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Numerical simulations of BGK modes

Published online by Cambridge University Press:  13 March 2009

Lucio Demeio  and
James Paul Holloway
Lucio Demeio
Affiliation:
Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, U.S.A.
James Paul Holloway
Affiliation:
Department of Nuclear Engineering, University of Michigan, Ann Arbor, Michigan 48109-2104, U.S.A.
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Abstract

Solutions of the full nonlinear Vlasov–Poisson system for a one-dimensional unmagnetized plasma that correspond to undamped travelling waves near Maxwellian equilibria are analysed numerically using the splitting scheme algorithm. The numerical results are clearly in favour of the existence of such waves and confirm that there is a critical phase velocity below which they cannot be constructed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 46 , Issue 1 , August 1991 , pp. 63 - 84
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Arthur, M. D., Greenberg, W. & Zweifel, P. F. 1977 Phys. Fluids, 20, 1926.CrossRefGoogle Scholar
Backus, G. 1960 J.Math. Phys. 1, 178.CrossRefGoogle Scholar
Bernstein, I. B., Greene, J. M. & Kruskal, M. D. 1957 Phys. Rev. 108, 546.CrossRefGoogle Scholar
Case, K. M. 1959 Ann. Phys. (NY), 7, 349.CrossRefGoogle Scholar
Cheng, C. G. & Knorr, G. 1976 J. Comp. Phys. 22, 330.CrossRefGoogle Scholar
Demeio, L. 1989 Ph.D. dissertation, Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University.Google Scholar
Demeio, L. & Zweifel, P. F. 1990 Phys. Fluids, B 2, 1252.CrossRefGoogle Scholar
Ghizzo, A., Izrar, B., Bertrand, P., Fijakow, E., Feix, M. R. & Shoucri, M. 1988 Phys. Fluids, 31, 72.CrossRefGoogle Scholar
Holloway, J. P. 1989 Ph.D. dissertation, Engineering Physics, University of Virginia, Charlottesville.Google Scholar
Holloway, J. P. & Dorning, J. J. 1989a Progress in Astronautics and Aeronautics (Rarefied Gas Dynamics: Space Related Studies), vol. 116, p. 115. AIAA.Google Scholar
Holloway, J. P. & Dorning, J. J. 1989b Phys. Lett. 138 A, 279.CrossRefGoogle Scholar
Klimas, A. J. 1983 J. Comp. Phys. 50, 270.CrossRefGoogle Scholar
Krall, N. A. & Trivelpiece, A. W. 1973 Principles of Plasma Physics. McGraw-Hill.CrossRefGoogle Scholar
Landau, L. D. 1946 J. Phys. USSR, 10, 25.Google Scholar
O'Neil, T. 1965 Phys. Fluids, 8, 2255.CrossRefGoogle Scholar
Shoucri, M. 1979 Phys. Fluids, 22, 2038.CrossRefGoogle Scholar
Shoucri, M. & Gagné, R. 1978 Phys. Fluids, 21, 1168.CrossRefGoogle Scholar
Van Kampen, N. G. 1955 Physica, 21, 949.CrossRefGoogle Scholar
Vlasov, A. 1945 J. Phys. USSR, 9, 25.Google Scholar
Weitzner, H. 1963 Phys. Fluids, 6, 1123.CrossRefGoogle Scholar