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Specificity of Parker instability in polytropic disks

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Abstract

The specificity of the Parker instability in the disks in the presence of the polytropic connection between the equilibrium pressure and density\((P_0 + P_{B_0 } ) \sim \rho _0^{1 + 1/a}\) is investigated.

It is shown that, in contrary to the caseV A=const., the even and odd (with reference to the disk perpendicular coordinate) modes consist of non-finite sum of the harmonics, and that the zero (fundamental) harmonic of the even mode, which has the definite wave numberK=K * will mainly increase. Consequently, this very harmonic will determine the structure, obtained as a result of the Parker instability development.

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Chagelishvili, G.D., Lominadze, J.G. & Sokhadze, Z.A. Specificity of Parker instability in polytropic disks. Astrophys Space Sci 141, 361–374 (1988). https://doi.org/10.1007/BF00639502

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