Specificity of Parker instability in polytropic disks

Statistics – Computation

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Accretion Disks, Computational Astrophysics, Magnetohydrodynamic Stability, Polytropic Processes, Equilibrium Equations, Interstellar Magnetic Fields, Lines Of Force, Solar Magnetic Field

Scientific paper

This paper investigates the specificity of the Parker (1984) instability in the disks with finite perpendicular dimension, in particular, in the presence of the polytropic relation between the equilibrium pressure and the density. To single out the influence of the effect of disk limitation in the perpendicular direction on the Parker instability, the investigation is centered on the flat layer of the gas, where the gravitational acceleration is directed perpendicular to the layer and linearly depends on the distance from it. The Alfven velocity, V(A), is considered to be variable. It is shown that, unlike the case where the V(A) is constant, the even and odd modes (in reference to the disk perpendicular coordinate) consist of nonfinite sum of the harmonics, and that the zero (fundamental) harmonic of the even mode will mainly increase. Consequently, the structure obtained as a result of the Parker instability development will be determined by this fundamental harmonic.

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