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Dynamic stabilization of thin plasma filaments

Abstract

The Routh function is found for a fine plasma filament (toroidal and rectilinear), experiencing smooth long-wave hosepipe and constrictive perturbations in the case in which the external magnetic field is a combination of quadrupole and longitudinal fields. Different variants of dynamic stabilization of a filament are briefly discussed. Combined dynamic stabilization of a straight filament with an alternating current by means of constant quadrupole and longitudinal fields is investigated by averaging with respect to rapid oscillations.

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Literature cited

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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, Vol. 11, No. 1, pp. 24–31, January–February, 1970.

In conclusion the author wishes to thank M. L. Levin for useful discussions and advice.

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Nikulin, M.G. Dynamic stabilization of thin plasma filaments. J Appl Mech Tech Phys 11, 21–27 (1970). https://doi.org/10.1007/BF01102669

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Keywords

  • Magnetic Field
  • Mathematical Modeling
  • Mechanical Engineer
  • Industrial Mathematic
  • External Magnetic Field