Abstract
Dynamic stabilization of straight and toroidal current-carrying plasma jets by a high-frequency quadrupole magnetic field was proposed by Osovets [1]. A more rigorous theoretical analysis of the problem was performed by Levin and Rabinovich [2], who obtained a Routh function for studying the dynamics of the filament in various magnetic fields for a thin filament experiencing longwave serpentine- and construction-type disturbances. In this paper, the method proposed in [2] is applied to the stabilization of a plasma filament in which (as distinct from [1,2]) flows an alternating current while the quadrupole field is either constant, or varies at a high frequency, as in [1,2].
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References
S. M. Osovets, “Dynamic stabilization of a plasma filament,” ZhETF, vol. 39, no. 2, 1960.
M. L. Levin and M. S. Rabinovich, “Alternating-gradient focusing technique for stabilizing straight and toroidal discharges,” Zh. tekhn. fiz., vol. 33, no. 2, 1963.
T. Hayashi, Forced Oscillations in Nonlinear Systems [Russian translation], Izd-vo inostr. lit., Moscow, 1957.
G. S. Gorelik, Resonance phenomena in linear systems with periodically varying parameters,” Zh. tekhn. fiz., vol. 4, no. 10, 1934.
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The author is indebted to M. L. Levin for useful discussions and advice.
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Nikulin, M.G. Stabilization of an alternating-current-carrying plasma filament by a quadrupole magnetic field. J Appl Mech Tech Phys 9, 633–640 (1968). https://doi.org/10.1007/BF00912863
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DOI: https://doi.org/10.1007/BF00912863