Kelvin-Helmholtz instability in a compressible plasma with a magnetic field and velocity shear.

Details Kelvin-Helmholtz instability in a compressible plasma with a magnetic field and velocity shear. Kelvin-Helmholtz instability in a compressible plasma with a magnetic field and velocity shear.

Apr 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jatp...58..613g&link_type=abstract

Journal of Atmospheric and Terrestrial Physics, Vol. 58, No. 5, p. 613 - 623

Physics

Kelvin-Helmholtz Instability: Plasma, Kelvin-Helmholtz Instability: Earth Magnetosphere

Scientific paper

The development of the Kelvin-Helmholtz instability (KHI) in a compressible plasma containing a magnetic field is studied for a finite thick layer with a velocity shear in a linear two-dimensional MHD approximation. Approximate analytical expressions for the phase speed, growth rate and wavenumber of the fastest growing unstable mode are derived for the velocity profile across the layer with the velocity shear having a sudden onset, termed a sharp elbow. The dispersion equation is obtained from boundary conditions on the sharp elbow where the logarithmic derivative of the total pressure (or normal component of velocity) plays the main role. The KHI, driven by velocity shear, is considered as a possible generator of plasma oscillations in magnetospheric regions such as at the boundary between the inner plasma sheet and the plasmasphere, the boundary between the plasma sheet and the tail lobes and the boundary between the plasma sheet and the magnetopause. Analytical expressions for the phase speed, growth rate, period and wavenumber of the growing unstable mode obtained with some simplifying assumptions leads to values similar to the results of numerical analyses.

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