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

  • M. Kono (a1), M. M. Škorić (a1) and D. Ter Haar (a1)


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.



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Abraham, M. 1909 Rend. Circ. Mat. Palermo, 28, 1.
Abraeam, M. 1910 Rend. Circ. Mat. Palermo, 30, 5.
Bahdwell, S. & Goldman, M. V. 1976 Ap. J. 209, 912.
Bel'kov, S. A. & Tsytovich, V. N. 1978 Lebedev Inst. Preprint no. 72.
Bel'kov, S. A. & Tsytovich, V. N. 1979 a Soviet Phys. JETP, 49, 656.
Bel'kov, S. A. & Tsytovich, V. N. 1979 b Lebedev Inst. Preprint no. 138.
Bel'kov, S. A. & Tsytovich, V. N. 1979 c J. Physique, 40, C7651.
Bezzerides, B., Dubois, D. F. & Forslund, D. W. 1977 a Phys. Rev. A 16, 1678.
Bezzerides, B., Dubois, D. F., Forslund, D. W. & Lindman, E. L. 1977 b Phys. Rev. Lett. 38, 495.
Brevik, I. 1979 Phys. Repts, 52, 133.
DiVergilio, W. F., Wong, A. Y., Kim, H. C. & Lee, Y. C. 1977 Phys. Rev. Lett. 38, 541.
Gibbons, J., Thornhill, S. G., Wardrop, M. J. & Ter, Haar D. 1977 J. Plasma Phys. 17, 153.
Ginzburg, V. L. 1979 Theoretical Physics and Astrophysics. Pergamon.
Ginzburg, V. L. & Ugarov, V. A. 1976 Soviet Phys. Uspekhi, 19, 94.
Goldman, M. V. & Nicholson, D. R. 1978 Phys. Rev. Lett. 41, 406.
Goldman, M. V., Reiter, G. F. & Nicholson, D. R. 1980 Phys. Fluids, 23, 388.
Goldman, M. V., Rypdal, K. & Hafizi, B. 1980 Phys. Fluids, 23, 945.
Kono, M., Škorií, M. M. & Ter, Haar D. 1980 a Phys. Lett. 77 A, 27.
Kono, M., Škorií, M. M. & Ter, Haar D. 1980 b Phys. Lett. 78 A, 140.
Kono, M., Škorií, M. M. & Ter, Haar D. 1980 c Phys. Rev. Lett. 45, 1629.
Landau, L. D. & Lifshitz, E. M. 1960 Electrodynamics of Continuous Media. Pergamon.
Max, C. E., Manheimer, W. M. & Thomson, J. J. 1978 Phys. Fluids, 21, 128.
Minkowski, M. 1908 Göttinger Nachr. p. 53.
Minkowski, M. 1910 Math. Ann. 68, 472.
Mora, P. & Pellat, R. 1978 Phys. Lett. 66 A, 28.
Mora, P. & Pellat, R. 1979 Phys. Fluids, 22, 2408.
Penfield, P. & Haus, H. A. 1967 Electrodynamics of Moving Media. MIT Press.
Pitaevskii, L. P. 1961 Soviet Phys. JETP, 12, 1008.
Robinson, F. N. H. 1975 Phys. Repts, 16, 313.
Škorií, M. M. & Ter, Haar D. 1980 Physica, 98 C, 211.
Stamper, J. A., Papadopoulos, K., Sudan, R. N., Dean, S. O., McLean, E. A. & Dawson, J. M. 1971 Phys. Rev. Lett. 26, 1012.
Thorhill, S. G. & Ter, Haar D. 1978 Phys. Repts, 43, 43.
Tsytovich, V. N. 1978 Comm. Plasma Phys. Contr. Fusion, 4, 81.
Washimi, H. & Karpman, V. I. 1976 Soviet Phys. JETP, 44, 528.
Zakharov, V. E. 1972 Soviet Phys. JETP, 35, 908.
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Spontaneous excitation of magnetic fields and collapse dynamics in a Langmuir plasma

  • M. Kono (a1), M. M. Škorić (a1) and D. Ter Haar (a1)


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