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The perpendicular permittivity of magnetized toroidal plasmas with elliptic magnetic surfaces

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Czechoslovak Journal of Physics Aims and scope

Abstract

The Vlasov equation for charged particles is analyzed in an axially symmetric toroidal plasma configuration with an elliptic cross section of magnetic surfaces. The asymptotic solution of the Vlasov equation is found. The analytical expressions for the perpendicular component of the dielectric permittivity tensor are obtained. These expressions are used for theoretical analyses of the trapped and untrapped ion influence on the collisionless cyclotron wave dissipation. The evaluated dielectric tensor components can be used for computer calculations of the radio frequency field structure and the collisionless dissipated power related to trapped and untrapped ions in tokamak plasmas. It is shown that ion cyclotron resonance dissipation in tokamaks depends on toroidicity and ellipticity parameters and does not depend on plasma temperature.

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Author notes

  1. A. S. de Assis

    Present address: Mathematic Institute - GMA, Fluminense Federal University, 24020-000, Niterói, RJ, Brazil

Authors and Affiliations

  1. Quantum Electronic Department, Physics Institute of Rio de Janeiro State University, 20550-013, Maracana, Rio de Janeiro, RJ, Brazil

    F. M. Nekrasov, A. G. Elfimov, C. A. de Azevedo & A. S. de Assis

Authors
  1. F. M. Nekrasov
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  2. A. G. Elfimov
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  3. C. A. de Azevedo
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  4. A. S. de Assis
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Additional information

This work was supported by the State University of Rio de Janeiro (UERJ), Rio de Janeiro Research Foundation (FAPERJ) and Brazilian National Council of Research (CNPq).

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Nekrasov, F.M., Elfimov, A.G., de Azevedo, C.A. et al. The perpendicular permittivity of magnetized toroidal plasmas with elliptic magnetic surfaces. Czech J Phys 47, 801–819 (1997). https://doi.org/10.1023/A:1021150620778

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  • DOI: https://doi.org/10.1023/A:1021150620778

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