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dc.contributor.authorMatthaeus, William H.
dc.contributor.authorServidio, Sergio
dc.contributor.authorDmitruk, Pablo
dc.contributor.authorCarbone, V.
dc.contributor.authorOughton, Sean
dc.contributor.authorWan, Minping
dc.contributor.authorOsman, Kareem T.
dc.date.accessioned2014-03-31T01:51:04Z
dc.date.available2014-03-31T01:51:04Z
dc.date.copyright2012-05-10
dc.date.issued2012
dc.identifier.citationMatthaeus, W. H., Servidio, S., Dumitruk, P., Carbone, V., Oughton, S., …, Osman, K. T. (2012). Local anisotropy, higher order statistics, and turbulence spectra. The Astrophysical Journal, 750(2), 103.en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/8581
dc.description.abstractCorrelation 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.en_NZ
dc.format.mimetypeapplication/pdf
dc.language.isoenen_NZ
dc.publisherIOP PUBLISHING LTDen_NZ
dc.relation.ispartofApJ
dc.rights© 2012 The American Astronomical Society.en_NZ
dc.subjectinterplanetary mediumen_NZ
dc.subjectmagnetic fieldsen_NZ
dc.subjectmagnetohydrodynamics (MHD) methodsen_NZ
dc.subjectdata analysisen_NZ
dc.subjectsolar winden_NZ
dc.subjectturbulenceen_NZ
dc.titleLocal anisotropy, higher order statistics, and turbulence spectraen_NZ
dc.typeJournal Articleen_NZ
dc.identifier.doi10.1088/0004-637x/750/2/103en_NZ
dc.relation.isPartOfThe Astrophysical Journalen_NZ
pubs.begin-page1en_NZ
pubs.elements-id38247
pubs.end-page5en_NZ
pubs.issue2en_NZ
pubs.volume750en_NZ
uow.identifier.article-noARTN 103en_NZ


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