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On the structure of collisionless waves

Published online by Cambridge University Press:  13 March 2009

James B. Fedele
James B. Fedele
Affiliation:
Graduate School of Aerospace Engineering, Cornell University, Ithaca, New York
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Abstract

Small amplitude waves and collisionless shock waves are investigated within the framework of the first-order Chew—Goldberger—Low equations. For linearized oscillations, two modes are present for propagation along an applied magnetic field. One is an acoustic type which contains no finite Larmor radius effects. The other which contains the ‘fire hose’ instability in its lowest order terms, does possess finite Larmor radius corrections. These corrections, however, do not produce instabilities or dissipation. There are no finite Larmor radius corrections to the single mode present for propagation normal to the applied magnetic field. Normal shock structure is investigated, but it is shown that jump solutions do not exist. An analytic solitary pulse solution is found and is compared with the Adlam—Allen pulse solution.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 4 , December 1969 , pp. 673 - 689
Copyright
Copyright © Cambridge University Press 1969

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References

REFERENCES

Abrabam-Shrauner, B. J. 1967 a J. of Plasma Phys. 1, 361.CrossRefGoogle Scholar
Abrabam-Shrauner, B. J. 1967 b J. of Plasma Phys. 1, 379.CrossRefGoogle Scholar
Adlam, J. H. & Allen, J. E. 1958 Phil. Mag. 3, 448.Google Scholar
Chew, G. F., GOLDBERGER, M. L. & Low, F. E. 1963 Proc. Roy. Soc. Lond. A, 236, 112.Google Scholar
Friedrichs, K. O. & Kranzer, H. 1958 N.Y.U. Tech. Rpt. N. MH 8.Google Scholar
Frieman, E., Davidson, R. & Langdon, B. 1966 Phys. Fluids, 9, 1475.CrossRefGoogle Scholar
Kato, Y., Tajiri, M. & Taniuti, T. 1966 J. Phys. Soc. Japan, 21, 765.CrossRefGoogle Scholar
Macmahon, A. 1965 Phys. Fluids, 8, 1840.CrossRefGoogle Scholar
Minorsky, N. 1962 Non-linear Oscillations. New Jersey: D. Van Nostrand Co., Inc., Princeton.Google Scholar
Stoker, J. J. 1950 Nonlinear Vibrations in Mechanical and Electrical Systems. New York: Interscience Publishers Inc.Google Scholar
Yajima, N. 1966 Prog. Theor. Phys. 36, 1.CrossRefGoogle Scholar