Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-23T15:05:25.463Z Has data issue: false hasContentIssue false
  • English
  • Français

Hall current effects on tearing modes in rotating reverse field plasmas

Published online by Cambridge University Press:  13 March 2009

Jay Kappraff ,
William Grossman  and
Michael Kress
Jay Kappraff
Affiliation:
New Jersey Institute of Technology, Newark, New Jersey
William Grossman
Affiliation:
New York University, Courant Institute of Mathematical Sciences, New York, New York 10003
Michael Kress
Affiliation:
New York University, Courant Institute of Mathematical Sciences, New York, New York 10003
Get access Rights & Permissions [Opens in a new window]

Abstract

It has been experimentally observed for some time that certain tearing modes in plasmas may be suppressed if the plasma rotates in a preferred direction. In this paper we treat the m = 0, finite-wavelength tearing mode in cylindrical geometry for a reversed-field plasma equilibrium and show that by generalizing Ohm's law to include Hall current terms, we are able to explain this effect of rotation on tearing modes. Our results agree qualitatively with earlier analysis and numerical simulations. We also show that our results are sensitive to the position of the outer conducting wall, and for wall positions sufficiently close to the plasma-vacuum interface, tearing modes may be quenched when the rotation reaches a critical value. These results follow from a boundary-layer analysis and numerical integration of the boundary-layer equations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 25 , Issue 1 , February 1981 , pp. 111 - 131
Copyright
Copyright © Cambridge University Press 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bodin, H. A. B. 1963 Nucl. Fusion, 3, 215.Google Scholar
Chen, L., Rutherford, P. R. & Tang, N. 1977 Phys. Rev. Lett. 39, 460.CrossRefGoogle Scholar
Coppi, B., Greene, J. M. & Johnson, J. L. 1966 Nucl. Fusion, 6, 101.CrossRefGoogle Scholar
Eberhagen, A. & Grossmann, W. 1971 Z. Physik, 248, 130.CrossRefGoogle Scholar
Es'kov, A. G., Kurtmullayev, R. K., Malyutun, A. I., Proshletsov, A. P., Semenov, V. N., Markin, A. I., Mironov, B. N. & Sosunov, V. B. 1978 Proceedings of Conference on Plasma Physics and Controlled Nuclear Fusion.Google Scholar
Fischer, C. F. & Usmani, R. A. 1969 SIAM J. Numer. Anal. 6, 1.CrossRefGoogle Scholar
Furth, H. P., Killeen, J. & Rosenbluth, M. N. 1963 Phys. Fluids, 6, 459.Google Scholar
Kalek, A., Könen, L., Noll, P., Siguta, K., Waelbroek, F., Watanabe, K. & Witulski, H. 1968 Proceedings of Conference on Plasma Physics and Controlled Nuclear Fusion, Novosibirsk, vol. 2, p. 581.Google Scholar
Kalek, A. 1972 Proceedings of 5th European Conference on Controlled Fusion and Plasma Physics, Grenoble.Google Scholar
Linford, R. K., Platts, D. A., Sherwood, E. G. 1978 Proceedings of Conference on Plasma Physics and Controlled Nuclear Fusion.Google Scholar