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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/270630
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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 Técnicas2025-09-29T10:03:11Zoai: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:34982025-09-29 10:03:12.191CONICET 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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1844613845252833280 |
score |
13.070432 |