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

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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 spect...

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Autores principales: Dmitruk, P., Mininni, P.D., Pouquet, A., Servidio, S., Matthaeus, W.H.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2011
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v83_n6_p_Dmitruk
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_15393755_v83_n6_p_Dmitruk
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spelling paperaa:paper_15393755_v83_n6_p_Dmitruk2023-06-12T16:50:41Z Emergence of very long time fluctuations and 1/f noise in ideal flows Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(6) Dmitruk, P. Mininni, P.D. Pouquet, A. Servidio, S. Matthaeus, W.H. 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 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. 2011 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v83_n6_p_Dmitruk
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
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
spellingShingle 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
Dmitruk, P.
Mininni, P.D.
Pouquet, A.
Servidio, S.
Matthaeus, W.H.
Emergence of very long time fluctuations and 1/f noise in ideal flows
topic_facet 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
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.
format Artículo
Artículo
publishedVersion
author Dmitruk, P.
Mininni, P.D.
Pouquet, A.
Servidio, S.
Matthaeus, W.H.
author_facet Dmitruk, P.
Mininni, P.D.
Pouquet, A.
Servidio, S.
Matthaeus, W.H.
author_sort Dmitruk, P.
title Emergence of very long time fluctuations and 1/f noise in ideal flows
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
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_15393755_v83_n6_p_Dmitruk
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AT pouqueta emergenceofverylongtimefluctuationsand1fnoiseinidealflows
AT servidios emergenceofverylongtimefluctuationsand1fnoiseinidealflows
AT matthaeuswh emergenceofverylongtimefluctuationsand1fnoiseinidealflows
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