Linear theory of the E x B instability with an inhomogeneous electric field

Physics

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Electric Fields, Ionospheric Ion Density, Magnetohydrodynamic Stability, Plasma-Electromagnetic Interaction, Collisional Plasmas, F Region, Linear Equations, Magnetic Fields, Nonuniform Plasmas, Plasma Dynamics, Plasma Equilibrium, Plasma Resonance

Scientific paper

A general linear theory of the E x B instability is elaborated which considers an ambient electric field at an arbitrary angle to the density gradient and allows the electric field component parallel to the density gradient to be inhomogeneous. A differential equation that describes the mode structure of the unstable waves in the direction of the inhomogeneities is derived. The theory encompasses ion inertial effects, allows for arbitrary density and electric field profiles, and is valid in the long-wavelength regime. The analysis finds that the inhomogeneous velocity flow caused by the inhomogeneous electric field can stabilize the instability and that short-wavelength modes are preferentially stabilized over modes of longer wavelengths. The stabilization mechanism is found to be associated with the velocity shear arising from an x-dependent resonance.

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