Abstract
Oscillations are considered of a lengthy thin plasma filament with finite conductivity in the strong axial magnetic field. It is analyzed whether it is possible that the development of the small-scale instability of the electrostatic type localized near a certain magnetic surface can be accompanied by the large-scale motion of the entire plasma volume, which is similar to the ideal MHD mode, for which the magnetic field perturbations are significant. For the instability associated with the ion temperature inhomogeneity, the amplitude of such a perturbation is found.
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Notes
The presence of the small-scale component with the small (of the order of \({{({{\delta }_{1}}{\text{/}}a)}^{2}}\)) relative amplitude is possible in the layer near the wall with a thickness of \({{\delta }_{1}} \ll a\), \({{\delta }_{1}} \propto {\text{|}}\eta {{{\text{|}}}^{{ - 1/2}}}\) [3]. The small-scale component can also be localized in the thin layer \(\lambda \propto {\text{|}}\eta {{{\text{|}}}^{{ - 1/2}}}\)in the vicinity of the radius, where the jump of plasma parameters is observed on their radial profiles [4]. (In [4], an error was made in the formula for λ: instead of the right power of –1/2, the power of quantity (\(1 - {{\omega }^{2}}{\text{/}}\omega _{{\text{A}}}^{2}\)) is 1/2. Since the case of \({\text{|}}{{\omega }^{2}}{\text{|/}}\omega _{{\text{A}}}^{2} \ll 1\) is further considered in [4], this error had no effect on the correctness of the results.)
REFERENCES
V. D. Shafranov, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Consultants Bureau, New York, 1967), Vol. 3, p. 1.
H. P. Furth, J. Killeen, and M. N. Rosenbluth, Phys. Fluids 6, 459 (1963).
V. V. Arsenin, Plasma Phys. Rep. 44, 996 (2018).
V. V. Arsenin, Plasma Phys. Rep. 45, 1177 (2019)].
B. B. Kadomtsev and O. P. Pogutse, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Consultants Bureau, New York, 1970), Vol. 5, p. 249.
K. Miyamoto, Fundamentals of Plasma Physics and Controlled Fusion (University of Tokyo, Tokyo, 2001).
N. A. Krall, in Advances in Plasma Physics, Ed. by A. Simon and W. B. Thompson (Interscience, New York, 1968), Vol. 1, p. 153.
P. H. Rutherford, H. P. Furth, and M. N. Rosenbluth, in Proceedings of the 4th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Madison, 1971, Paper CN 28/F-16, Plasma Phys. Controlled Nucl. Fusion Res. (IAEA, Vienna, 1971), Vol. 2, p. 553.
O. P. Pogutse and E. I. Yurchenko, Sov. J. Plasma Phys. 3, 283 (1977).
ACKNOWLEDGMENTS
Author is grateful to M.I. Mikhailov for helpful discussions.
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Translated by I. Grishina
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Arsenin, V.V. On the Issue of Large-Scale Helical Perturbations of Plasma Filament Caused by Small-Scale Instability. Plasma Phys. Rep. 47, 647–651 (2021). https://doi.org/10.1134/S1063780X21070047
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DOI: https://doi.org/10.1134/S1063780X21070047