Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T04:34:51.421Z Has data issue: false hasContentIssue false

Asymptotic state of the two-stream instability

Published online by Cambridge University Press:  13 March 2009

Thomas Armstrong
Affiliation:
Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa
David Montgomery
Affiliation:
Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa

Abstract

Previously reported numerical investigations of the non-linear Vlasov equation are extended to an intensive study of the two-stream instability. Strongly unstable initial conditions for the one-dimensional electron plasma are followed in time until the state of the plasma has become essentially time independent. Both the electric field and the distribution function appear to be characteristic of an inhomogeneous equilibrium, as previously conjectured (Armstrong 1966).

Type
Research Article
Copyright
Copyright © Cambridge University Press 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Aamstrong, T. P.08 1966. Univ. Iowa Rept. 66–34 (Ph.D. Dissertation, University of Iowa, available on request).Google Scholar
Armstrong, T. P. 1967 Phys. Fluids 10, 1269.Google Scholar
Berk, H. L. & Robert, K. V. 1967 Univ. Cal. at San Diego Preprint.Google Scholar
Bernstein, I. B., Greene, J. M. & Kruskal, M. D. 1957 Phy. Rev. 108, 546.CrossRefGoogle Scholar
Buneman, O. 1959 Phys. Rev. 115, 503.CrossRefGoogle Scholar
Case, K. M. 1959 Ann. Phys. (N.Y.) 7, 349.Google Scholar
Dawson, J. M. 1962 Nuclear Fusion, Pt. 3, 1033. (Suppl.).Google Scholar
Drummond, J. E.03 1967 Project Sherwood Theoretical Meeting.Google Scholar
Drummond, W. E. & Pines, D. 1962 Nuclear Fusion, Pt. 2, 1049 (Suppl.).Google Scholar
Engelman, F., Felx, M., Minardi, E. & Oxenius, J.. 1963 Phys. Fluids 6, 266.CrossRefGoogle Scholar
Grant, F. C. & Feix, M. R. 1966 N.A.S.A. Langley Research Center Preprint.Google Scholar
Harris, E. G. 1957 Bull. Amer. Phys. Soc. Ser. II 2, 67.Google Scholar
Kellogg, P. J. 1965 Phys. Fluids 8, 102.Google Scholar
Knorr, G. 1963 Z. Naturforsch. 18 a, 1304.Google Scholar
Landau, L. D. 1946 J. Phys. (U.S.S.R.) 10, 25.Google Scholar
Nielson, C. E., Sessler, A. M. & Symon, K. R. 1959 Proc. mt. Conf. on High Energy Accelerators, CERN, 239.Google Scholar
Noerdlinger, P. D. 1960 Phys. Rev. 118, 879.Google Scholar
Penrose, O. 1960 Phys. Fluids 3, 258.CrossRefGoogle Scholar
Smith, C. & Dawson, J. 1963 Princeton Plasma Lab. Rept. MATT-151.Google Scholar
Van Kampen, N. G. 1955 Physica 21, 949.Google Scholar
Vedenov, A., Velikhov, E. & Sagdeev, R. 1962 Nuclear Fusion, Pt. 2, 465 (Suppl.).Google Scholar
Weissglas, P. 1962 J. Nucl. Energy, Pt. C, 4, 329.CrossRefGoogle Scholar