Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions

Autores
Ermann, Leonardo; Shepelyansky, D. L.
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study numerically the frequency modulated kicked nonlinear rotator with effective dimension d = 1, 2, 3, 4. We follow the time evolution of the model up to 109 kicks and determine the exponent α of subdiffusive spreading which changes from 0.35 to 0.5 when the dimension changes from d = 1 to 4. All results are obtained in a regime of relatively strong Anderson localization well below the Anderson transition point existing for d = 3, 4. We explain that this variation of the exponent is different from the usual d− dimensional Anderson models with local nonlinearity where α drops with increasing d. We also argue that the renormalization arguments proposed by Cherroret N et al (arXiv:1401.1038) are not valid for this model and the Anderson model with local nonlinearity in d = 3.
Fil: Ermann, Leonardo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Shepelyansky, D. L.. Université de Toulouse; Francia
Materia
Anderson Localization
Nonlinearity
Subdiffussion
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:11336/35960
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/35960
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network_name_str CONICET Digital (CONICET)
spelling Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensionsErmann, LeonardoShepelyansky, D. L.Anderson LocalizationNonlinearitySubdiffussionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study numerically the frequency modulated kicked nonlinear rotator with effective dimension d = 1, 2, 3, 4. We follow the time evolution of the model up to 109 kicks and determine the exponent α of subdiffusive spreading which changes from 0.35 to 0.5 when the dimension changes from d = 1 to 4. All results are obtained in a regime of relatively strong Anderson localization well below the Anderson transition point existing for d = 3, 4. We explain that this variation of the exponent is different from the usual d− dimensional Anderson models with local nonlinearity where α drops with increasing d. We also argue that the renormalization arguments proposed by Cherroret N et al (arXiv:1401.1038) are not valid for this model and the Anderson model with local nonlinearity in d = 3.Fil: Ermann, Leonardo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Shepelyansky, D. L.. Université de Toulouse; FranciaIOP Publishing2014-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/35960Ermann, Leonardo; Shepelyansky, D. L.; Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 47; 33; 8-2014; 1-9; 3351011751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/47/33/335101info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1751-8113/47/33/335101/metainfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1403.2692info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:12:02Zoai:ri.conicet.gov.ar:11336/35960instacron: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:34982025-09-03 10:12:02.511CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
title Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
spellingShingle Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
Ermann, Leonardo
Anderson Localization
Nonlinearity
Subdiffussion
title_short Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
title_full Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
title_fullStr Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
title_full_unstemmed Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
title_sort Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
dc.creator.none.fl_str_mv Ermann, Leonardo
Shepelyansky, D. L.
author Ermann, Leonardo
author_facet Ermann, Leonardo
Shepelyansky, D. L.
author_role author
author2 Shepelyansky, D. L.
author2_role author
dc.subject.none.fl_str_mv Anderson Localization
Nonlinearity
Subdiffussion
topic Anderson Localization
Nonlinearity
Subdiffussion
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 the frequency modulated kicked nonlinear rotator with effective dimension d = 1, 2, 3, 4. We follow the time evolution of the model up to 109 kicks and determine the exponent α of subdiffusive spreading which changes from 0.35 to 0.5 when the dimension changes from d = 1 to 4. All results are obtained in a regime of relatively strong Anderson localization well below the Anderson transition point existing for d = 3, 4. We explain that this variation of the exponent is different from the usual d− dimensional Anderson models with local nonlinearity where α drops with increasing d. We also argue that the renormalization arguments proposed by Cherroret N et al (arXiv:1401.1038) are not valid for this model and the Anderson model with local nonlinearity in d = 3.
Fil: Ermann, Leonardo. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Shepelyansky, D. L.. Université de Toulouse; Francia
description We study numerically the frequency modulated kicked nonlinear rotator with effective dimension d = 1, 2, 3, 4. We follow the time evolution of the model up to 109 kicks and determine the exponent α of subdiffusive spreading which changes from 0.35 to 0.5 when the dimension changes from d = 1 to 4. All results are obtained in a regime of relatively strong Anderson localization well below the Anderson transition point existing for d = 3, 4. We explain that this variation of the exponent is different from the usual d− dimensional Anderson models with local nonlinearity where α drops with increasing d. We also argue that the renormalization arguments proposed by Cherroret N et al (arXiv:1401.1038) are not valid for this model and the Anderson model with local nonlinearity in d = 3.
publishDate 2014
dc.date.none.fl_str_mv 2014-08
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/11336/35960
Ermann, Leonardo; Shepelyansky, D. L.; Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 47; 33; 8-2014; 1-9; 335101
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/35960
identifier_str_mv Ermann, Leonardo; Shepelyansky, D. L.; Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 47; 33; 8-2014; 1-9; 335101
1751-8113
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/47/33/335101
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1751-8113/47/33/335101/meta
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1403.2692
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
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 13.13397

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