The collisionless macroscopic Kelvin-Helmholtz instabiity. I Transverse electrostatic mode

Details The collisionless macroscopic Kelvin-Helmholtz instabiity. I Transverse electrostatic mode The collisionless macroscopic Kelvin-Helmholtz instabiity. I Transverse electrostatic mode

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jgr....89..168p&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 89, Jan. 1, 1984, p. 168-178.

Physics

54

Collisionless Plasmas, Electrostatic Waves, Kelvin-Helmholtz Instability, Magnetohydrodynamic Stability, Magnetospheric Instability, Magnetohydrodynamic Flow, Propagation Modes, Solar Wind, Transverse Waves

Scientific paper

The electrostatic limit of the Kelvin-Helmholtz instability in a collisionless plasma is investigated for a magnetic field perpendicular to the velocity flow. A two-fluid eigenvalue analysis of the transverse electrostatic Kelvin-Helmholtz instability is performed using the Chew-Goldberger-Low hydromagnetic equations with first-order finite Larmer radius corrections, establishing that the transverse electrostatic mode reduces to the incompressible transverse MHD mode in the limit of zero ion gyroradius. The linear growth rates are determined and a strong stabilization of the instability for (k-perpendicular) (rho sub i) of 0.2 or greater is observed. The nonlinear stage of the instability displays large vortices whose size is many times the initial velocity shear length. At saturation the simulation is dominated by the longest-wavelength mode permitted in the system. The simulation results can be understood in terms of a simple model which assumes that saturation occurs when the angular frequency of the vortex motion reaches the linear growth rate of the instability.

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