Physics of Plasmas
   
 
 
 
Previous Article
The effect of off-axis neutral beam injection on sawtooth stability in ASDEX Upgrade and Mega-Ampere Spherical Tokamak
Sawtooth behavior has been investigated in plasmas heated with off-axis neutral beam injection in ASDEX Upgrade [A. Herrmann and O. Gruber, Fusion Sci. Technol. 44, 569 (2003)] and the Mega-Ampere Sph...
Next Article
Study of the effect of current rise time on the formation of the precursor column in cylindrical wire array Z pinches at 1 MA
The limited understanding of the mechanisms driving the mass ablation rate of cylindrical wires arrays is presently one of the major limitations in predicting array performance at the higher current l...

Effect of flow damping on drift-tearing magnetic islands in tokamak plasmas

Phys. Plasmas 16, 072507 (2009); doi:10.1063/1.3191719

Published 28 July 2009

You are not logged in to this journal. Log in

R. Fitzpatrick and F. L. Waelbroeck
Department of Physics, Institute for Fusion Studies, University of Texas at Austin, Austin, Texas 78712, USA
A systematic fluid theory of nonlinear drift-tearing magnetic island dynamics in a conventional large aspect-ratio low-beta circular cross-section tokamak plasma is derived from a set of single-helicity reduced neoclassical-magnetohydrodynamical equations which incorporate electron and ion diamagnetic flows, ion gyroviscosity, poloidal and toroidal flow damping, cross flux-surface momentum and particle transport, the sound wave, and the drift wave. The equations neglect the compressible Alfvén wave, electron inertia, the electron viscosity tensor, magnetic field-line curvature, and finite ion orbit widths. A collisional closure is used for plasma dynamics parallel to the magnetic field. The influence of various different levels of flow damping on the phase velocity of an isolated island, as well as the ion polarization term appearing in its Rutherford equation, are investigated in detail. Furthermore, it is found that, under certain circumstances, a locked island is subject to destabilizing ion polarization term to which a comparable isolated (i.e., rotating) island is not. ©2009 American Institute of Physics
History: Received 8 April 2009; accepted 9 July 2009; published 28 July 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/072507/1
BUY THIS ARTICLE   (US$28)
Download PDF (380 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 52.30.Cv
    Plasma magnetohydrodynamics
  • 52.35.Kt
    Plasma drift waves
  • 52.35.Mw
    Nonlinear phenomena: plasma waves, wave propagation and other interactions
  • 52.55.Fa
    Tokamaks
  • YEAR: 2009

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (35)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. J. A. Wesson, Tokamaks, 3rd ed. (Oxford University Press, Oxford, 2004).
  2. A. H. Boozer, Rev. Mod. Phys. 76, 1071 (2005).
  3. J. P. Freidberg, Ideal Magnetohydrodynamics (Springer, Berlin, 1987).
  4. J. A. Wesson, Nucl. Fusion 18, 87 (1978).
  5. H. P. Furth, J. Killeen, and M. N. Rosenbluth, Phys. Fluids 6, 459 (1963).
  6. P. H. Rutherford, Phys. Fluids 16, 1903 (1973).
  7. F. Militello and F. Porcelli, Phys. Plasmas 11, L13 (2004).
  8. D. F. Escande and M. Ottaviani, Phys. Lett. A 323, 278 (2004).
  9. Z. Chang and J. D. Callen, Nucl. Fusion 30, 219 (1990).
  10. R. Fitzpatrick and F. L. Waelbroeck, Phys. Plasmas 15, 012502 (2008).
  11. J. D. Callen, W. X. Qu, K. D. Siebert, B. A. Carreras, K. C. Shaing, and D. A. Spong, Proceedings of the 11th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Kyoto, 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. 2, p. 157.
  12. K. Shaing, Phys. Plasmas 10, 1443 (2003).
  13. S. V. Konovalov, A. B. Mikhailovskii, M. S. Shirokov, and V. S. Tsypin, Plasma Phys. Controlled Fusion 44, L51 (2002).
  14. P. H. Rutherford, Proceeding of Course and Workshop on Basic Physics Processes of Toroidal Fusion Plasmas, Varenna, 1985 (Commission of the European Communities, Brussels, 1986), Vol. 2, p. 531.
  15. R. D. Hazeltine and J. D. Meiss, Plasma Confinement (Dover, New York, 2003).
  16. M. Kotschenreuther, R. D. Hazeltine, and P. J. Morrison, Phys. Fluids 28, 294 (1985).
  17. A. I. Smolyakov, X. Garbet, and M. Ottaviani, Phys. Rev. Lett. 99, 055002 (2007).
  18. S. E. Kruger, C. C. Hegna, and J. D. Callen, Phys. Plasmas 5, 4169 (1998).
  19. R. D. Hazeltine, Phys. Fluids 17, 961 (1974).
  20. Y. B. Kim, P. H. Diamond, and R. J. Groebner, Phys. Fluids B 4, 2996 (1992).
  21. A. J. Cole, C. C. Hegna, and J. D. Callen, Phys. Plasmas 15, 056102 (2008).
  22. R. Fitzpatrick and F. L. Waelbroeck, Phys. Plasmas 12, 022307 (2005).
  23. A. Furuya, M. Yagi, and S. -I. Itoh, J. Phys. Soc. Jpn. 72, 313 (2003).
  24. A. Bergmann, E. Poli, and A. G. Peeters, Phys. Plasmas 12, 072501 (2005).
  25. S. I. Braginskii, Reviews of Plasma Physics (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
  26. A. I. Smolyakov, Plasma Phys. Controlled Fusion 35, 657 (1993).
  27. R. Fitzpatrick, Nucl. Fusion 33, 1049 (1993).
  28. J. W. Connor, F. L. Waelbroeck, and H. R. Wilson, Phys. Plasmas 8, 2835 (2001).
  29. F. L. Waelbroeck, Phys. Rev. Lett. 95, 035002 (2005).
  30. F. L. Waelbroeck and R. Fitzpatrick, Phys. Rev. Lett. 78, 1703 (1997).
  31. A. I. Smolyakov, A. Hirose, E. Lazzaro, G. B. Re, and J. D. Callen, Phys. Plasmas 2, 1581 (1995).
  32. T. C. Hender, R. Fitzpatrick, A. W. Morris, P. G. Carolan, R. D. Durst, T. Edlington, J. Ferreira, S. J. Fielding, P. S. Haynes, J. Hugill, I. J. Jenkins, R. J. La Haye, B. J. Parham, D. C. Robinson, T. N. Todd, M. Valovic, and G. Vayakis, Nucl. Fusion 32, 2091 (1992).
  33. R. Fitzpatrick and F. L. Waelbroeck, Phys. Plasmas 12, 122511 (2005).
  34. A. B. Mikhailovskii, V. D. Pustovitov, V. S. Tsypin, and A. I. Smolyakov, Phys. Plasmas 7, 1204 (2000).
  35. A. B. Mikhailovskii, V. D. Pustovitov, A. I. Smolyakov, and V. S. Tsypin, Phys. Plasmas 7, 1214 (2000).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.