Nonlinear Development of Weak Beam-Plasma Instability: Generation of Langmuir Turbulence and Harmonic Langmuir Waves

Details Nonlinear Development of Weak Beam-Plasma Instability: Generation of Langmuir Turbulence and Harmonic Langmuir Waves Nonlinear Development of Weak Beam-Plasma Instability: Generation of Langmuir Turbulence and Harmonic Langmuir Waves

May 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agusm..sh42b04y&link_type=abstract

American Geophysical Union, Spring Meeting 2001, abstract #SH42B-04

Computer Science

Sound

7839 Nonlinear Phenomena, 7863 Turbulence, 7867 Wave/Particle Interactions, 7868 Wave/Wave Interactions, 7871 Waves And Instabilities

Scientific paper

Since the beginning of plasma physics research, the beam-plasma interaction continues to be a fundamental research topic in both the space and laboratory context. Examples of beam-plasma interaction processes in solar-terrestrial environment include type II and III solar radio bursts and similar wave generation processes in the Earth's bow shock. Despite many decades of investigations concerning beam-plasma instability and its nonlinear development, processes beyond the quasilinear saturation stage is still not fully comprehended. Models which include particle trapping, three-wave decay, and induced scattering off ions (nonlinear Landau damping) have all been proposed. Typically, one of these possible nonlinear processes are presumed to be dominant, and other processes are discarded at the outset. In the present paper, we present a comprehensive theory of nonlinear beam-plasma instability in the context of weak turbulence formalism. As a result, particle trapping cannot be considered. In spite of this, the present paper considers both the decay/coalescence and induced scattering processes, and the interplay between the two processes are discussed. Another interesting feature of beam-plasma interaction processes is the generation of harmonic Langmuir waves. Since the early days of beam-plasma experiments and simulations, the generation of such waves were known. Satellite observations at the bow shock have also shown the possible existence of such waves in the natural environment. Despite some attempts to explain these phenomena in terms of the particle trapping scenario and higher-order nonlinear dispersion theory which involves nonlinear beam mode excitation, the harmonic Langmuir waves are still not completely understood. Furthermore, the recent systematic simulations of harmonic Langmuir waves show that the early theories based upon nonlinear beam mode do not satisfactorily explain the spectral characteristics of these modes. The present paper offers a refined/alternative theory of harmonic Langmuir mode generation, and numerically demonstrate the excitation of these waves by solving a self-consistent set of equations in the generalized weak turbulence theory which includes not only the Langmuir and ion-sound tubulence and their interactions with the particles, but also the said harmonic Langmuir waves.

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