Advertisement

Il Nuovo Cimento B (1971-1996)

, Volume 75, Issue 1, pp 78–86 | Cite as

Current generation by electron cyclotron waves

  • D. Farina
  • M. Lontano
  • R. Pozzoli
Article

Summary

We compute the steady-state current density generated by electron cyclotron waves injected in the plasma, almost perpendicularly to the external magnetic field, taking into account the relativistic effects on the shape of the resonant region in velocity space. The current-carrying distribution function relevant to the presence of a turbulence of ordinary waves with a frequency close to the electron cyclotron frequency is analytically computed. The behaviour of the induced current densityJ and of the ratioJ/P between the current density and the powerP absorbed by the plasma, as functions of the frequency of the wave and of the angular spread Δθ of the wave vectors, that characterize the turbulent spectrum, are given.

Key words

Waves oscillations and instabilities in plasma 

Генерация тока электронными циклотронными волнами

Аннотация

Мы вычисляем стационарную п образованного электронными циклотронными волнами, инжектированными в плазму почти перпендикулярно внешнему магнитному полю, учитывая релятивистские эффекты при рассмотрении формы резонансной области в пространстве скоростей. Аналитически вычисляется функция распределения тока, учитывающая турбулентность обычных волн с частотой, близкой к электронной циклотронной частоте. Описывается поведение плотности индуцированного токаJ и отношенияJ/P между плотностью тока и мощностьюP, поглощаемой плазмой, в зависимости частоты волны и угловой расходимости Δθ волновых векторов, которые характеризуют турбулентный спектр.

Riassunto

Si calcola la densità di corrente longitudinale (rispetto al campo magnetico esternoB0) che è generata, in condizioni stazionarie, dall’iniezione di onde alla frequenza ciclotronica elettronica in direzione quasi perpendicolare aB0; a questo scopo si considerano gli effetti relativistici sulla forma della regione risonante nello spazio delle velocità. La modificazione della funzione di distribuzione imperturbata, indotta dalla presenza di una turbolenza di onde ordinarie con una frequenza prossima alla frequenza ciclotronica elettronica, è calcolata analiticamente. Si studia il comportamento della densità di correnteJ e del rapportoJ/P, tra la densità di corrente e la potenzaP assorbita dal plasma, in dipendenza della frequenza dell’onda e dell’allargamento angolare Δθ dei vettori d’onda che caratterizzano lo spettro della turbolenza.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    N. J. Fisch:Phys. Rev. Lett.,41, 873 (1978).ADSCrossRefGoogle Scholar
  2. (2).
    R. Klima, A. V. Longinov:Sov. J. Plasma Phys.,5, 277 (1979).ADSGoogle Scholar
  3. (3).
    C. F. F. Karney andN. J. Fisch:Phys. Fluids,22, 1817 (1979).ADSCrossRefGoogle Scholar
  4. (4).
    D. K. Bhadra:Nucl. Fusion.,20, 619 (1980).ADSCrossRefGoogle Scholar
  5. (5).
    N. J. Fisch andA. H. Boozer:Phys. Rev. Lett.,45, 720 (1980).ADSCrossRefGoogle Scholar
  6. (6).
    O. C. Eldridge: Report ORNL/TM-7503, Oak Ridge National Laboratory (1980).Google Scholar
  7. (7).
    P. B. Parks andF. B. Marcus:Nucl. Fusion,21, 1207 (1981).ADSCrossRefGoogle Scholar
  8. (8).
    C. F. F. Karney andN. J. Fisch:Nucl. Fusion,21, 1549 (1981).CrossRefGoogle Scholar
  9. (9).
    V. V. Parail andG. V. Pereverzev:Proceedings of the X European Conference on Controlled Fusion and Plasma Physics, Vol.1 (Moscow, 1981), H-17.Google Scholar
  10. (10).
    J. G. Cordey, T. Edlington andD.F. H. Start:Plasma Phys.,24, 73 (1982).ADSCrossRefGoogle Scholar
  11. (11).
    R. A. Cairns, J. Owen andC. N. Lashmore Davies:Proceedings of the III Joint Varenna-Grenoble International Symposium on Heating in Toroidal Plasmas, Vol.3 (Grenoble, 1982), p. 863.Google Scholar
  12. (12).
    D. Farina, M. Lontano andR. Pozzoli:Proceedings of 1982 International Conference on Plasma Physics (Göteborg, 1982). p. 131.Google Scholar
  13. (13).
    N. J. Fisch:Proceedings of the III Joint Varenna-Grenoble International Symposium on Heating in Toroidal Plasmas, Vol.3 (Grenoble, 1982), p. 841.Google Scholar
  14. (14).
    V. S. Belikov, Ya. I. Kolesnichenko andI. S. Plotnik:Proceedings of 1982 International Conference on Plasma Physics (Göteborg, 1982), p. 116.Google Scholar
  15. (15).
    F. J. Paoloni, R. W. Motley, W. M. Hooke andS. Bernabei:Phys. Rev. Lett.,39, 1081 (1977).ADSCrossRefGoogle Scholar
  16. (16).
    K. L. Wong:Phys. Rev. Lett.,43, 438 (1979).ADSCrossRefGoogle Scholar
  17. (17).
    T. Yamamoto, T. Imai, M. Shimada, N. Suzuki, M. Maeno, S. Konoshima, T. Fujii, K. Uehara, T. Nagashima, A. Funahashi andN. Fujisawa:Phys. Rev. Lett.,45, 716 (1980).ADSCrossRefGoogle Scholar
  18. (18).
    J. E. Stevens, S. Bernabel, M. Bitter, F. Boody, N. Bowen, A. Cavallo, T. K. Chu, S. Cohen, P. Colestock, S. Davies, C. Daughney, F. Dylla, P. Efthimion, D. Herndon, E. Hinnov, W. Hooke, J. Hosea, J. Hovey, H. Hsuan, D. Hwang, D. Ignat, F. Jobes, R. Kaita, J. Lawson, A. Martin, E. Mazzucato, D. McNeill, S. Medley, E. Meservey, R. Motley, D. Mueller, D. Ruzic, J. Schivell, F. Schnabl, R. Schwartz, J. Strachan, S. Suckewer, S. vo Goeler andR. Wilson:Proceedings of the III Joint Varenna-Grenble International Symposium on Heating in Toroidal Plasmas, Vol.2 (Grenoble, 1982), p. 455.Google Scholar
  19. (19).
    M. W. Alcock, T. Edlington, P. A. Gaisford, T. C. Hender, B. Lloyd andD. C. Robinson:Proceedings of the X European Conference on Controlled Fusion and Plasma Physics, Vol.1 (Moscow, 1981), H-15.Google Scholar
  20. (20).
    R. Pozzoli andM. Scovenna: Report FP-79/14, Istituto di Fisica del Plasma, Associazione C.N.R.-EURATOM ilano (1979).Google Scholar
  21. (21).
    M. Lontano, R. Pozzoli andM. Scovenna:Proceedings of the International Conference on Plasma Physics (Nagoya, 1980), p. 131.Google Scholar
  22. (22).
    B. A. Trubnikov:Reviews of Plasma Physics, Vol.1 (New York, N. Y., 1985).Google Scholar

Copyright information

© Società Italiana di Fisica 1983

Authors and Affiliations

  • D. Farina
    • 1
  • M. Lontano
    • 1
  • R. Pozzoli
    • 1
  1. 1.Istituto di Fisica del PlasmaAssociazione C.N.R.-EURATOMMilano

Personalised recommendations