Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T03:34:26.243Z Has data issue: false hasContentIssue false

Resistive instability of a low-beta plasma cylinder without assumed mode localization

Published online by Cambridge University Press:  13 March 2009

R. J. Wright
Affiliation:
Imperial College of Science and Technology, London

Abstract

Resistive instabilities in a low-β incompressible cylindrical model are investigated in a weakly sheared magnetic field. No boundary layer assumptions are made. Previous analytic results are found to fail badly when resistivity becomes too large, causing peaking in the growth rate dependence upon resistivity, and when the resonant surface approaches the axis, causing stabilization. The m = 1 tearing mode is investigated and found to lack the cut-off of higher m numbers. Finite Larmor radius effects have expected stabilizing properties, but produce a new, delocalized instability.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1977

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

Coppi, B. 1964 Phys. Fluids, 7, 1501.CrossRefGoogle Scholar
Coppi, B., Greene, J. M. & Johnson, J. L. 1966 Nucl. Fusion, 6, 101.CrossRefGoogle Scholar
Furth, H. P., Killeen, 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
Moiseev, S. S. & Sagdeev, R. Z. 1963 Soviet Phys. JETP, 17, 515.Google Scholar
Traub, J. F. 1964 Iterative methods for the solution of equations. Prentice Hall.Google Scholar
Wesson, J. 1966 Nucl. Fusion, 6, 130.CrossRefGoogle Scholar
Wright, R. J., Pott, D. F. R. & Haines, M. G. 1976 Plasma Phys. 18, 1.CrossRefGoogle Scholar