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Abstract:

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.

Registro:

Documento: Artículo
Título:Local anisotropy, higher order statistics, and turbulence spectra
Autor:Matthaeus, W.H.; Servidio, S.; Dmitruk, P.; Carbone, V.; Oughton, S.; Wan, M.; Osman, K.T.
Filiación:Department of Physics and Astronomy, University of Delaware, DE, United States
Dipartimento di Fisica, Universita della Calabria, I-87036 Cosenza, Italy
Departamento de Física (FCEN-UBA and IFIBA-CONICET), Buenos Aires, Argentina
Department of Mathematics, University of Waikato, Hamilton 3240, New Zealand
Centre for Fusion, Space and Astrophysics, University of Warwick, CV4 7AL Coventry, United Kingdom
Palabras clave:interplanetary medium; magnetic fields; magnetohydrodynamics (MHD); methods: data analysis; solar wind; turbulence
Año:2012
Volumen:750
Número:2
DOI: http://dx.doi.org/10.1088/0004-637X/750/2/103
Título revista:Astrophysical Journal
Título revista abreviado:Astrophys. J.
ISSN:0004637X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0004637X_v750_n2_p_Matthaeus.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v750_n2_p_Matthaeus

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Citas:

---------- APA ----------
Matthaeus, W.H., Servidio, S., Dmitruk, P., Carbone, V., Oughton, S., Wan, M. & Osman, K.T. (2012) . Local anisotropy, higher order statistics, and turbulence spectra. Astrophysical Journal, 750(2).
http://dx.doi.org/10.1088/0004-637X/750/2/103
---------- CHICAGO ----------
Matthaeus, W.H., Servidio, S., Dmitruk, P., Carbone, V., Oughton, S., Wan, M., et al. "Local anisotropy, higher order statistics, and turbulence spectra" . Astrophysical Journal 750, no. 2 (2012).
http://dx.doi.org/10.1088/0004-637X/750/2/103
---------- MLA ----------
Matthaeus, W.H., Servidio, S., Dmitruk, P., Carbone, V., Oughton, S., Wan, M., et al. "Local anisotropy, higher order statistics, and turbulence spectra" . Astrophysical Journal, vol. 750, no. 2, 2012.
http://dx.doi.org/10.1088/0004-637X/750/2/103
---------- VANCOUVER ----------
Matthaeus, W.H., Servidio, S., Dmitruk, P., Carbone, V., Oughton, S., Wan, M., et al. Local anisotropy, higher order statistics, and turbulence spectra. Astrophys. J. 2012;750(2).
http://dx.doi.org/10.1088/0004-637X/750/2/103