Uniqueness of the thermodynamic limit for driven disordered elastic interfaces

Autores
Kolton, Alejandro Benedykt; Bustingorry, Sebastian; Ferrero, Ezequiel E.; Rosso, A.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the finite-size fluctuations at the depinning transition for a one-dimensional elastic interface of size L displacing in a disordered medium of transverse size M = kLζ with periodic boundary conditions, where ζ is the depinning roughness exponent and k is a finite aspect-ratio parameter. We focus on the crossover from the infinitely narrow (k → 0) to the infinitely wide (k → ∞) medium. We find that at the thermodynamic limit both the value of the critical force and the precise behaviour of the velocity?force characteristics are unique and k-independent. We also show that the finite-size fluctuations of the critical force (bias and variance) as well as the global width of the interface cross over from a power-law to a logarithm as a function of k. Our results are relevant for understanding anisotropic size effects in force-driven and velocity-driven interfaces.
Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Bustingorry, Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Ferrero, Ezequiel E.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Rosso, A.. Centre National de la Recherche Scientifique; Francia. Universite Paris Sud; Francia. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Materia
Transport Properties (Theory)
Finite-Size Scaling
Interfaces in Random Media (Theory)
Fluctuations (Theory)
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/8971
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Uniqueness of the thermodynamic limit for driven disordered elastic interfacesKolton, Alejandro BenedyktBustingorry, SebastianFerrero, Ezequiel E.Rosso, A.Transport Properties (Theory)Finite-Size ScalingInterfaces in Random Media (Theory)Fluctuations (Theory)https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the finite-size fluctuations at the depinning transition for a one-dimensional elastic interface of size L displacing in a disordered medium of transverse size M = kLζ with periodic boundary conditions, where ζ is the depinning roughness exponent and k is a finite aspect-ratio parameter. We focus on the crossover from the infinitely narrow (k → 0) to the infinitely wide (k → ∞) medium. We find that at the thermodynamic limit both the value of the critical force and the precise behaviour of the velocity?force characteristics are unique and k-independent. We also show that the finite-size fluctuations of the critical force (bias and variance) as well as the global width of the interface cross over from a power-law to a logarithm as a function of k. Our results are relevant for understanding anisotropic size effects in force-driven and velocity-driven interfaces.Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Bustingorry, Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Ferrero, Ezequiel E.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Rosso, A.. Centre National de la Recherche Scientifique; Francia. Universite Paris Sud; Francia. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaIOP Publishing2013-12info: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/11336/8971Kolton, Alejandro Benedykt; Bustingorry, Sebastian; Ferrero, Ezequiel E.; Rosso, A.; Uniqueness of the thermodynamic limit for driven disordered elastic interfaces; IOP Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2013; 12-2013; 12004-120231742-5468enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2013/12/P12004/metainfo:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2013/12/P12004info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1308.4329info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:19:04Zoai:ri.conicet.gov.ar:11336/8971instacron: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 11:19:05.047CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
title Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
spellingShingle Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
Kolton, Alejandro Benedykt
Transport Properties (Theory)
Finite-Size Scaling
Interfaces in Random Media (Theory)
Fluctuations (Theory)
title_short Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
title_full Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
title_fullStr Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
title_full_unstemmed Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
title_sort Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
dc.creator.none.fl_str_mv Kolton, Alejandro Benedykt
Bustingorry, Sebastian
Ferrero, Ezequiel E.
Rosso, A.
author Kolton, Alejandro Benedykt
author_facet Kolton, Alejandro Benedykt
Bustingorry, Sebastian
Ferrero, Ezequiel E.
Rosso, A.
author_role author
author2 Bustingorry, Sebastian
Ferrero, Ezequiel E.
Rosso, A.
author2_role author
author
author
dc.subject.none.fl_str_mv Transport Properties (Theory)
Finite-Size Scaling
Interfaces in Random Media (Theory)
Fluctuations (Theory)
topic Transport Properties (Theory)
Finite-Size Scaling
Interfaces in Random Media (Theory)
Fluctuations (Theory)
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 finite-size fluctuations at the depinning transition for a one-dimensional elastic interface of size L displacing in a disordered medium of transverse size M = kLζ with periodic boundary conditions, where ζ is the depinning roughness exponent and k is a finite aspect-ratio parameter. We focus on the crossover from the infinitely narrow (k → 0) to the infinitely wide (k → ∞) medium. We find that at the thermodynamic limit both the value of the critical force and the precise behaviour of the velocity?force characteristics are unique and k-independent. We also show that the finite-size fluctuations of the critical force (bias and variance) as well as the global width of the interface cross over from a power-law to a logarithm as a function of k. Our results are relevant for understanding anisotropic size effects in force-driven and velocity-driven interfaces.
Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Bustingorry, Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Ferrero, Ezequiel E.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Rosso, A.. Centre National de la Recherche Scientifique; Francia. Universite Paris Sud; Francia. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
description We study the finite-size fluctuations at the depinning transition for a one-dimensional elastic interface of size L displacing in a disordered medium of transverse size M = kLζ with periodic boundary conditions, where ζ is the depinning roughness exponent and k is a finite aspect-ratio parameter. We focus on the crossover from the infinitely narrow (k → 0) to the infinitely wide (k → ∞) medium. We find that at the thermodynamic limit both the value of the critical force and the precise behaviour of the velocity?force characteristics are unique and k-independent. We also show that the finite-size fluctuations of the critical force (bias and variance) as well as the global width of the interface cross over from a power-law to a logarithm as a function of k. Our results are relevant for understanding anisotropic size effects in force-driven and velocity-driven interfaces.
publishDate 2013
dc.date.none.fl_str_mv 2013-12
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/11336/8971
Kolton, Alejandro Benedykt; Bustingorry, Sebastian; Ferrero, Ezequiel E.; Rosso, A.; Uniqueness of the thermodynamic limit for driven disordered elastic interfaces; IOP Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2013; 12-2013; 12004-12023
1742-5468
url http://hdl.handle.net/11336/8971
identifier_str_mv Kolton, Alejandro Benedykt; Bustingorry, Sebastian; Ferrero, Ezequiel E.; Rosso, A.; Uniqueness of the thermodynamic limit for driven disordered elastic interfaces; IOP Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2013; 12-2013; 12004-12023
1742-5468
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2013/12/P12004/meta
info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2013/12/P12004
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1308.4329
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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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