Shear flow instabilities in the earth's plasma sheet region

Physics

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Current Sheets, Magnetohydrodynamic Flow, Magnetohydrodynamic Stability, Plasma Compression, Shear Flow, Solar Wind, Geomagnetic Tail, Geomagnetism, Kelvin-Helmholtz Instability, Neural Nets, Plasma-Electromagnetic Interaction

Scientific paper

Shear flow instability arising from the velocity shear between the inner and the outer central plasma sheet regions is studied by treating the plasma as compressible. Based on the linearized magnetohydrodynamic (MHD) equations, dispesion relations for the surface wave modes occurring at the boundary of the inner central plasma sheet (ICPS) and the outer central plasma sheet (OCPS) are derived. The growth rates and the eigenmode frequencies are obtained numerically. Three data sets consisting of parameters relevant to the earth's magnetotail are considered. The plasma sheet region is found to be stable for constant plasma flows unless M(sub A) greater than 9.6, where M(sub A) is the Alfven Mach number in the ICPS. However, for a continuously varying flow velocity profile in the ICPS, the instability is excited for M(sub A) is greater than or equal to 1.4. The excited modes have oscillation periods of 2-10 min and 1.5-6 s, and typical transverse wavelengths of 30-100 R(sub E) and 0.5-6 R(sub E) for data sets 1 and 2 (i.e., case of no neutral sheet) respectively. For the data set 3, which corresponds to a neuotral sheet at the center of the plasma sheet, the excited oscillations have periods of 2 s-1 min with transverse wavelengths of 0.02-1 R(sub E).

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