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Physics of Plasmas -- April 2000 -- Volume 7, Issue 4 pp. 1079-1080

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Vertical stability in a current-carrying stellarator

G. Y. Fu
Princeton Plasma Physics Laboratory, Princeton University, P. O. Box 451, Princeton, New Jersey 08543

(Received 14 October 1999; accepted 3 January 2000)

An analytic stability criterion is derived for the vertical mode in a large aspect ratio stellarator with uniform current density profile. The effects of vacuum magnetic field generated by helical coils are shown to be stabilizing due to enhancement of field line bending energy. For a wall at infinite distance from the plasma, the amount of external poloidal flux needed for stabilization is given by f = (kappa2kappa)/(kappa2 + 1), where kappa is the axisymmetric elongation and f is the ratio of vacuum rotational transform to the total transform. ©2000 American Institute of Physics.

PII: S1070-664X(00)02504-0
DOI: 10.1063/1.873916
PACS: 52.35.Py, 52.55.Hc        Additional Information

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References

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  1. F. Troyon and R. Gruber, Phys. Lett. A 110, 29 (1985). [ISI]
  2. G. Y. Fu, L. P. Ku, W. A. Cooper et al., "MHD Stability of Compact Stellarators," accepted in Phys. Plasmas, 2000.
  3. A. Reiman, G. Y. Fu, S. Hirshman et al., Plasma Phys. Control. Fusion 41, B273 (1999). [ISI]
  4. I. B. Bernstein, E. A. Frieman, M. D. Kruskal, and R. M. Kulsrud, Proc. R. Soc. London, Ser. A 244, 17 (1958). [ISI]
  5. J. L. Johnson, C. R. Oberman, R. M. Kulsrud, and E. A. Frieman, Phys. Fluids 1, 281 (1958). [ISI]
  6. W. A. Cooper, Phys. Plasmas 3, 275 (1996). [SPIN] [ISI]
  7. D. Dobrott and C. S. Chang, Nucl. Fusion 21, 1573 (1981). [INSPEC] [ISI]
  8. K. Sakurai and S. Tanahashi, J. Phys. Soc. Jpn. 49, 759 (1980). [INSPEC] [ISI]
  9. L. P. Ku, private communications, 1999.

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Citing Articles

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  1. Recent advances in the design of quasiaxisymmetric stellarator plasma configurations
    A. Reiman et al., Phys. Plasmas 8, 2083 (2001)

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