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Physics of Fluids / Volume 26 / Issue 9
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Phys. Fluids 26, 2509 (1983); http://dx.doi.org/10.1063/1.864441 (20 pages)

Stabilization of the tearing mode in high‐temperature plasma

J. F. Drake, T. M. Antonsen, A. B. Hassam, and N. T. Gladd

Laboratory for Plasma and Fusion Energy Studies, University of Maryland, College Park, Maryland 20742

(Received 18 November 1982; accepted 25 April 1983)

An analytical and numerical study of the stability of tearing modes is carried out using the Braginskii fluid equations. An electron temperature gradient coupled with finite (nonzero) parallel thermal conductivity causes large parallel currents to flow in the vicinity of the singular layer (where k⋅B=0). The pressure‐driven currents are stabilizing and in the limit βL2s/L2n>1, where β is the ratio of the thermal to magnetic pressure and Ls and Ln are the magnetic shear and density scale lengths, the linear tearing mode no longer exists. In this high‐β limit, the magnetic perturbation of the tearing mode is completely shielded from the singular layer so that no reconnection of the magnetic field can take place. The relationship between the tearing mode and previously investigated temperature‐gradient‐driven modes and the implications of the results for resistive modes in present and future tokamak discharges is discussed.

KEYWORDS and PACS

Keywords

tearing instability, stabilization, hot plasma, analytical solution, numerical solution, electron temperature, temperature gradients, coupling, thermal conductivity, electric currents, pressure dependence, beta ratio

PACS

  • 52.35.Py

    Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)

  • 52.35.Bj

    Magnetohydrodynamic waves (e.g., Alfven waves)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.864441

PUBLICATION DATA

ISSN

0031-9171 (print)  

  1. N. R. Sauthoff, S. Von Goeler, and W. Stodiek, Nucl. Fusion 18, 1445 (1978). [Inspec] [ISI]
  2. R. B. White, D. A. Monticello, and M. N. Rosenbluth, Phys. Rev. Lett. 39, 1618 (1977); [ISI]
    B. V. Waddell, B. Carreras, H. R. Hicks, and J. A. Holmes, Phys. Fluids 22, 897 (1979)
    R. B. White and D. Monticello, Princeton Plasma Physics Laboratory Report PPPL-1674, 1980 (unpublished).
  3. J. L. Dunlap, B. A. Carreras, V. K. Paré, J. A. Holmes, S. C. Bates, J. D. Bell, H. R. Hicks, V. E. Lynch, and A. P. Navarro, Phys. Rev. Lett. 48, 538 (1982). [ISI]
  4. H. P. Furth, J. Killeen, and M. N. Rosenbluth, Phys. Fluids 6, 459 (1963PFLDAS000006000004000459000001).
  5. H. P. Furth, P. Rutherford, and H. Selberg, Phys. Fluids 16, 1054 (1973PFLDAS000016000007001054000001).
  6. B. Coppi, Phys. Fluids 7, 1501 (1964PFLDAS000007000009001501000001).
  7. S. I. Braginskii, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1965), Vol. I, p. 205.
  8. P. J. Catto, M. N. Rosenbluth, and K. T. Tsang, Phys. Fluids 22, 1284 (1979PFLDAS000022000007001284000001)
    J. F. Drake and R. G. Kleva, Phys. Fluids 24, 1499 (1981PFLDAS000024000008001499000001)
    and K. T. Tsang, J. C. Whitson, and J. Smith, Phys. Fluids 22, 1689 (1979PFLDAS000022000009001689000001).
  9. J. F. Drake, N. T. Gladd, C. S. Liu, and C. L. Chang, Phys. Rev. Lett. 44, 994 (1980); [ISI]
    Phys. Fluids 23, 1182 (1980PFLDAS000023000006001182000001).
  10. M. Rosenberg, R. R. Dominguez, W. Pfeiffer, and R. E. Waltz, Phys. Fluids 23, 2022 (1980PFLDAS000023000010002022000001).
  11. B. Coppi, J. Mark, L. Sugiyama, and G. Bertin, Phys. Rev. Lett. 42, 1058 (1979) [ISI]
    and Ann. Phys. 119, 370 (1979)
    B. Basu and B. Coppi, Phys. Fluids 24, 465 (1981PFLDAS000024000003000465000001).
  12. C. S. Chang, R. R. Dominguez, and R. D. Hazeltine, Phys. Fluids 24, 1655 (1981PFLDAS000024000009001655000001).
  13. T. M. Antonsen, Jr. and B. Coppi, Phys. Lett. 81A, 335 (1981)
    G. B. Grew, T. M. Antonsen, Jr., and B. Coppi, Nucl. Fusion 22, 41 (1982). [Inspec]
  14. A. B. Hassam, Phys. Fluids 23, 2493 (1980PFLDAS000023000012002493000001).
  15. A. H. Glasser, J. M. Greene, and J. L. Johnson, Phys. Fluids 18, 875 (1975PFLDAS000018000007000875000001).
  16. J. F. Drake and Y. C. Lee, Phys. Fluids 20, 1341 (1977PFLDAS000020000008001341000001).
  17. R. D. Hazeltine, D. Dobrott, and T. S. Wang, Phys. Fluids 18, 1778 (1975PFLDAS000018000012001778000001).
  18. A. B. Hassam, Phys. Fluids 23, 38 (1980PFLDAS000023000001000038000001).
  19. P. H. Rutherford and H. P. Furth, Princeton Plasma Physics Laboratory Report MATT-872, 1971.
  20. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge U.P., Cambridge, U.K., 1966), p. 345.
  21. F. Oberhettinger, in Handbook of Mathematical Functions, NBS Applied Mathematics Series 55, edited by M. Abramowitz and I. A. Stegun (U. S. Government Printing Office, Washington, D.C., 1964), Chap. 15.
  22. F. W. J. Olver, Ref. 21, Chap. 9.
  23. J. C. P. Miller, Ref. 21, Chap. 19.
  24. J. F. Drake and A. B. Hassam, Phys. Fluids 24, 1262 (1981PFLDAS000024000007001262000001).
  25. H. R. Strauss, R. D. Hazeltine, S. M. Mahajan, and D. W. Ross, Phys. Fluids 22, 889 (1979PFLDAS000022000005000889000001).
  26. R. B. White, J. Comput. Phys. 31, 409 (1979). [ISI]
  27. I. S. Gradshteyn and I. W. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1965), p. 684.
  28. Ref. 27, p. 848.



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