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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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Generation of Magnetic Fields in the Relativistic Shock of Gamma-Ray Burst Sources

TL;DR: In this article, the relativistic two-stream instability can naturally generate strong magnetic fields with 10-5-10-1 of the equipartition energy density, in the collisionless shocks of gamma-ray burst (GRB) sources.
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Nonlinear theory of diffusive acceleration of particles by shock waves

TL;DR: In this article, a review of the current theoretical understanding of this process, from the basic ideas of how a shock energizes a few reactionless particles to the advanced nonlinear approaches treating the shock and accelerated particles as a symbiotic self-organizing system, is presented.
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Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria

E. A. Frieman, +1 more
- 01 Mar 1982 - 
TL;DR: A nonlinear gyrokinetic formalism for low-frequency (less than the cyclotron frequency) microscopic electromagnetic perturbations in general magnetic field configurations is developed in this paper.
Journal ArticleDOI

Parametric Instabilities of Electromagnetic Waves in Plasmas

TL;DR: In this article, a simple formalism for the parametric decay of an intense, coherent electromagnetic wave into an electrostatic wave and scattered electromagnetic waves in a homogeneous plasma is developed.
Journal ArticleDOI

Self-consistent Coronal Heating and Solar Wind Acceleration from Anisotropic Magnetohydrodynamic Turbulence

TL;DR: In this article, a series of models for the plasma properties along open magnetic flux tubes rooted in solar coronal holes, streamers, and active regions are presented, which represent the first self-consistent solutions that combine chromospheric heating driven by an empirically guided acoustic wave spectrum; coronal heating from Alfven waves that have been partially reflected, then damped by anisotropic turbulent cascade; and solar wind acceleration from gradients of gas pressure, acoustic wave pressure, and Alfven wave pressure.