Emergence of very long time fluctuations and 1/f noise in ideal flows
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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15393755_v83_n6_p_Dmitruk http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_15393755_v83_n6_p_Dmitruk_oai |
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I28-R145-paper_15393755_v83_n6_p_Dmitruk_oai2020-10-19 Dmitruk, P. Mininni, P.D. Pouquet, A. Servidio, S. Matthaeus, W.H. 2011 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. application/pdf http://hdl.handle.net/20.500.12110/paper_15393755_v83_n6_p_Dmitruk info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;83(6) 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 Emergence of very long time fluctuations and 1/f noise in ideal flows info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_15393755_v83_n6_p_Dmitruk_oai |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-145 |
collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
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 http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_15393755_v83_n6_p_Dmitruk_oai |
work_keys_str_mv |
AT dmitrukp emergenceofverylongtimefluctuationsand1fnoiseinidealflows AT mininnipd emergenceofverylongtimefluctuationsand1fnoiseinidealflows AT pouqueta emergenceofverylongtimefluctuationsand1fnoiseinidealflows AT servidios emergenceofverylongtimefluctuationsand1fnoiseinidealflows AT matthaeuswh emergenceofverylongtimefluctuationsand1fnoiseinidealflows |
_version_ |
1766026783651528704 |