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Nonlinear growth of strongly unstable tearing modes

Published online by Cambridge University Press:  13 March 2009

F. L. Waelbroeck
F. L. Waelbroeck
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, U.S.A.
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Abstract

Rutherford's theory of the tearing instability is extended to cases where current nonlinearities are important, such as long-wavelength modes in current slabs and the m = 1 instability in tokamaks with moderately large aspect ratios. Of particular interest is the possibility that the associated magnetic islands, as a result of secondary instabilities, have a singular response to the Ohmic diffusion of the current. A family of islands is used to test this possibility; it is found that the response remains bounded.

Type
Research Article
Information
Journal of Plasma Physics , Volume 50 , Issue 3 , December 1993 , pp. 477 - 494
Copyright
Copyright © Cambridge University Press 1993

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References

Aydemir, A. Y., Ross, D. W. & Wiley, J. C. 1989 Phys. Fluids B 1, 774CrossRefGoogle Scholar
Baty, H., Luciani, J.-F. & Bussac, M.–N. 1991 Nucl. Fusion 31, 2055.CrossRefGoogle Scholar
Bernstein, I. B., Greene, J. M. & Kruskal, M. B. 1957 Phys. Rev. 108, 71.Google Scholar
Biskamp, B. 1991 Phys. Fluids B 3, 3353.CrossRefGoogle Scholar
Bondeson, A. 1983 Phys. Fluids 26, 1275.CrossRefGoogle Scholar
Bussac, M. N. & Pellat, R. 1987 Phys. Rev. Lett. 59, 2650.CrossRefGoogle Scholar
Bussac, M. N., Pellat, R., Soule, J. L. & Tagger, M. 1984 Phys. Lett. 105 A, 51.CrossRefGoogle Scholar
Coppi, B. & Friedland, A. B. 1971 Astrophys. J. 169, 379.CrossRefGoogle Scholar
Coppi, B., Galvao, R., Rosenbluth, M. N. & Rutherford, P. H. 1976 Soviet J. Plasma Phys. 2, 1894.Google Scholar
Edery, D., Frey, M., Somon, J. P., Tagger, M., Soule, J. L., Pellat, R. & Bussac, M.–N. 1983 Phys. Fluids 26, 1165.CrossRefGoogle Scholar
Edwards, A. W., Campbell, D. J., Engelhardt, W. W., Fahrbach, H.–U., Gill, R. P., Granetz, R. S.Tsuji, S. B., Tubbing, J. D., Weller, A., Wesson, J. & Zasche, D. 1986 Phys. Rev. Leit. 57, 210.CrossRefGoogle Scholar
Finn, J. M. & Kaw, P. K. 1977 Phys. Fluids 20, 72.CrossRefGoogle Scholar
Furth, H. P., Kileen, J. & Rosenbluth, M. N. 1963 Phys. Fluids 6, 459.CrossRefGoogle Scholar
Furth, H. P., Rutherford, P. H. & Selberg, H. 1973 Phys. Fluids 16, 1054.CrossRefGoogle Scholar
Grad, H. & Hogan, J. 1970 Phys. Rev. Lett. 24, 1337.CrossRefGoogle Scholar
Irby, J. H., Drake, J. F. & Griem, H. R. 1979 Phys. Rev. Lett. 42, 228.CrossRefGoogle Scholar
Jensen, T. H. & McClain, F. W. 1986 Phys. Fluids 29, 895.CrossRefGoogle Scholar
Kadomtsev, B. B. 1975 Soviet J. Plasma Phys. 1, 389.Google Scholar
Kadomtsev, B. B. 1977 Plasma Physics and Controlled Nuclear Fusion Research, vol. I, p. 555. IAEA.Google Scholar
Lee, J. K., Chu, M. S., Liu, C. S. & Drake, J. F. 1985 Phys. Fluids 28, 1585.CrossRefGoogle Scholar
Lui, A. T. Y. 1987 Magnetotail Physics (ed. Lui, A. T. Y.), p. 101. Johns Hopkins University Press.Google Scholar
Otani, N. & Strauss, H. R. 1988 Astrophys. J. 325, 468.CrossRefGoogle Scholar
Park, W., Monticello, D. A. & White, R. B. 1984 Phys. fluids 27, 137.CrossRefGoogle Scholar
Pritchett, P. L. & Wu, C. C. 1979 Phys. Fluids 22, 2140.CrossRefGoogle Scholar
Rutherford, P. H. 1973 Phys. Fluids 16, 1903.CrossRefGoogle Scholar
Sato, T., Nakayama, Y., Hayashi, T., Watanabe, K. & Horiuchi, R. 1989 Phys. Rev.Lett. 63, 528.CrossRefGoogle Scholar
Steinolfson, R. S. & Van Hoven, G. 1983 Phys. Fluids 26, 117.CrossRefGoogle Scholar
Steinolfson, R. S. & Van Hoven, G. 1984 Phys. Fluids 27, 1207.CrossRefGoogle Scholar
Taylor, J. B. 1974 Phys. Rev. Lett. 35, 1139.CrossRefGoogle Scholar
Taylor, J. B. 1975 Culham Laboratory, Plasma Physics Note 10/75.Google Scholar
Van Hoven, G. 1979 Astrophys. J. 232, 572.CrossRefGoogle Scholar
Vasilyunas, V. M. 1975 Rev. Geophys. Space Phys. 13, 303.CrossRefGoogle Scholar
Waelbroeck, F. L. 1989 Phys. Fluids B 1, 2372.CrossRefGoogle Scholar
Waelbroeck, F. L. 1993 Phys. Rev. Lett. 70, 3259.CrossRefGoogle Scholar
White, R. B. 1986 Rev. Mod. Phys. 58, 183.CrossRefGoogle Scholar