Perturbation Method for Waves in a Slowly Varying Plasma
- 1 June 1964
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 7 (6) , 782-791
- https://doi.org/10.1063/1.1711286
Abstract
The method of expansion in instantaneous eigenfunctions is used to obtain approximate solutions to the linearized Vlasov equation when the unperturbed function is time‐dependent. The method is useful when the time‐dependence of the unperturbed function is slow compared with the plasma frequency. The general results are used to obtain the growth of wave energies in the quasilinear limitation of weak two‐stream instabilities. Deviations from previous results for this problem are found.Keywords
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- Dynamics of Ionized GasesPhysics of Fluids, 1961
- Plasma oscillationsAnnals of Physics, 1959