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    Macroscopic Lagrangian description of warm plasmas. II Nonlinear wave interactions (1983)
    In:  Other Sources
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    Publication Date: 2011-08-18
    Description: A macroscopic Lagrangian is simplified to the adiabatic limit and expanded about equilibrium, to third order in perturbation, for three illustrative cases: one-dimensional compression parallel to the static magnetic field, two-dimensional compression perpendicular to the static magnetic field, and three-dimensional compression. As examples of the averaged-Lagrangian method applied to nonlinear wave interactions, coupling coefficients are derived for interactions between two electron plasma waves and an ion acoustic wave, and between an ordinary wave, an electron plasma wave, and an ion acoustic wave.
    Keywords: PLASMA PHYSICS
    Type: Radio Science (ISSN 0048-6604); 18; 1369-137
    Format: text
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    NASA TECHNICAL REPORTS
  • 2
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    Microscopic Lagrangian description of warm plasmas. IV - Macroscopic approximation (1983)
    In:  Other Sources
    Details
    Publication Date: 2011-08-18
    Description: The averaged-Lagrangian method is applied to linear wave propagation and nonlinear three-wave interaction in a warm magnetoplasma, in the macroscopic approximation. The microscopic Lagrangian treated by Kim and Crawford (1977) and by Galloway and Crawford (1977) is first expanded to third order in perturbation. Velocity integration is then carried out, before applying Hamilton's principle to obtain a general description of wave propagation and coupling. The results are specialized to the case of interaction between two electron plasma waves and an Alfven wave. The method is shown to be more powerful than the alternative possibility of working from the beginning with a macroscopic Lagrangian density.
    Keywords: PLASMA PHYSICS
    Type: Radio Science; 18; Mar
    Format: text
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    NASA TECHNICAL REPORTS
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