Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-26T02:05:58.208Z Has data issue: false hasContentIssue false
  • English
  • Français

Spontaneous excitation of magnetic fields and collapse dynamics in a Langmuir plasma

Published online by Cambridge University Press:  13 March 2009

M. Kono ,
M. M. Škorić  and
D. Ter Haar
M. Kono
Affiliation:
Department of Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP, England
M. M. Škorić
Affiliation:
Department of Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP, England
D. Ter Haar
Affiliation:
Department of Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP, England
Get access Rights & Permissions [Opens in a new window]

Abstract

We discuss various aspects of the spontaneous generation of magnetic fields in a Langmuir plasma. We first of all show that the correct general expression for the ponderomotive force leads to the solenoidal current responsible for the magnetic-field generation. We derive the ponderomotive-force expression and also the magnetic-field generation equations from a two-time-scale two-fluid description. We also use a kinetic approach to derive the magnetic-field generation equations. We discuss the stability of monochromatic Langmuir waves and show that they are subject to both the ordinary modulational instability and to a magneto-modulational instability. We show that the coupled nonlinear equations describing the electric field strength amplitude, the plasma density, and the self-generated magnetic field can, under certain conditions, be reduced to a generalized cubic nonlinear Schrodinger equation. We finally show, by using a virial theorem, that the self-generated magnetic field does not stabilize the wave collapse.

Type
Research Article
Information
Journal of Plasma Physics , Volume 26 , Issue 1 , August 1981 , pp. 123 - 146
Copyright
Copyright © Cambridge University Press 1981

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

Abraham, M. 1909 Rend. Circ. Mat. Palermo, 28, 1.CrossRefGoogle Scholar
Abraeam, M. 1910 Rend. Circ. Mat. Palermo, 30, 5.Google Scholar
Bahdwell, S. & Goldman, M. V. 1976 Ap. J. 209, 912.CrossRefGoogle Scholar
Bel'kov, S. A. & Tsytovich, V. N. 1978 Lebedev Inst. Preprint no. 72.Google Scholar
Bel'kov, S. A. & Tsytovich, V. N. 1979 a Soviet Phys. JETP, 49, 656.Google Scholar
Bel'kov, S. A. & Tsytovich, V. N. 1979 b Lebedev Inst. Preprint no. 138.Google Scholar
Bel'kov, S. A. & Tsytovich, V. N. 1979 c J. Physique, 40, C7–651.Google Scholar
Bezzerides, B., Dubois, D. F. & Forslund, D. W. 1977 a Phys. Rev. A 16, 1678.CrossRefGoogle Scholar
Bezzerides, B., Dubois, D. F., Forslund, D. W. & Lindman, E. L. 1977 b Phys. Rev. Lett. 38, 495.CrossRefGoogle Scholar
Brevik, I. 1979 Phys. Repts, 52, 133.CrossRefGoogle Scholar
DiVergilio, W. F., Wong, A. Y., Kim, H. C. & Lee, Y. C. 1977 Phys. Rev. Lett. 38, 541.CrossRefGoogle Scholar
Gibbons, J., Thornhill, S. G., Wardrop, M. J. & Ter, Haar D. 1977 J. Plasma Phys. 17, 153.CrossRefGoogle Scholar
Ginzburg, V. L. 1979 Theoretical Physics and Astrophysics. Pergamon.Google Scholar
Ginzburg, V. L. & Ugarov, V. A. 1976 Soviet Phys. Uspekhi, 19, 94.CrossRefGoogle Scholar
Goldman, M. V. & Nicholson, D. R. 1978 Phys. Rev. Lett. 41, 406.CrossRefGoogle Scholar
Goldman, M. V., Reiter, G. F. & Nicholson, D. R. 1980 Phys. Fluids, 23, 388.CrossRefGoogle Scholar
Goldman, M. V., Rypdal, K. & Hafizi, B. 1980 Phys. Fluids, 23, 945.CrossRefGoogle Scholar
Kono, M., Škorií, M. M. & Ter, Haar D. 1980 a Phys. Lett. 77 A, 27.CrossRefGoogle Scholar
Kono, M., Škorií, M. M. & Ter, Haar D. 1980 b Phys. Lett. 78 A, 140.CrossRefGoogle Scholar
Kono, M., Škorií, M. M. & Ter, Haar D. 1980 c Phys. Rev. Lett. 45, 1629.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M. 1960 Electrodynamics of Continuous Media. Pergamon.Google Scholar
Max, C. E., Manheimer, W. M. & Thomson, J. J. 1978 Phys. Fluids, 21, 128.CrossRefGoogle Scholar
Minkowski, M. 1908 Göttinger Nachr. p. 53.Google Scholar
Minkowski, M. 1910 Math. Ann. 68, 472.CrossRefGoogle Scholar
Mora, P. & Pellat, R. 1978 Phys. Lett. 66 A, 28.CrossRefGoogle Scholar
Mora, P. & Pellat, R. 1979 Phys. Fluids, 22, 2408.CrossRefGoogle Scholar
Penfield, P. & Haus, H. A. 1967 Electrodynamics of Moving Media. MIT Press.Google Scholar
Pitaevskii, L. P. 1961 Soviet Phys. JETP, 12, 1008.Google Scholar
Robinson, F. N. H. 1975 Phys. Repts, 16, 313.CrossRefGoogle Scholar
Škorií, M. M. & Ter, Haar D. 1980 Physica, 98 C, 211.Google Scholar
Stamper, J. A., Papadopoulos, K., Sudan, R. N., Dean, S. O., McLean, E. A. & Dawson, J. M. 1971 Phys. Rev. Lett. 26, 1012.CrossRefGoogle Scholar
Thorhill, S. G. & Ter, Haar D. 1978 Phys. Repts, 43, 43.CrossRefGoogle Scholar
Tsytovich, V. N. 1978 Comm. Plasma Phys. Contr. Fusion, 4, 81.Google Scholar
Washimi, H. & Karpman, V. I. 1976 Soviet Phys. JETP, 44, 528.Google Scholar
Zakharov, V. E. 1972 Soviet Phys. JETP, 35, 908.Google Scholar