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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Detalles Bibliográficos
Autor principal:	Dmitruk, Pablo Ariel
Publicado:	2012
Materias:	interplanetary medium magnetic fields magnetohydrodynamics (MHD) methods: data analysis solar wind turbulence
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v750_n2_p_Matthaeus http://hdl.handle.net/20.500.12110/paper_0004637X_v750_n2_p_Matthaeus
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_0004637X_v750_n2_p_Matthaeus
record_format	dspace
spelling	paper:paper_0004637X_v750_n2_p_Matthaeus2023-06-08T14:29:06Z Local anisotropy, higher order statistics, and turbulence spectra Dmitruk, Pablo Ariel 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v750_n2_p_Matthaeus 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)
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 Dmitruk, Pablo Ariel 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.
author	Dmitruk, Pablo Ariel
author_facet	Dmitruk, Pablo Ariel
author_sort	Dmitruk, Pablo Ariel
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	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v750_n2_p_Matthaeus http://hdl.handle.net/20.500.12110/paper_0004637X_v750_n2_p_Matthaeus
work_keys_str_mv	AT dmitrukpabloariel localanisotropyhigherorderstatisticsandturbulencespectra
_version_	1768546001245700096

Local anisotropy, higher order statistics, and turbulence spectra

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