Emergence of very long time fluctuations and 1/f noise in ideal flows

Autores
Dmitruk, P.; Mininni, P.D.; Pouquet, A.; Servidio, S.; Matthaeus, W.H.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper shows the connection between three previously observed but seemingly unrelated phenomena in hydrodynamic (HD) and magnetohydrodynamic (MHD) turbulent flows, involving the emergence of fluctuations occurring on very long time scales: the low-frequency 1/f noise in the power frequency spectrum, the delayed ergodicity of complex valued amplitude fluctuations in wave number space, and the spontaneous flippings or reversals of large-scale fields. Direct numerical simulations of ideal MHD and HD are employed in three space dimensions, at low resolution, for long periods of time, and with high accuracy to study several cases: different geometries, presence of rotation and/or a uniform magnetic field, and different values of the associated conserved global quantities. It is conjectured that the origin of all these long-time phenomena is rooted in the interaction of the longest wavelength fluctuations available to the system, with fluctuations at much smaller scales. The strength of this nonlocal interaction is controlled either by the existence of conserved global quantities with a back-transfer in Fourier space or by the presence of a slow manifold in the dynamics. © 2011 American Physical Society.
Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(6)
Materia
1/F noise
Amplitude fluctuations
Different geometry
Ergodicity
Fourier space
Global quantities
Ideal flow
Low frequency
Low resolution
Non-local interactions
Power frequency
Slow manifolds
Three space dimensions
Time-scales
Wave numbers
Wavelength fluctuations
Magnetic fields
Spectroscopy
Magnetohydrodynamics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_15393755_v83_n6_p_Dmitruk
Acceder
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oai_identifier_str paperaa:paper_15393755_v83_n6_p_Dmitruk
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Emergence of very long time fluctuations and 1/f noise in ideal flowsDmitruk, P.Mininni, P.D.Pouquet, A.Servidio, S.Matthaeus, W.H.1/F noiseAmplitude fluctuationsDifferent geometryErgodicityFourier spaceGlobal quantitiesIdeal flowLow frequencyLow resolutionNon-local interactionsPower frequencySlow manifoldsThree space dimensionsTime-scalesWave numbersWavelength fluctuationsMagnetic fieldsSpectroscopyMagnetohydrodynamicsThis paper shows the connection between three previously observed but seemingly unrelated phenomena in hydrodynamic (HD) and magnetohydrodynamic (MHD) turbulent flows, involving the emergence of fluctuations occurring on very long time scales: the low-frequency 1/f noise in the power frequency spectrum, the delayed ergodicity of complex valued amplitude fluctuations in wave number space, and the spontaneous flippings or reversals of large-scale fields. Direct numerical simulations of ideal MHD and HD are employed in three space dimensions, at low resolution, for long periods of time, and with high accuracy to study several cases: different geometries, presence of rotation and/or a uniform magnetic field, and different values of the associated conserved global quantities. It is conjectured that the origin of all these long-time phenomena is rooted in the interaction of the longest wavelength fluctuations available to the system, with fluctuations at much smaller scales. The strength of this nonlocal interaction is controlled either by the existence of conserved global quantities with a back-transfer in Fourier space or by the presence of a slow manifold in the dynamics. © 2011 American Physical Society.Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_15393755_v83_n6_p_DmitrukPhys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(6)reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-29T13:43:05Zpaperaa:paper_15393755_v83_n6_p_DmitrukInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-29 13:43:07.192Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Emergence of very long time fluctuations and 1/f noise in ideal flows
title Emergence of very long time fluctuations and 1/f noise in ideal flows
spellingShingle Emergence of very long time fluctuations and 1/f noise in ideal flows
Dmitruk, P.
