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Unified theory of resistive and inertial ballooning modes in three-dimensional configurations

Phys. Plasmas 16, 102505 (2009); doi:10.1063/1.3255775

Published 28 October 2009

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T. Rafiq,1 C. C. Hegna,2 J. D. Callen,2 and A. H. Kritz1
1Department of Physics, Lehigh University, Bethlehem, Pennsylvania 18015, USA
2Department of Engineering Physics, University of Wisconsin, Madison, Wisconsin 53706, USA
Analytic results for the stability of resistive ballooning modes (RBMs) and electron inertial ballooning modes are obtained using a two-scale analysis. This work generalizes previous calculations used for axisymmetric s−alpha geometry [R. H. Hastie, J. J. Ramos, and F. Porcelli, Phys. Plasmas 10, 4405 (2003)] to general three-dimensional geometry. A unified theory is developed for RBMs and inertial ballooning modes, in which the effects of both ideal magnetohydrodynamic free energy (as measured by the asymptotic matching parameter Delta[prime]) and geodesic curvature drives in the nonideal layer are included in the dispersion relation. This unified theory can be applied to determine the stability of drift-resistive-inertial ballooning modes in the low temperature edge regions of tokamak and stellarator plasmas where steep density gradients exist. ©2009 American Institute of Physics
History: Received 18 August 2009; accepted 6 October 2009; published 28 October 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/102505/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.35.Py
    Plasma macroinstabilities (hydromagnetic)
  • 52.30.Cv
    Plasma magnetohydrodynamics
  • 52.55.Fa
    Tokamaks
  • 52.55.Hc
    Stellarators, torsatrons, heliacs, bumpy tori, and other toroidal confinement devices
  • YEAR: 2009

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ISSN:
1070-664X (print)   1089-7674 (online)
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REFERENCES (21)
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  1. W. Guttenfelder, J. Lore, D. T. Anderson, F. S. B. Anderson, J. M. Canik, W. Dorland, K. M. Likin, and J. N. Talmadge, Phys. Rev. Lett. 101, 215002 (2008).
  2. G. Bateman and D. Nelson, Phys. Rev. Lett. 41, 1804 (1978).
  3. B. A. Carreras, P. H. Diamond, M. Murakami, J. L. Dunlap, J. D. Bell, H. R. Hicks, J. A. Holmes, C. E. Thomas, and R. M. Weiland, Phys. Rev. Lett. 50, 503 (1983) (and references therein).
  4. P. H. Diamond, P. L. Similon, T. C. Hender, and B. A. Carreras, Phys. Fluids 28, 1116 (1985).
  5. J. R. Myra, D. A. D'Ippolito, X. Q. Xu, and R. H. Cohen, Phys. Plasmas 7, 4622 (2000).
  6. J. Weiland, Collective Modes in Inhomogeneous Plasma (IOP Publishing, Bristol, 2000).
  7. S. V. Novakovskii, P. N. Guzdar, J. F. Drake, C. S. Liu, and F. L. Waelbroeck, Phys. Plasmas 2, 781 (1995).
  8. R. J. Hastie, J. J. Ramos, and F. Porcelli, Phys. Plasmas 10, 4405 (2003).
  9. P. N. Guzdar, J. F. Drake, D. McCarthy, A. B. Hassam, and C. S. Liu, Phys. Fluids B 5, 3712 (1993).
  10. A. Zeiler, J. F. Drake, and B. N. Rogers, Phys. Plasmas 4, 2134 (1997).
  11. B. N. Rogers and J. F. Drake, Phys. Plasmas 6, 2797 (1999).
  12. X. Q. Xu, R. H. Cohen, T. D. Rognlien, and J. R. Myra, Phys. Plasmas 7, 1951 (2000).
  13. A. H. Glasser, J. M. Greene, and J. L. Johnson, Phys. Fluids 18, 875 (1975).
  14. X. Llobet, H. L. Berk, and M. N. Rosenbluth, Phys. Fluids 30, 2750 (1987).
  15. D. Correa-Restrepo, Z. Naturforsch. A 37, 848 (1982).
  16. W. A. Cooper and M. C. Depassier, Phys. Rev. A 32, 3124 (1985).
  17. H. R. Strauss, L. E. Sugiyama, G. Y. Fu, W. Park, and J. Breslau, Nucl. Fusion 44, 1008 (2004).
  18. R. Kaiser, Nucl. Fusion 33, 1281 (1993).
  19. F. S. B. Anderson, A. F. Almagri, D. T. Anderson, P. G. Mathews, J. N. Talmadge, and J. L. Shohet, Fusion Technol. 27, 273 (1995).
  20. S. I. Braginskii, Reviews of Plasma Physics (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
  21. J. W. Connor and R. J. Hastie, Plasma Phys. Controlled Fusion 27, 621 (1985).

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