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Parametric excitation of corkscrew instability of a θ-pinch by a high-frequency longitudinal current

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Abstract

Equilibrium conditions are given for a thin annularθ -pinch with high β in a magnetic field, transverse to the plane of the ring, exciting a high-frequency longitudinal current in the plasma. The parametric buildup of small corkscrew perturbations is studied on the basis of the model of a flexible straight plasma filament. Conditions under which parametric excitation may be suppressed are discussed. There is a brief discussion of forced oscillations of the radii of the annularθ -pinch caused by the alternating fields.

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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, Vol. 11, No. 2, pp. 21–27, March–April, 1970.

In conclusion, the author thanks M. L. Levin for interest in this study and valuable advice.

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Nikulin, M.G. Parametric excitation of corkscrew instability of a θ-pinch by a high-frequency longitudinal current. J Appl Mech Tech Phys 11, 216–221 (1970). https://doi.org/10.1007/BF00908097

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Keywords

  • Magnetic Field
  • Mathematical Modeling
  • Mechanical Engineer
  • Equilibrium Condition
  • Industrial Mathematic