Localization of soft modes at the depinning transition

Autores
Cao, Xiangyu; Bouzat, Sebastian; Kolton, Alejandro Benedykt; Rosso, Alberto
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We characterize the soft modes of the dynamical matrix at the depinning transition, and compare the matrix with the properties of the Anderson model (and long-range generalizations). The density of states at the edge of the spectrum displays a universal linear tail, different from the Lifshitz tails. The eigenvectors are instead very similar in the two matrix ensembles. We focus on the ground state (soft mode), which represents the epicenter of avalanche instabilities. We expect it to be localized in all finite dimensions, and make a clear connection between its localization length and the Larkin length of the depinning model. In the fully connected model, we show that the weak-strong pinning transition coincides with a peculiar localization transition of the ground state.
Fil: Cao, Xiangyu. University of California at Berkeley; Estados Unidos. Université Paris Sud; Francia
Fil: Bouzat, Sebastian. Comisión Nacional de Energía Atómica. Gerencia del Area 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
Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Rosso, Alberto. Université Paris Sud; Francia
Materia
Depinning Transition
Depinning Model
Pinning
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:11336/98896
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Localization of soft modes at the depinning transitionCao, XiangyuBouzat, SebastianKolton, Alejandro BenedyktRosso, AlbertoDepinning TransitionDepinning ModelPinninghttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We characterize the soft modes of the dynamical matrix at the depinning transition, and compare the matrix with the properties of the Anderson model (and long-range generalizations). The density of states at the edge of the spectrum displays a universal linear tail, different from the Lifshitz tails. The eigenvectors are instead very similar in the two matrix ensembles. We focus on the ground state (soft mode), which represents the epicenter of avalanche instabilities. We expect it to be localized in all finite dimensions, and make a clear connection between its localization length and the Larkin length of the depinning model. In the fully connected model, we show that the weak-strong pinning transition coincides with a peculiar localization transition of the ground state.Fil: Cao, Xiangyu. University of California at Berkeley; Estados Unidos. Université Paris Sud; FranciaFil: Bouzat, Sebastian. Comisión Nacional de Energía Atómica. Gerencia del Area 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; ArgentinaFil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Rosso, Alberto. Université Paris Sud; FranciaAmerican Physical Society2018-02-13info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/98896Cao, Xiangyu; Bouzat, Sebastian; Kolton, Alejandro Benedykt; Rosso, Alberto; Localization of soft modes at the depinning transition; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 97; 2; 13-2-2018; 1-17; 0221182470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.97.022118info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.022118info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1705.10289info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:15:37Zoai:ri.conicet.gov.ar:11336/98896instacron: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 12:15:37.576CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Localization of soft modes at the depinning transition
title Localization of soft modes at the depinning transition
spellingShingle Localization of soft modes at the depinning transition
Cao, Xiangyu
Depinning Transition
Depinning Model
Pinning
title_short Localization of soft modes at the depinning transition
title_full Localization of soft modes at the depinning transition
title_fullStr Localization of soft modes at the depinning transition
title_full_unstemmed Localization of soft modes at the depinning transition
title_sort Localization of soft modes at the depinning transition
dc.creator.none.fl_str_mv Cao, Xiangyu
Bouzat, Sebastian
Kolton, Alejandro Benedykt
Rosso, Alberto
author Cao, Xiangyu
author_facet Cao, Xiangyu
Bouzat, Sebastian
Kolton, Alejandro Benedykt
Rosso, Alberto
author_role author
author2 Bouzat, Sebastian
Kolton, Alejandro Benedykt
Rosso, Alberto
author2_role author
author
author
dc.subject.none.fl_str_mv Depinning Transition
Depinning Model
Pinning
topic Depinning Transition
Depinning Model
Pinning
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 characterize the soft modes of the dynamical matrix at the depinning transition, and compare the matrix with the properties of the Anderson model (and long-range generalizations). The density of states at the edge of the spectrum displays a universal linear tail, different from the Lifshitz tails. The eigenvectors are instead very similar in the two matrix ensembles. We focus on the ground state (soft mode), which represents the epicenter of avalanche instabilities. We expect it to be localized in all finite dimensions, and make a clear connection between its localization length and the Larkin length of the depinning model. In the fully connected model, we show that the weak-strong pinning transition coincides with a peculiar localization transition of the ground state.
Fil: Cao, Xiangyu. University of California at Berkeley; Estados Unidos. Université Paris Sud; Francia
Fil: Bouzat, Sebastian. Comisión Nacional de Energía Atómica. Gerencia del Area 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
Fil: Kolton, Alejandro Benedykt. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Area de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Rosso, Alberto. Université Paris Sud; Francia
description We characterize the soft modes of the dynamical matrix at the depinning transition, and compare the matrix with the properties of the Anderson model (and long-range generalizations). The density of states at the edge of the spectrum displays a universal linear tail, different from the Lifshitz tails. The eigenvectors are instead very similar in the two matrix ensembles. We focus on the ground state (soft mode), which represents the epicenter of avalanche instabilities. We expect it to be localized in all finite dimensions, and make a clear connection between its localization length and the Larkin length of the depinning model. In the fully connected model, we show that the weak-strong pinning transition coincides with a peculiar localization transition of the ground state.
publishDate 2018
dc.date.none.fl_str_mv 2018-02-13
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/11336/98896
Cao, Xiangyu; Bouzat, Sebastian; Kolton, Alejandro Benedykt; Rosso, Alberto; Localization of soft modes at the depinning transition; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 97; 2; 13-2-2018; 1-17; 022118
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/98896
identifier_str_mv Cao, Xiangyu; Bouzat, Sebastian; Kolton, Alejandro Benedykt; Rosso, Alberto; Localization of soft modes at the depinning transition; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 97; 2; 13-2-2018; 1-17; 022118
2470-0053
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.97.022118
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.022118
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1705.10289
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
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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