Premium
Microscopic Lagrangian description of warm plasmas: 4. Macroscopic approximation
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/rs018i002p00272
Subject(s) - lagrangian , physics , nonlinear system , perturbation (astronomy) , plasma , wave propagation , classical mechanics , perturbation theory (quantum mechanics) , electron , quantum mechanics , theoretical physics
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 in papers 1–3 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 Alfvén wave. The method is shown to be more powerful than the alternative possibility of working from the beginning with a macroscopic Lagrangian density.