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Candidate mode for electron thermal energy transport in multi-keV plasmas

Phys. Fluids B 2, 2322 (1990); doi:10.1063/1.859497

Issue Date: October 1990

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B. Coppi, S. Migliuolo, and Y-K. Pu
Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
The linear and quasilinear theory of the collisionless trapped electron mode (also called the ``ubiquitous'' mode) is analyzed, in order to illustrate its possible role in the electron thermal energy transport observed in magnetically confined plasmas. This instability is driven by the combined effects of the plasma pressure gradient (which includes the contributions from the temperature gradients of ions and electrons) and of the local magnetic curvature drift of trapped electrons and of circulating and trapped ions. Depending on the value of its wavelength across the magnetic field, this mode can connect with a branch of the ion temperature gradient instability, provided the ion temperature gradient is sufficiently strong. Also, under certain conditions, it can be driven unstable solely by a combination of electron temperature gradient and Landau damping by trapped electrons. The relevant modes are found to be robust against variation of parameters such as the electron collisionality, and to be consistent candidates in order to explain the experimentally observed rate of electron thermal energy transport from the center of the plasma column. Physics of Fluids B: Plasma Physics is copyrighted by The American Institute of Physics.
History: Received 4 December 1989; accepted 14 June 1990
Permalink: http://dx.doi.org/10.1063/1.859497
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KEYWORDS and PACS

Keywords
PACS
  • 52.35.Py
    The physics of plasmas and electric discharges Waves, oscillations, and instabilities in plasma Plasma macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, RayleighTaylor)
  • 52.25.Fi
    The physics of plasmas and electric discharges Plasma properties Transport properties
  • 52.55.Fa
    The physics of plasmas and electric discharges Plasma equilibrium and confinement Tokamaks
  • YEAR: 1990

