Tsallis distributions of magnetic field strength variations in the heliosphere: 5 to 90 AU

Details Tsallis distributions of magnetic field strength variations in the heliosphere: 5 to 90 AU Tsallis distributions of magnetic field strength variations in the heliosphere: 5 to 90 AU

Jul 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007jgra..11207206b&link_type=abstract

Journal of Geophysical Research, Volume 112, Issue A7, CiteID A07206

Physics

14

Interplanetary Physics: Interplanetary Magnetic Fields, Interplanetary Physics: Mhd Waves And Turbulence (2752, 6050, 7836), Interplanetary Physics: Solar Wind Plasma, Interplanetary Physics: Interplanetary Shocks

Scientific paper

The Tsallis (q-exponential) distribution function, derived from the entropy principle of nonextensive statistical mechanics, describes fluctuations in the magnetic field strength on many scales throughout the heliosphere. This paper shows that a one-dimensional multifluid magnetohydrodynamic (MHD) model, with Advanced Composition Explorer (ACE) observations at 1 AU as input, predicts Tsallis distributions between 5 and 90 AU on scales from 1 to 128 days. At a scale of 1 day, the radial variation of the entropic index q decreases from q >= 5/3 at R <= 50 AU to q <= 5/3 at R >= 60 AU, corresponding to a change from a divergent to a convergent second moment of the Tsallis distribution, suggesting the possibility of a ``phase transition'' and/or a relaxation effect at ~60 AU. The Tsallis distribution derived from the time series of one-dimensional MHD model is nearly identical to those observed by Voyager 1 at ~80 AU over the scales from 1 to 64 days during the year 2000. The Tsallis distribution appears over a wide range of scales and distances despite the complex nonlinear dynamical evolution of the heliospheric magnetic field during 1999/2000.

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