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Stability of parametrically excited drift waves

Published online by Cambridge University Press:  13 March 2009

John G. Siambis
Affiliation:
Department of Electrical Engineering and Applied Space Science Carnegie-Mellon University, Pittsburgh, Pennsylvania

Abstract

The propagation and stability of drift waves is examined, by means of a perturbation technique, in geometries where the magnitude of the magnetic field varies periodically along the field lines. Two sets of modes are found which can be driven unstable by resonant particles trapped in the magnetic field non-uniformity. One set of modes consists of standing waves with wavelength twice that of the magnetic field non-uniformity. The other set of modes consists of standing waves composed essentially of the sum of a component which does not vary along the line and a component which is a standing wave with wavelength equal to the wavelength of the magnetic field non-uniformity. The advantage of this method is that it predicts simply and pictorially the real frequency of oscillation for these modes.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1971

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References

REFERENCES

Coppi, B., Rosenbluth, M. N. & Yoshikawa, S. 1968 Phys. Rev. Lett. 20, 190CrossRefGoogle Scholar
Coppi, B., Rosenbluth, M. N. & Rutherford, P. 1968 Phys. Rev. Lett. 21, 105CrossRefGoogle Scholar
Coppi, B. 1969 Phys. Rev. Lett. 22, 5CrossRefGoogle Scholar
Kadomtsev, B. B. & Pogutse, O. P. 1967 Soviet Phys. JETP 24, 117Google Scholar
Knorr, G. 1968 Physics Fluids 11, 88CrossRefGoogle Scholar
Rosenbluth, M. 1968 Physics Fluids 11, 86Google Scholar
Rutherford, P. & Frieman, E. 1968 Physics Fluids 11, 56Google Scholar
Rutherford, P., Rosenbluth, M., Horton, W., Frieman, E. & Coppi, B. 1969 Plasma Physics and Controlled Nuclear Fusion Research 1, 367. Vienna: International Atomic Energy AgencyGoogle Scholar
Siambis, J. & Northrop, T. 1966 Physics Fluids 9, 200CrossRefGoogle Scholar
Siambis, J. 1969 Physics Fluids 12, 1871.CrossRefGoogle Scholar
Taylor, J. B. & Hastie, R. 1968 Plasma Phys. 10, 479.CrossRefGoogle Scholar