Depinning and flow of a vortex line in a uniaxial random medium

Autores
Elías, Federico; Jörg Wiese, Kay; Kolton, Alejandro Benedykt
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study numerically and analytically the dynamics of a single directed elastic string driven through a three-dimensional disordered medium. In the quasistatic limit the string is super-rough in the direction of the driving force, with roughness exponent ζ∥=1.25±0.01, dynamic exponent z∥=1.43±0.01, correlation-length exponent ν=1.33±0.02, depinning exponent β=0.24±0.01, and avalanche-size exponent τ∥=1.09±0.03. In the transverse direction we find ζ⊥=0.5±0.01, z⊥=2.27±0.05, and τ⊥=1.17±0.06. Our results show that transverse fluctuations do not alter the critical exponents in the driving direction, as predicted by the planar approximation (PA) proposed by Ertas and Kardar (EK) [Phys. Rev. B 53, 3520 (1996)PRBMDO0163-182910.1103/PhysRevB.53.3520]. We check the PA for the measured force-force correlator, comparing to the functional renormalization-group and numerical simulations. Both random-bond (RB) and random-field (RF) disorder yield a single universality class, indistinguishable from the one of an elastic string in a two-dimensional random medium. While relations z⊥=z∥+1/ν and ν=1/(2-ζ∥) of EK are satisfied, the transversal movement is that of a Brownian, with a clock set locally by the forward movement. This implies ζ⊥=(2-d)/2, distinct from EK. Finally, at small driving velocities the distribution of local parallel displacements has a negative skewness, while in the transverse direction it is a Gaussian. For large scales, the system can be described by anisotropic effective temperatures defined from generalized fluctuation-dissipation relations. In the fast-flow regime the local displacement distributions become Gaussian in both directions and the effective temperatures vanish as Teff⊥∼1/v and Teff∥∼1/v3 for RB disorder and as Teff⊥≈Teff∥∼1/v for RF disorder.
Fil: Elías, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Jörg Wiese, Kay. Ecole Normale Supérieure; Francia
Fil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Materia
QUENCHED DISORDER
DEPINNING
ELASTICITY
SUPERCONDUCTING VORTEX
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:11336/222017

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network_name_str CONICET Digital (CONICET)
spelling Depinning and flow of a vortex line in a uniaxial random mediumElías, FedericoJörg Wiese, KayKolton, Alejandro BenedyktQUENCHED DISORDERDEPINNINGELASTICITYSUPERCONDUCTING VORTEXhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study numerically and analytically the dynamics of a single directed elastic string driven through a three-dimensional disordered medium. In the quasistatic limit the string is super-rough in the direction of the driving force, with roughness exponent ζ∥=1.25±0.01, dynamic exponent z∥=1.43±0.01, correlation-length exponent ν=1.33±0.02, depinning exponent β=0.24±0.01, and avalanche-size exponent τ∥=1.09±0.03. In the transverse direction we find ζ⊥=0.5±0.01, z⊥=2.27±0.05, and τ⊥=1.17±0.06. Our results show that transverse fluctuations do not alter the critical exponents in the driving direction, as predicted by the planar approximation (PA) proposed by Ertas and Kardar (EK) [Phys. Rev. B 53, 3520 (1996)PRBMDO0163-182910.1103/PhysRevB.53.3520]. We check the PA for the measured force-force correlator, comparing to the functional renormalization-group and numerical simulations. Both random-bond (RB) and random-field (RF) disorder yield a single universality class, indistinguishable from the one of an elastic string in a two-dimensional random medium. While relations z⊥=z∥+1/ν and ν=1/(2-ζ∥) of EK are satisfied, the transversal movement is that of a Brownian, with a clock set locally by the forward movement. This implies ζ⊥=(2-d)/2, distinct from EK. Finally, at small driving velocities the distribution of local parallel displacements has a negative skewness, while in the transverse direction it is a Gaussian. For large scales, the system can be described by anisotropic effective temperatures defined from generalized fluctuation-dissipation relations. In the fast-flow regime the local displacement distributions become Gaussian in both directions and the effective temperatures vanish as Teff⊥∼1/v and Teff∥∼1/v3 for RB disorder and as Teff⊥≈Teff∥∼1/v for RF disorder.Fil: Elías, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Jörg Wiese, Kay. Ecole Normale Supérieure; FranciaFil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaAmerican Physical Society2022-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/222017Elías, Federico; Jörg Wiese, Kay; Kolton, Alejandro Benedykt; Depinning and flow of a vortex line in a uniaxial random medium; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 105; 22; 6-2022; 1-201098-0121CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.105.224209info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.105.224209info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:38:26Zoai:ri.conicet.gov.ar:11336/222017instacron: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 09:38:27.235CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Depinning and flow of a vortex line in a uniaxial random medium
title Depinning and flow of a vortex line in a uniaxial random medium
spellingShingle Depinning and flow of a vortex line in a uniaxial random medium
Elías, Federico
QUENCHED DISORDER
DEPINNING
ELASTICITY
SUPERCONDUCTING VORTEX
