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Nonlinear Plasma Theory

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The article was published on 1969-01-01 and is currently open access. It has received 1030 citations till now. The article focuses on the topics: Ion acoustic wave & Acoustic wave equation.

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Resonance broadening due to particle scattering and mode-coupling in the quasi-linear relaxation of electron beams

TL;DR: In this paper, it is shown that in addition to scattering of beam electrons, scattering of the beam-generated Langmuir waves via for instance mode-coupling, can also result in broadening of the waveparticle resonance.
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Statistical Plasma Physics in a Strong Magnetic Field: Paradigms and Problems

J.A. Krommes
TL;DR: In this paper, an overview of fundamental statistical theories as applied to strongly magnetized plasmas is given, focusing on the gyrokinetic formalism, the historical development of realizable Markovian closures, and recent results in the statistical theory of turbulent generation of long-wavelength flows.
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Stability of ripple-assisted neutral beam injection against loss-cone modes

TL;DR: In this article, the stability of the ripple-assisted neutral beam injection scheme proposed by Jassby and Goldston is investigated and it is shown that lower hybrid wave propagating nearly perpendicular to the magnetic field and driven unstable by the perpendicular velocity space anisotropy-free energy.
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Nonlinear saturation of single‐mode trapped ion instability

Soo Yong Kim, +1 more
- 01 Apr 1985 - 
TL;DR: The trapped ion instability appears as a single mode in the Columbia Linear Machine and is expected to appear as such in tandem mirrors using three wave, nonresonant mode coupling of radially nonlocal eigenfunctions.
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Nonlinear ion-acoustic (IA) waves driven in a cylindrically symmetric flow

Abstract: By employing a self-similar, two-fluid MHD model in a cylindrical geometry, we study the features of nonlinear ion-acoustic (IA) waves which propagate in the direction of external magnetic field lines in space plasmas. Numerical calculations not only expose the well-known three shapes of nonlinear structures (sinusoidal, sawtooth, and spiky or bipolar) which are observed by numerous satellites and simulated by models in a Cartesian geometry, but also illustrate new results, such as, two reversely propagating nonlinear waves, density dips and humps, diverging and converging electric shocks, etc. A case study on Cluster satellite data is also introduced.