Abstract
The dispersion equation of the low-freguency flute instability driven by the high-frequency electrostatic eigenmode excited in a plasma slab is studied. If the amplitude of h.f. mode is small the equation is solved and the explicit formula for the maximum growth rate is obtained. As an example we investigate this problem numerically for a slab with the parabolic density profile. In our model we are able to consider the heating only in the frequency band stretching from the lower hybrid frequency to the electron cyclotron frequency. For this case it follows from our calculation that the danger of the low-frequency disruption of a plasma in the process ofheating is serious.
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References
Kopecký V., Preinhaelter J., Czech. J. Phys.B 29 (1979), 389.
Mikhailovskii A. B.,in Problems of Plasma Theory, Vol. 3 (ed. M. A. Leontovich), Moscow 1963 (in Russian).
Chandrasekhar S., Hydrodynamic and hydromagnetic stability, Oxford 1961, p. 435.
Kamke E., Differentialgleichungen — Lösungsmethoden und Lösungen, Leipzig 1959.
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Kopecký, V., Preinhaelter, J. The flute instability of a plasma driven by the electrostatic high-frequency eigenmodes. Czech J Phys 29, 512–532 (1979). https://doi.org/10.1007/BF01600173
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DOI: https://doi.org/10.1007/BF01600173