Spectral Properties and Length Scales of Two‐dimensional Magnetic Field Models | Zendy

W. H. Matthaeus | Zendy; J. W. Bieber | Zendy; D. Ruffolo | Zendy; P. Chuychai | Zendy; J. Minnie | Zendy

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Spectral Properties and Length Scales of Two‐dimensional Magnetic Field Models

Author(s) -

W. H. Matthaeus,

J. W. Bieber,

D. Ruffolo,

P. Chuychai,

J. Minnie

Publication year - 2007

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/520924

Subject(s) - physics , statistical physics , magnetic field , spectral density , wavenumber , observable , turbulence , random walk , field line , field (mathematics) , computational physics , scale (ratio) , diffusion , statistics , optics , meteorology , mathematics , quantum mechanics , pure mathematics , thermodynamics

Two-dimensional (2D) models of magnetic field fluctuations and turbulence are widely used in space, astrophys- ical, and laboratory contexts. Here we discuss some general properties of such models and their observable power spectra.Whilethefieldlinerandomwalkinaone-dimensional(slab)modelisdeterminedbythecorrelationscale,for 2Dmodels,itischaracterizedbyadifferentlengthscale,theultrascale.Wediscusspropertiesofcorrelationscalesand ultrascales for 2D models and present a technique for determining an ultrascale from observations at a single space- craft, demonstrating its accuracy for synthetic data. We also categorize how the form of the low-wavenumber spec- trum affects the correlation scales and ultrascales, thus controlling the diffusion of magnetic field lines and charged test particle motion. Subject headinggs: diffusion — magnetic fields — turbulence

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