Statistics – Applications
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jgr....89.2931h&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 89, May 1, 1984, p. 2931-2935. Research supported by the U.S. Defence Nuc
Statistics
Applications
5
Auroral Zones, Convection, Electrostatic Waves, Ionospheric Currents, Collisional Plasmas, F Region, Gas-Ion Interactions, Ionospheric Disturbances, Ionospheric Electron Density, Magnetohydrodynamic Stability
Scientific paper
A linear theory is presented of the current convective instability in the long wavelength limit, i.e., kL much less than 1, where k is the wave number and L is the scale length of the density inhomogeneity. A relatively simple dispersion equation is derived that describes the modes in this limit. Analytical solutions are presented in both the collisional (v/in/ much greater than omega) and inertial (v/in/ much less than omega) limits, where omega is the wave frequency and v(in) is the ion-neutral collision frequency. It is shown that the growth rate scales as k in the collisional limit and as k to the 2/3 power in the inertial limit. The analytical solutions are compared to exact numerical solutions, and very good agreement is found. Applications to the auroral ionosphere are discussed.
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