Statistics – Computation
Scientific paper
Jun 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995sowi.confr..80m&link_type=abstract
Delaware Univ., International Solar Wind 8 Conference, p. 80
Statistics
Computation
Interplanetary Magnetic Fields, Two Dimensional Models, Algorithms, Magnetic Flux, Solar Wind, Random Walk, International Sun Earth Explorers, Magnetohydrodynamic Turbulence, Spectrum Analysis, Power Spectra, Scalars, Transport Properties, Astronomical Models
Scientific paper
A two-component model for the spectrum of interplanetary magnetic fluctuations was proposed on the basis of ISEE observations, and has found an intriguing level of application in other solar wind studies. The model fluctuations consist of a fraction of 'slab' fluctuations, varying only in the direction parallel to the locally uniform mean magnetic field B(0) and a complement of 2D (two-dimensional) fluctuations that vary in the directions transverse to B(0). We have developed an spectral method computational algorithm for computing the magnetic flux surfaces (flux tubes) associated with the composite model, based upon a precise analogy with equations for ideal transport of a passive scalar in planar two dimensional geometry. Visualization of various composite models will be presented, including the 80 percent 2D/ 20 percent slab model with delta B/B(0) approximately equals 1 and a minus 5/3 spectral law, that is thought to approximately represent a snapshot of solar wind turbulence. Characteristically, the visualizations show that flux tubes, even when defined as regular on some plane, shred and disperse rapidly as they are viewed along the parallel direction. This diffusive process, which generalizes the standard picture of field line random walk, will be discussed in detail. Evidently, the traditional picture that flux tubes randomize like strands of spaghetti with a uniform tangle along the axial direction is in need of modification.
Bieber John W.
Gray Perry C.
Matthaeus William H.
Pontius Duane Henry Jr.
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