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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
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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

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