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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/222017
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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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1844613214652858368 |
score |
13.070432 |