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Magnetic stabilization of transverse plasma instabilitiest

Published online by Cambridge University Press:  13 March 2009

B. Buti
Affiliation:
Department of Physics, Indian Institute of Technology, New Dethi
G. S. Lakhina
Affiliation:
Department of Physics, Indian Institute of Technology, New Dethi

Abstract

Waves, propagating transverse to the direction of the streaming of a plasma in the presence of a uniform external magnetic field, are unstable if the streaming exceeds a certain minimum value. The magnetic field reduces the growth rate of this instability, and also increases the value of the minimum streaming velocity, above which the system is unstable. The thermal motions in the plasma, however, tend to stabilize the system if the magnetic field is weak (i.e. , Ω being the electron cyclotron frequency, k the characteristic wave-number, and Vt the thermal velocity); but, in case of strong magnetic field (i.e. ), they increase the growth rate, provided p being the electron plasma frequency).

Type
Research Article
Copyright
Copyright © Cambridge University Press 1971

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References

Bernstein, I. B. 1958 Phys. Rev. 109, 10.CrossRefGoogle Scholar
Bohm, D. & Gross, E. P. 1949 Phys. Rev. 75, 1851, 1864.CrossRefGoogle Scholar
Bornatici, M. & Lee, K-F. 1970 Phys. Rev. 13, 3007.Google Scholar
Büneman, D. 1963 Ann. Phys. 25, 340.Google Scholar
Büneman, O. 1959 Phys. Rev. 115, 503.Google Scholar
Buti, B. 1963 Phys. Fluids 6, 89.CrossRefGoogle Scholar
Buti, B. & Lakhina, G. S. 1971 Phys-Lett. A. (To be published, March or April.)Google Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. Academic.Google Scholar
Jackson, J. D. 1960 J. Nuc. Energy, C 1, 171.CrossRefGoogle Scholar
Kellog, P. J. & Liemohn, H. 1960 Phys. Fluids 3, 40.Google Scholar
Lee, K-F. 1969 Phys. Rev. 181, 447.CrossRefGoogle Scholar
Momota, H. 1966 Prog. Theoret. Phys. 35, 380.Google Scholar
Watson, G. N. 1948 Theory of Bessel Functions. Cambridge University Press.Google Scholar