On the Theory of Trapped Particle Instability. II. : Stability of a Small-Amplitude B-G-K Wave
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概要
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In a preceding report, (J. Phys. Soc. Japan 30 (1971) 1722) a general theory is developed to investigate the stability of a collisionless, one-dimensional plasma which sustains a large-amplitude, monochromatic electron plasma wave. In this paper, this theory is used to investigate further details of the instability by assuming a specific from of the unperturbed distribution, such that it is consistent with the small-amplitude limit of a Bernstein-Greene-Kruskal distribution. The properties of the dispersion relation are characterised by three parameters, the wavenumber of the carrier, its amplitude and the excess trapped-electron density ΔN_t (compared with the value expected form the linear theory). In the weak-coupling limit, stable and unstable regions are shown in the plane spanned by ΔN_t and bounce frequency. A numerical calculation for a moderately strong-coupling case shows that even in this case growing waves are separated into several distinct wavenumber regions.
- 社団法人日本物理学会の論文
- 1972-12-05
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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Nishikawa Kyoji
Department Of Physics Faculty Of Science Hiroshima University
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