On the Theory of Trapped Particle Instability. : I. General Formulation and Analysis for Weak Coupling Limit
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概要
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A general formulation is developed to investigate the stability of a collisionless, one-dimensional plasma which sustains a large-amplitude, monochromatic electron plasma wave. A nonlinear dispersion relation is derived which governs the stability of a small-amplitude test wave. It is shown that untrapped electrons can produce a significant modification to the Kruer-Dawson-Sudan dispersion relation which was derived by considering only the effect of trapped electrons on the test wave. As an application a weak-coupling limit is considered. It is shown that in this limit waves can grow in the distinct wavenumber regions given by ∣Δκ∣=√<2n+1>κB(n=0,1,2,…), and ∣Δκ∣≪κ_B where Δκ is the difference of the wavenumbers of the test wave and the original large-amplitude wave and κ_B the bounce frequency divided by the phase velocity of the large-amplitude wave. Various characteristics of the growing waves are obtained.
- 社団法人日本物理学会の論文
- 1972-06-05
著者
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Mima Kunioki
Department Of Physics Faculty Of Science Kyoto University
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Nishikawa Kyoji
Department Of Applied Physics University Of Tokyo
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