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Small-scale Alfvén waves localized near an extremum in the finite-amplitude perturbation of the radial plasma density profile

  • Plasma Oscillations and Waves
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Abstract

A study is made of electromagnetic waves localized in the region where the radial plasma density profile has an extremum between two local Alfvén resonances. Analytic expressions for the eigenfrequencies and eigenmodes are obtained. It is shown that kinetic and inertial Alfvén waves can propagate in the vicinity of a maximum and a minimum in the density profile, respectively. Passage to the limiting case in which the plasma density is nonuniform and has a parabolic profile is considered.

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References

  1. V. V. Dolgopolov and K. N. Stepanov, Nucl. Fusion 5, 276 (1965).

    Google Scholar 

  2. C. Uberoi, Phys. Fluids 15, 1673 (1972).

    Google Scholar 

  3. J. Tataronis and W. Grossman, Z. Phys. 261, 203 (1973).

    Google Scholar 

  4. L. Chen and A. Hasegawa, Phys. Fluids 17, 1399 (1974).

    ADS  Google Scholar 

  5. J. Vaclavik and K. Appert, Nucl. Fusion 31, 1945 (1991).

    Google Scholar 

  6. High-Frequency Plasma Heating, Ed. by A. G. Litvak (Am. Inst. of Physics, New York, 1992).

    Google Scholar 

  7. V. I. Lapshin, K. N. Stepanov, and E. A. Fedutenko, in Proceedings of the Joint Varenna-Abastumani International School and Workshop on Plasma Astrophysics, Varenna, 1988; ESA SP-285 1, 111 (1988).

  8. I. O. Girka, S. V. Kasilov, V. I. Lapshin, and K. N. Stepanov, Probl. At. Sci. Technol., Ser. Plasma Phys. (Kharkov), No. 1/2, 148 (1999).

  9. S. M. Mahajan, Phys. Fluids 27, 2238 (1984).

    Article  ADS  MATH  Google Scholar 

  10. I. O. Girka and P. P. Rutkevich, J. Kharkiv Nat. Univ., Phys. Ser.: Nuclei, Particles, Fields 3/15(529), 43 (2001).

    Google Scholar 

  11. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989; Pergamon Press, New York, 1977).

    Google Scholar 

  12. Plasma Electrodynamics, Ed. by A. I. Akhiezer et al. (Nauka, Moscow, 1974; Pergamon Press, Oxford, 1975).

    Google Scholar 

  13. T. H. Stix, Theory of Plasma Waves (McGrow-Hill, New York, 1962; Atomizdat, Moscow, 1965).

    Google Scholar 

  14. K. Appert, T. Hellsten, H. Luetjens, et al., in Proceedings of International Conference on Plasma Physics, Invited Papers, Kiev, 1987 (World Scientific, Singapore, 1987), Vol. 2, p. 1230.

    Google Scholar 

  15. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Ed. by M. Abramowitz and I. Stegun (National Bureau of Standards, Washington, 1964; Nauka, Moscow, 1979).

    Google Scholar 

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Authors and Affiliations

  1. Karazin National University, pl. Svobody 4, Kharkov, 61077, Ukraine

    I. O. Girka & P. P. Rutkevich

Authors
  1. I. O. Girka
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  2. P. P. Rutkevich
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__________

Translated from Fizika Plazmy, Vol. 29, No. 6, 2003, pp. 501–507.

Original Russian Text Copyright © 2003 by Girka, Rutkevich.

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Girka, I.O., Rutkevich, P.P. Small-scale Alfvén waves localized near an extremum in the finite-amplitude perturbation of the radial plasma density profile. Plasma Phys. Rep. 29, 466–472 (2003). https://doi.org/10.1134/1.1582513

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  • DOI: https://doi.org/10.1134/1.1582513

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