Local anisotropy, higher order statistics, and turbulence spectra
Correlation anisotropy emerges dynamically in magnetohydrodynamics (MHD), producing stronger gradients across the large-scale mean magnetic field than along it. This occurs both globally and locally, and has significant implications in space and astrophysical plasmas, including particle scattering a...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0004637X_v750_n2_p_Matthaeus |
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paperaa:paper_0004637X_v750_n2_p_Matthaeus2023-06-12T16:41:07Z Local anisotropy, higher order statistics, and turbulence spectra Astrophys. J. 2012;750(2) Matthaeus, W.H. Servidio, S. Dmitruk, P. Carbone, V. Oughton, S. Wan, M. Osman, K.T. interplanetary medium magnetic fields magnetohydrodynamics (MHD) methods: data analysis solar wind turbulence Correlation anisotropy emerges dynamically in magnetohydrodynamics (MHD), producing stronger gradients across the large-scale mean magnetic field than along it. This occurs both globally and locally, and has significant implications in space and astrophysical plasmas, including particle scattering and transport, and theories of turbulence. Properties of local correlation anisotropy are further documented here by showing through numerical experiments that the effect is intensified in more localized estimates of the mean field. The mathematical formulation of this property shows that local anisotropy mixes second-order with higher order correlations. Sensitivity of local statistical estimates to higher order correlations can be understood in connection with the stochastic coordinate system inherent in such formulations. We demonstrate this in specific cases, and illustrate the connection to higher order statistics by showing the sensitivity of local anisotropy to phase randomization, after which the global measure of anisotropy is recovered at all scales of averaging. This establishes that anisotropy of the local structure function is not a measure of anisotropy of the energy spectrum. Evidently, the local enhancement of correlation anisotropy is of substantial fundamental interest and must be understood in terms of higher order correlations, specifically fourth-order and above. © 2012. The American Astronomical Society. All rights reserved. Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 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_0004637X_v750_n2_p_Matthaeus |
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 |
interplanetary medium magnetic fields magnetohydrodynamics (MHD) methods: data analysis solar wind turbulence |
spellingShingle |
interplanetary medium magnetic fields magnetohydrodynamics (MHD) methods: data analysis solar wind turbulence Matthaeus, W.H. Servidio, S. Dmitruk, P. Carbone, V. Oughton, S. Wan, M. Osman, K.T. Local anisotropy, higher order statistics, and turbulence spectra |
topic_facet |
interplanetary medium magnetic fields magnetohydrodynamics (MHD) methods: data analysis solar wind turbulence |
description |
Correlation anisotropy emerges dynamically in magnetohydrodynamics (MHD), producing stronger gradients across the large-scale mean magnetic field than along it. This occurs both globally and locally, and has significant implications in space and astrophysical plasmas, including particle scattering and transport, and theories of turbulence. Properties of local correlation anisotropy are further documented here by showing through numerical experiments that the effect is intensified in more localized estimates of the mean field. The mathematical formulation of this property shows that local anisotropy mixes second-order with higher order correlations. Sensitivity of local statistical estimates to higher order correlations can be understood in connection with the stochastic coordinate system inherent in such formulations. We demonstrate this in specific cases, and illustrate the connection to higher order statistics by showing the sensitivity of local anisotropy to phase randomization, after which the global measure of anisotropy is recovered at all scales of averaging. This establishes that anisotropy of the local structure function is not a measure of anisotropy of the energy spectrum. Evidently, the local enhancement of correlation anisotropy is of substantial fundamental interest and must be understood in terms of higher order correlations, specifically fourth-order and above. © 2012. The American Astronomical Society. All rights reserved. |
format |
Artículo Artículo publishedVersion |
author |
Matthaeus, W.H. Servidio, S. Dmitruk, P. Carbone, V. Oughton, S. Wan, M. Osman, K.T. |
author_facet |
Matthaeus, W.H. Servidio, S. Dmitruk, P. Carbone, V. Oughton, S. Wan, M. Osman, K.T. |
author_sort |
Matthaeus, W.H. |
title |
Local anisotropy, higher order statistics, and turbulence spectra |
title_short |
Local anisotropy, higher order statistics, and turbulence spectra |
title_full |
Local anisotropy, higher order statistics, and turbulence spectra |
title_fullStr |
Local anisotropy, higher order statistics, and turbulence spectra |
title_full_unstemmed |
Local anisotropy, higher order statistics, and turbulence spectra |
title_sort |
local anisotropy, higher order statistics, and turbulence spectra |
publishDate |
2012 |
url |
http://hdl.handle.net/20.500.12110/paper_0004637X_v750_n2_p_Matthaeus |
work_keys_str_mv |
AT matthaeuswh localanisotropyhigherorderstatisticsandturbulencespectra AT servidios localanisotropyhigherorderstatisticsandturbulencespectra AT dmitrukp localanisotropyhigherorderstatisticsandturbulencespectra AT carbonev localanisotropyhigherorderstatisticsandturbulencespectra AT oughtons localanisotropyhigherorderstatisticsandturbulencespectra AT wanm localanisotropyhigherorderstatisticsandturbulencespectra AT osmankt localanisotropyhigherorderstatisticsandturbulencespectra |
_version_ |
1769810068474167296 |