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The permittivity tensor and bounce resonance effects on wave dissipation in toroidal plasmas

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Abstract

The asymptotic solution of Vlasov's equation in the drift approximation for a toroidal plasma geometry with circular magnetic surfaces is presented. The method of solution introduces Jacobi functions as variables, making it possible to obtain results in a relatively simple manner. The analytic evaluation of the parallel components of the dielectric permittivity tensorε 3j is shown and the resulting strong influence of the bounce resonance of untrapped electrons on the wave dissipation is discussed. Additionally, a numerical calculation ofε 33, together with a comparison between the toroidal and the cylindrical (Landau damping) results, are presented.

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Authors and Affiliations

  1. Instituto de Física, Universidade do Estado do Rio de Janeiro, 20550-013, RJ, Brazil

    E. S. Cheb-Terrab & A. G. Elfimov

Authors
  1. E. S. Cheb-Terrab
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  2. A. G. Elfimov
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Additional information

The authors wish to thank Katherina von Bülow, from the Mathematical Institute of UERJ, for fruitful comments and careful reading of this paper, and CNPq of Brazil for financial support.

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Cheb-Terrab, E.S., Elfimov, A.G. The permittivity tensor and bounce resonance effects on wave dissipation in toroidal plasmas. Czech J Phys 46, 595–605 (1996). https://doi.org/10.1007/BF01690678

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  • DOI: https://doi.org/10.1007/BF01690678

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