmed Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
title_sort Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations
dc.creator.none.fl_str_mv Agoritsas, Elisabeth
Bustingorry, Sebastián
Lecomte, Vivien
Schehr, Grégory
Giamarchi, Thierry
author Agoritsas, Elisabeth
author_facet Agoritsas, Elisabeth
Bustingorry, Sebastián
Lecomte, Vivien
Schehr, Grégory
Giamarchi, Thierry
author_role author
author2 Bustingorry, Sebastián
Lecomte, Vivien
Schehr, Grégory
Giamarchi, Thierry
author2_role author
author
author
author
dc.subject.none.fl_str_mv directed polymer
geometrical fluctuations
topic directed polymer
geometrical fluctuations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length ξ and at finite temperature. We address the correspondence between the geometrical transverse fluctuations of the directed polymer, described by its roughness, and the fluctuations of its free-energy, characterized by its two-point correlator. Analytical arguments are provided in favor of a generic scaling law between those quantities, at finite time, non-vanishing ξ and explicit temperature dependence. Numerical results are in good agreement both for simulations on the discrete directed polymer and on a continuous directed polymer (with short-range correlated disorder). Applications to recent experiments on liquid crystals are discussed.
Fil: Agoritsas, Elisabeth. Universite Ifm Geneve (ifm); Suiza
Fil: Bustingorry, Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Lecomte, Vivien. Universite de Paris VI; Francia
Fil: Schehr, Grégory. Centre National de la Recherche Scientifique; Francia
Fil: Giamarchi, Thierry. Universite Ifm Geneve (ifm); Suiza
description We study the fluctuations of the directed polymer in 1+1 dimensions in a Gaussian random environment with a finite correlation length ξ and at finite temperature. We address the correspondence between the geometrical transverse fluctuations of the directed polymer, described by its roughness, and the fluctuations of its free-energy, characterized by its two-point correlator. Analytical arguments are provided in favor of a generic scaling law between those quantities, at finite time, non-vanishing ξ and explicit temperature dependence. Numerical results are in good agreement both for simulations on the discrete directed polymer and on a continuous directed polymer (with short-range correlated disorder). Applications to recent experiments on liquid crystals are discussed.
publishDate 2012
dc.date.none.fl_str_mv 2012-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/270630
Agoritsas, Elisabeth; Bustingorry, Sebastián; Lecomte, Vivien; Schehr, Grégory; Giamarchi, Thierry; Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 3; 9-2012; 1-18
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/270630
identifier_str_mv Agoritsas, Elisabeth; Bustingorry, Sebastián; Lecomte, Vivien; Schehr, Grégory; Giamarchi, Thierry; Finite-temperature and finite-time scaling of the directed polymer free energy with respect to its geometrical fluctuations; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 3; 9-2012; 1-18
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.86.031144
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.86.031144
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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