1/F noise
Amplitude fluctuations
Different geometry
Ergodicity
Fourier space
Global quantities
Ideal flow
Low frequency
Low resolution
Non-local interactions
Power frequency
Slow manifolds
Three space dimensions
Time-scales
Wave numbers
Wavelength fluctuations
Magnetic fields
Spectroscopy
Magnetohydrodynamics
title_short Emergence of very long time fluctuations and 1/f noise in ideal flows
title_full Emergence of very long time fluctuations and 1/f noise in ideal flows
title_fullStr Emergence of very long time fluctuations and 1/f noise in ideal flows
title_full_unstemmed Emergence of very long time fluctuations and 1/f noise in ideal flows
title_sort Emergence of very long time fluctuations and 1/f noise in ideal flows
dc.creator.none.fl_str_mv Dmitruk, P.
Mininni, P.D.
Pouquet, A.
Servidio, S.
Matthaeus, W.H.
author Dmitruk, P.
author_facet Dmitruk, P.
Mininni, P.D.
Pouquet, A.
Servidio, S.
Matthaeus, W.H.
author_role author
author2 Mininni, P.D.
Pouquet, A.
Servidio, S.
Matthaeus, W.H.
author2_role author
author
author
author
dc.subject.none.fl_str_mv 1/F noise
Amplitude fluctuations
Different geometry
Ergodicity
Fourier space
Global quantities
Ideal flow
Low frequency
Low resolution
Non-local interactions
Power frequency
Slow manifolds
Three space dimensions
Time-scales
Wave numbers
Wavelength fluctuations
Magnetic fields
Spectroscopy
Magnetohydrodynamics
topic 1/F noise
Amplitude fluctuations
Different geometry
Ergodicity
Fourier space
Global quantities
Ideal flow
Low frequency
Low resolution
Non-local interactions
Power frequency
Slow manifolds
Three space dimensions
Time-scales
Wave numbers
Wavelength fluctuations
Magnetic fields
Spectroscopy
Magnetohydrodynamics
dc.description.none.fl_txt_mv This paper shows the connection between three previously observed but seemingly unrelated phenomena in hydrodynamic (HD) and magnetohydrodynamic (MHD) turbulent flows, involving the emergence of fluctuations occurring on very long time scales: the low-frequency 1/f noise in the power frequency spectrum, the delayed ergodicity of complex valued amplitude fluctuations in wave number space, and the spontaneous flippings or reversals of large-scale fields. Direct numerical simulations of ideal MHD and HD are employed in three space dimensions, at low resolution, for long periods of time, and with high accuracy to study several cases: different geometries, presence of rotation and/or a uniform magnetic field, and different values of the associated conserved global quantities. It is conjectured that the origin of all these long-time phenomena is rooted in the interaction of the longest wavelength fluctuations available to the system, with fluctuations at much smaller scales. The strength of this nonlocal interaction is controlled either by the existence of conserved global quantities with a back-transfer in Fourier space or by the presence of a slow manifold in the dynamics. © 2011 American Physical Society.
Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description This paper shows the connection between three previously observed but seemingly unrelated phenomena in hydrodynamic (HD) and magnetohydrodynamic (MHD) turbulent flows, involving the emergence of fluctuations occurring on very long time scales: the low-frequency 1/f noise in the power frequency spectrum, the delayed ergodicity of complex valued amplitude fluctuations in wave number space, and the spontaneous flippings or reversals of large-scale fields. Direct numerical simulations of ideal MHD and HD are employed in three space dimensions, at low resolution, for long periods of time, and with high accuracy to study several cases: different geometries, presence of rotation and/or a uniform magnetic field, and different values of the associated conserved global quantities. It is conjectured that the origin of all these long-time phenomena is rooted in the interaction of the longest wavelength fluctuations available to the system, with fluctuations at much smaller scales. The strength of this nonlocal interaction is controlled either by the existence of conserved global quantities with a back-transfer in Fourier space or by the presence of a slow manifold in the dynamics. © 2011 American Physical Society.
publishDate 2011
dc.date.none.fl_str_mv 2011
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/20.500.12110/paper_15393755_v83_n6_p_Dmitruk
url http://hdl.handle.net/20.500.12110/paper_15393755_v83_n6_p_Dmitruk
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(6)
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 13.070432

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