PUBLICATION DATA

ISSN:
0899-8221 (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (45)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. E. Mazzucato, Phys. Rev. Lett. 48, 1828 (1982).
  2. M. N. Rosenbluth, R. D. Hazeltine, and F. L. Hinton, Phys. Fluids 15, 116 (1972).
  3. B. Coppi and G. Rewoldt, Phys. Rev. Lett. 33, 1329 (1974).
  4. B. Coppi and G. Rewoldt, Phys. Lett. A 49, 36 (1974).
  5. B. Coppi and F. Pegoraro, Nucl. Fusion 17, 969 (1977).
  6. G. Rewoldt, W. M. Tang, and E. A. Frieman, Phys. Fluids 23, 2011 (1980).
  7. B. B. Kadomtsev and O. P. Pogutse, Sov. Phys. JETP 24, 1172 (1967);
  8. Sov. Phys. Dokl. 14, 470 (1969).
  9. L. I. Rudakov and R. Z. Sagdeev, Sov. Phys. Dokl. 6, 415 (1961).
  10. B. Coppi, M. N. Rosenbluth, and R. Z. Sagdeev, Phys. Fluids 10, 582 (1967).
  11. B. Coppi and C. Spight, Phys. Rev. Lett. 41, 551 (1978).
  12. T. M. Antonsen, B. Coppi, and R. Englade, Nucl. Fusion 19, 681 (1979).
  13. Y.-K. Pu and S. Migliuolo, Phys. Fluids 28, 1722 (1985).
  14. S. Migliuolo, Phys. Fluids 28, 2778 (1985).
  15. S. Migliuolo, Phys. Fluids 30, 922 (1987).
  16. O. Gehre, O. Gruber, H. D. Murmann, D. E. Roberts, F. Wagner, B. Bomba, A. Eberhagen, H. U. Fahrbach, G. Fussmann, J. Gernhardt, K. Hubner, G. Janeschitz, K. Lackner, E. R. Muller, H. Niedermeyer, H. Rohr, G. Staudenmeier, K. H. Steuer, and O. Vollmer, Phys. Rev. Lett. 60, 1502 (1988).
  17. F. X. Soldner, E. R. Muller, F. Wagner, H. S. Bosch, A. Eberhagen, H. U. Fahrbach, G. Fussmann, O. Gehre, K. Gentle, J. Gernhardt, O. Gruber, W. Herrmann, G. Janeschitz, M. Kornherr, K. Krieger, H. M. Mayer, K. McCormick, H. D. Murmann, J. Neuhauser, R. Nolte, W. Poschenrieder, H. Rohr, K. H. Steuer, U. Stroth, N. Tsois, and H. Verbech, Phys. Rev. Lett. 61, 1105 (1988).
  18. B. Coppi, Phys. Rev. Lett. 39, 939 (1977).
  19. B. Coppi, J. Filreis, and F. Pegoraro, Ann. Phys. (NY) 121, 1 (1979).
  20. M. Bornatici, F. Engelmann, A. Nocentini, F. Pegoraro, and T. Schep, in Plasma Physics and Controlled Nuclear Fusion Research 1978 (IAEA, Vienna, 1979), Vol. 1, p. 519.
  21. J. W. Connor, R. J. Hastie, and J. B. Taylor, Phys. Rev. Lett. 40, 396 (1978).
  22. A. H. Glasser, in Proceedings of the Finite Beta Theory Workshop, edited by B. Coppi and W. Sadowski (U.S. Department of Energy, Washington, DC, 1979), p. 55.
  23. Y. C. Lee and J. W. Van Dam, in Proceedings of the Finite Beta Theory Workshop, edited by B. Coppi and W. Sadowski (U.S. Department of Energy, Washington, DC, 1979), p. 93.
  24. F. Pegoraro and T. J. Schep, Phys. Fluids 24, 478 (1981).
  25. B. Coppi, G. Laval, R. Pellat, and M. N. Rosenbluth, Plasma Phys. 10, 1 (1968).
  26. M. N. Rosenbluth, Phys. Fluids 11, 869 (1968).
  27. P. H. Rutherford and E. A. Frieman, Phys. Fluids 11, 569 (1968).
  28. T. M. Antonsen, Jr. and B. Lane, Phys. Fluids 23, 1205 (1980).
  29. B. Coppi, Riv. Nuovo Cimento 1, 357 (1969).
  30. B. Coppi and G. Rewoldt, in Advances in Plasma Physics, edited by A. Simon and W. B. Thompson, (Interscience, New York, 1976), Vol. 6, p. 421.
  31. G. Rewoldt, W. M. Tang, and M. S. Chance, Phys. Fluids 25, 480 (1982).
  32. Y.-K. Pu, Ph.D. thesis, Massachusetts Institute of Technology, 1988.
  33. T. J. Schep, B. J. Braams, and F. Pegoraro, Phys. Fluids 25, 1871 (1982).
  34. B. D. Fried and S. E. Conte, The Plasma Dispersion Function (Academic, New York, 1961).
  35. G. Rewoldt, W. M. Tang, and R. J. Hastie, Phys. Fluids 30, 807 (1987).
  36. T. Crowley and E. Mazzucato, Nucl. Fusion 25, 2055 (1987).
  37. D. L. Brower, W. A. Peebles, and N. C. Luhmann, Jr., Nucl. Fusion 27, 2055 (1987).
  38. See National Technical Information Service Document No. TID-27157 [“An Introduction to Trapped Particle Instability in Tokamaks” by W. M. Manheimer (1977), ERDA Critical Review Series—Advances in Fusion Science and Engineering]. Copies may be ordered from the National Technical Information Service, Springfield, Virginia 22161. The price is $4.75 plus a $3.00 handling fee.
  39. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis (Interscience, New York, 1964).
  40. P. N. Guzdar, L. Chen, W. M. Tang, and P. H. Rutherford, Phys. Fluids 26, 673 (1983).
  41. B. Coppi, S. Cowley, P. Detragiache, R. Kulsrud, F. Pegoraro, and W. Tang, in Plasma Physics and Controlled Nuclear Fusion Research 1984 (IAEA, Vienna, 1985), Vol. 2, p. 93.
  42. B. Coppi, Comments Plasma Phys. 12, 319 (1989).
  43. P. N. Guzdar, C. S. Liu, J. Q. Dong, and Y. C. Lee, Phys. Rev. Lett. 57, 2818 (1987).
  44. Y. C. Lee, J. Q. Dong, P. N. Guzdar, and C. S. Liu, Phys. Fluids 30, 1331 (1987).
  45. W. Horton, B. G. Hong, and W. M. Tang, Phys. Fluids 31, 2917 (1988).
  46. G. Rewoldt and W. M. Tang, Phys. Fluids B 2, 318 (1990).

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