Harmonic Langmuir waves. II. Turbulence spectrum

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作者：

R Gaelzer，PH Yoon，T Umeda，Y Omura，H Matsumoto

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摘要：

The Langmuir wave turbulence generated by a beam–plasma interaction has been studied since the early days of plasma physics research. In particular, mechanisms which lead to the quasi-power-law spectrum for Langmuir waves have been investigated, since such a spectrum defines the turbulence characteristics. Meanwhile, the generation of harmonic Langmuir modes during the beam–plasma interaction has been known for quite some time, and yet has not been satisfactorily accounted for thus far. In paper I of this series, nonlinear dispersion relations for these harmonics have been derived. In this paper (paper II), generalized weak turbulence theory which includes multiharmonic Langmuir modes is formulated and the self-consistent particle and wave kinetic equations are solved. The result shows that harmonic Langmuir mode spectra can indeed exhibit a quasi-power-law feature, implying multiscale structure in both frequency and wave number space spanning several orders of magnitude.

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关键词：

Theoretical or Mathematical/ plasma kinetic theory plasma Langmuir waves plasma turbulence plasma-beam interactions/ harmonic Langmuir waves turbulence spectrum beam-plasma interaction plasma physics research quasi-power-law spectrum Langmuir waves harmonic Langmuir modes nonlinear dispersion relations generalized weak turbulence theory multiharmonic Langmuir modes self-consistent particle wave kinetic equations multiscale structure/ A5235F Plasma electrostatic waves and oscillations A5235R Plasma turbulence A5240M Particle beam interactions in plasma A5225D Plasma kinetic equations