The magnetohydrodynamic instability of a vertically ejected cylinder from the solar surface

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coronal Loops, Magnetohydrodynamic Stability, Plasma Acceleration, Plasma Cylinders, Solar Flares, Solar Magnetic Field, Magnetic Field Configurations, Pinch Effect, Skin Resistance, Solar Gravitation, Solar Oscillations, Solar Prominences

Scientific paper

The linear MHD instability of magnetized ejective cylinder perpendicular to solar surface is investigated and the general dispersion relation and its simplified equation under the quasi-homogeneous condition are given. It follows that (1) in the vertical case the growth rate ωarcsec increases while in the horizontal case it fluctuates around some value. (2) In the vertical case the cylinder responds to high frequencies, but in the horizontal case the reverse is true. (3) In the vertical case there seem to be the skin effect phenomena in various disturbed quantities but the horizontal ejection cylinder had none. (4) In both cases three modes exist simultaneously: pure oscillating, damping, and growing modes. (5) In both cases ωarcsec is very sensitive to the magnetic field ψ-component He0ψ, and as He0ψ→0, ωarcsec can decrease by several orders of magnitude, which indicates that the twisted magnetic field component is the primary factor causing the instability.

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