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On the theory of transversally small-scale modes in the cylindrical plasma column

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Abstract

The equation of small oscillations for a circular, cross-section plasma column with a helical magnetic field is obtained. It is shown that this equation is equivalent to the Hain–Lust equation. However, it has a much simpler form. The equation makes it possible to obtain a number of previously known results and to analyze transversally small-scale MHD perturbations. The criterion for the stability of these modes and the expression for the maximum increment are found. The areas of propagation of stable and unstable modes are defined. The obtained results can be used to interpret the behavior of solar magnetic tubes.

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Authors and Affiliations

  1. Space Research Institute, National Academy of Sciences of Ukraine, State Space Agency of Ukraine, prosp. Akadimika Glushkova 40, Kyiv, 03680, Ukraine

    O. K. Cheremnykh

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  1. O. K. Cheremnykh
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Correspondence to O. K. Cheremnykh.

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Original Russian Text © O.K. Cheremnykh, 2015, published in Kinematika i Fizika Nebesnykh Tel, 2015, Vol. 31, No. 5, pp. 3–19.

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Cheremnykh, O.K. On the theory of transversally small-scale modes in the cylindrical plasma column. Kinemat. Phys. Celest. Bodies 31, 213–224 (2015). https://doi.org/10.3103/S0884591315050025

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  • DOI: https://doi.org/10.3103/S0884591315050025

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