title_short Depinning and flow of a vortex line in a uniaxial random medium
title_full Depinning and flow of a vortex line in a uniaxial random medium
title_fullStr Depinning and flow of a vortex line in a uniaxial random medium
title_full_unstemmed Depinning and flow of a vortex line in a uniaxial random medium
title_sort Depinning and flow of a vortex line in a uniaxial random medium
dc.creator.none.fl_str_mv Elías, Federico
Jörg Wiese, Kay
Kolton, Alejandro Benedykt
author Elías, Federico
author_facet Elías, Federico
Jörg Wiese, Kay
Kolton, Alejandro Benedykt
author_role author
author2 Jörg Wiese, Kay
Kolton, Alejandro Benedykt
author2_role author
author
dc.subject.none.fl_str_mv QUENCHED DISORDER
DEPINNING
ELASTICITY
SUPERCONDUCTING VORTEX
topic QUENCHED DISORDER
DEPINNING
ELASTICITY
SUPERCONDUCTING VORTEX
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 numerically and analytically the dynamics of a single directed elastic string driven through a three-dimensional disordered medium. In the quasistatic limit the string is super-rough in the direction of the driving force, with roughness exponent ζ∥=1.25±0.01, dynamic exponent z∥=1.43±0.01, correlation-length exponent ν=1.33±0.02, depinning exponent β=0.24±0.01, and avalanche-size exponent τ∥=1.09±0.03. In the transverse direction we find ζ⊥=0.5±0.01, z⊥=2.27±0.05, and τ⊥=1.17±0.06. Our results show that transverse fluctuations do not alter the critical exponents in the driving direction, as predicted by the planar approximation (PA) proposed by Ertas and Kardar (EK) [Phys. Rev. B 53, 3520 (1996)PRBMDO0163-182910.1103/PhysRevB.53.3520]. We check the PA for the measured force-force correlator, comparing to the functional renormalization-group and numerical simulations. Both random-bond (RB) and random-field (RF) disorder yield a single universality class, indistinguishable from the one of an elastic string in a two-dimensional random medium. While relations z⊥=z∥+1/ν and ν=1/(2-ζ∥) of EK are satisfied, the transversal movement is that of a Brownian, with a clock set locally by the forward movement. This implies ζ⊥=(2-d)/2, distinct from EK. Finally, at small driving velocities the distribution of local parallel displacements has a negative skewness, while in the transverse direction it is a Gaussian. For large scales, the system can be described by anisotropic effective temperatures defined from generalized fluctuation-dissipation relations. In the fast-flow regime the local displacement distributions become Gaussian in both directions and the effective temperatures vanish as Teff⊥∼1/v and Teff∥∼1/v3 for RB disorder and as Teff⊥≈Teff∥∼1/v for RF disorder.
Fil: Elías, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Jörg Wiese, Kay. Ecole Normale Supérieure; Francia
Fil: Kolton, Alejandro Benedykt. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
description We study numerically and analytically the dynamics of a single directed elastic string driven through a three-dimensional disordered medium. In the quasistatic limit the string is super-rough in the direction of the driving force, with roughness exponent ζ∥=1.25±0.01, dynamic exponent z∥=1.43±0.01, correlation-length exponent ν=1.33±0.02, depinning exponent β=0.24±0.01, and avalanche-size exponent τ∥=1.09±0.03. In the transverse direction we find ζ⊥=0.5±0.01, z⊥=2.27±0.05, and τ⊥=1.17±0.06. Our results show that transverse fluctuations do not alter the critical exponents in the driving direction, as predicted by the planar approximation (PA) proposed by Ertas and Kardar (EK) [Phys. Rev. B 53, 3520 (1996)PRBMDO0163-182910.1103/PhysRevB.53.3520]. We check the PA for the measured force-force correlator, comparing to the functional renormalization-group and numerical simulations. Both random-bond (RB) and random-field (RF) disorder yield a single universality class, indistinguishable from the one of an elastic string in a two-dimensional random medium. While relations z⊥=z∥+1/ν and ν=1/(2-ζ∥) of EK are satisfied, the transversal movement is that of a Brownian, with a clock set locally by the forward movement. This implies ζ⊥=(2-d)/2, distinct from EK. Finally, at small driving velocities the distribution of local parallel displacements has a negative skewness, while in the transverse direction it is a Gaussian. For large scales, the system can be described by anisotropic effective temperatures defined from generalized fluctuation-dissipation relations. In the fast-flow regime the local displacement distributions become Gaussian in both directions and the effective temperatures vanish as Teff⊥∼1/v and Teff∥∼1/v3 for RB disorder and as Teff⊥≈Teff∥∼1/v for RF disorder.
publishDate 2022
dc.date.none.fl_str_mv 2022-06
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/11336/222017
Elías, Federico; Jörg Wiese, Kay; Kolton, Alejandro Benedykt; Depinning and flow of a vortex line in a uniaxial random medium; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 105; 22; 6-2022; 1-20
1098-0121
CONICET Digital
CONICET
url http://hdl.handle.net/11336/222017
identifier_str_mv Elías, Federico; Jörg Wiese, Kay; Kolton, Alejandro Benedykt; Depinning and flow of a vortex line in a uniaxial random medium; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 105; 22; 6-2022; 1-20
1098-0121
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/prb/abstract/10.1103/PhysRevB.105.224209
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.105.224209
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
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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