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Macroscopic Lagrangian description of warm plasmas: 2. Nonlinear wave interactions
Author(s) -
Kim H.,
Crawford F. W.
Publication year - 1983
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs018i006p01369
Subject(s) - physics , plasma , adiabatic process , nonlinear system , magnetic field , electron , lagrangian , classical mechanics , perturbation (astronomy) , quantum electrodynamics , ion , wavenumber , computational physics , mechanics , quantum mechanics , mathematical physics
The macroscopic Lagrangian formulated in paper 1 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.