Abstract
The asymptotic solution of the Vlasov equation under the drift approximation, for an axially symmetric toroidal plasma configuration with an elliptic cross section of magnetic surfaces, is presented. The analytical expressions for the parallel component of the dielectric permittivity tensor are obtained. These expressions are used for theoretical analyses of the trapped and untrapped electron influence on the collisionless 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 electrons in tokamak plasmas.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
The JET Team:in Proc. 14th Int. Conf. on Plasma Physics and Contr. Nucl. Fusion Res., Wurzburg 1992, IAEA, Vienna, 1993, Vol. 1, p. 587.
Pinsker R.I. et al. (D-III-D Team):in Proc. 14th Int. Conf. on Plasma Physics and Contr. Nucl. Fusion Res., Würzburg 1992. IAEA, Vienna, 1993, Vol. 1, p. 683.
Elfimov A.G., Kirov A.G., and Sidorov V.P.:in High Frequency of Plasma Heating (Ed. Litvak A.G.), Transl. Series, AIP, New York, 1992, p. 239.
Akhiezer A.I., Akhiezer I.A., Polovin R.V., Sitenko A.G., and Stepanov K.N.:in Plasma Electrodynamics (Ed. Akhiezer A.I.), Pergamon Press, Oxford, 1975.
Belikov V.S., Kolesnichenko Ya.I., and Mikhailovskij A.B.: Sov. J. Plasma Phys.3 (1977) 146.
Cattanei G. and Croci R.: Nuclear Fusion17 (1977) 239.
Kaladze T.D., Pyatak A.I., and Stepanov K.N.: Sov. J. Plasma Phys.8 (1982) 823.
Landau L.D.: Zh. Eksp. Teor. Fiz.16 (1946) 574.
Nekrasov F.M.: Sov. J. Plasma Phys.16 (1990) 35.
Grishanov N.I. and Nekrasov F.M.: Sov. J. Plasma Phys.16 (1990) 129.
Elfimov A.G. and Puri S.: Nuclear Fusion30 (1990) 1215.
S. Puri: Czech. J. Phys.43 (1993) 631.
Nekrasov F.M.: Sov. J. Plasma Phys.18 (1992) 520.
Elfimov A.G. and E.S. Cheb-Terrab:in Contr. Papers of Int. Conf. on plasma phys., Foz do Iguaću (Brazil), Nov. 1994, Vol. 1, p. 337.
Cheb-Terrab E.S. and Elfimov A.G.: Czech. J. Phys. (accepted for publication).
Gradshteyn I.S. and Ryzhik I.M.: Table of Integrals, Series and Products, Academic Press, San Diego (California), 1980.
Abramowitz M. and Stegun I.A.: Handbook of Mathematical Functions, Dover Publication Inc., New York, 1972, p. 555–587.
Author information
Authors and Affiliations
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).
Rights and permissions
About this article
Cite this article
Nekrasov, F.M., Elfimov, A.G., Tsypin, V.S. et al. The parallel permittivity of magnetized toroidal plasmas with elliptic magnetic surfaces. Czech J Phys 46, 565–586 (1996). https://doi.org/10.1007/BF01690676
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01690676