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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

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