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The effect of current shear on the tearing instability

Published online by Cambridge University Press:  13 March 2009

R. J. Barker  and
O. Buneman
R. J. Barker
Affiliation:
Institute for Plasma Research, Stanford University, California
O. Buneman
Affiliation:
Institute for Plasma Research, Stanford University, California
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Abstract

A fully relativistic stream superposition model is employed to conduct a linear numerical simulation of a self-consistently confined sheet of collisionless, neutral plasma. This multi-stream model employs a novel variable termed the ‘canonical momentum potential’ (or ‘action function’) to follow the ion and electron dynamics. For the classic, unsheared sheet pinch, growth rates obtained for the tearing instability are in reasonable agreement with previous estimates using an approximate Vlasov approach. Current shear is then introduced into the sheet and growth rates are again measured. Stabilization of the shorter wavelength modes is observed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 22 , Issue 3 , December 1979 , pp. 453 - 476
Copyright
Copyright © Cambridge University Press 1979

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References

REFERENCES

Anderson, O. A. & Kunkel, W. B. 1969 Phys. Fluids, 12, 2099.CrossRefGoogle Scholar
Barker, R. J. & Buneman, O. 1975 Standord University IPR Report no. 635.Google Scholar
Bennett, W. H. 1934 Phys. Rev. 45, 890.CrossRefGoogle Scholar
Bernstein, I. B. 1961. Radiation and Waves in Plasmas (ed. Mitchner, M.), p. 19. Stanford University Press.Google Scholar
Biskamp, D., Sagdeev, R. Z. & Schindler, K. 1970 ESRIN Note no. 78.Google Scholar
Buneman, O. 1958 Proceedings of Symposium on Electronic Waveguides, p. 107. Brooklyn Polytechnic.Google Scholar
Buneman, O. 1961 Proceedings of 5th Lockheed MHD Symposium, p. 24. Stanford University Press.Google Scholar
Buneman, O. 1966 Stanford University IPR Report no. 110.Google Scholar
Buneman, O. 1968 Relativistic Plasmas (ed. Buneman, O. & Pardo, W. B.), pp. 1, 41. Benjamin.Google Scholar
Channell, P. J. 1976 Phys. Fluids, 19, 1541.CrossRefGoogle Scholar
Coppi, B., Laval, G. & Pellat, R. 1966 Phys. Rev. Lett. 16, 1207.CrossRefGoogle Scholar
Furth, H. P. 1962 Nucl. Fusion Suppl. Pt. 1, 169.Google Scholar
Furth, H. P. 1963 Phys. Fluids, 6, 48.CrossRefGoogle Scholar
Furth, H. P., Killeen, J. & Rosenbluth, M. 1963 Phys. Fluids, 6, 459.CrossRefGoogle Scholar
Holdren, J. P. 1969 Phys. Fluids, 12, 1059.CrossRefGoogle Scholar
Holdren, J. P. 1970 Stanford University IPR Report No. 351.Google Scholar
Lam, S. H. 1967 Phys. Fluids, 10, 2454.CrossRefGoogle Scholar
Laval, G., Pellat, R. & Vuillemin, M. 1966 Proceedings of 2nd International Conference on Plasma Physics and Controlled Nuclear Fusion Research, vol. 2, p. 259. IAEA.Google Scholar
Lindman, E. L. 1975 J. comp. Phys. 18, 66.CrossRefGoogle Scholar
Pfirsch, D. 1962 Z. Naturforschung, 17a, 861.CrossRefGoogle Scholar