Anisotropies of the Taylor Scale, Correlation Scale, and Effective Magnetic Reynolds Number Determination from Plasma Sheet and Magnetic Field Fluctuations

Details Anisotropies of the Taylor Scale, Correlation Scale, and Effective Magnetic Reynolds Number Determination from Plasma Sheet and Magnetic Field Fluctuations Anisotropies of the Taylor Scale, Correlation Scale, and Effective Magnetic Reynolds Number Determination from Plasma Sheet and Magnetic Field Fluctuations

Dec 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufmsm24a..06w&link_type=abstract

American Geophysical Union, Fall Meeting 2008, abstract #SM24A-06

Physics

2744 Magnetotail, 2764 Plasma Sheet, 4490 Turbulence (3379, 4568, 7863), 7839 Nonlinear Phenomena (4400, 6944)

Scientific paper

Cluster data from many different intervals in the magnetospheric plasma sheet are employed to determine the magnetic correlation scale and the Taylor microscale from simultaneous multiple point measurements. For this study we define the correlation scale as the exponential decay constant of the correlation coefficient as a function of spacecraft separation and the Taylor scale as the radius of curvature of the correlation coefficient values at zero separation. The present determination of the Taylor scale makes use of a novel extrapolation technique to derive a statistically stable estimate from a range of measurements at small spatial separations [Weygand et al., 2007]. Using all the plasma sheet data the Taylor scale length is found to be largest (about 3,000 km) in the direction parallel to the magnetic field and smallest (about 1,200 km) in the direction perpendicular to the magnetic field. Similarly, the correlation scale length is found to be largest (about 16,000 km) in the direction parallel to the magnetic field and smallest (about 9,000 km) in the direction perpendicular to the magnetic field. However, the parallel correlation scale systematically decreases with increasing geomagnetic activity while the perpendicular correlation systematically increases. The effective magnetic Reynolds number can be expressed in terms of the correlation scale and the Taylor scale. The difference in the Taylor and correlation scale in the parallel and perpendicular direction indicates that the effective magnetic Reynolds number varies with the direction of the magnetic field and has values between 10 and 200. Knowledge of the effective magnetic Reynolds number may be useful in magnetohydrodynamic modeling of the magnetosphere and the solar wind and may provide constraints on kinetic theories of dissipation in space plasmas.

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