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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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Propagation of non-linear circularly polarised Alfvén waves in a homogeneous medium

TL;DR: In this paper, the authors studied the evolution of non-linear circularly polarised Alfven waves by solving numerically the time-dependent equations of magnetohydrodynamics (MHD) in one dimension.
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Equilibrium statistical mechanics for single waves and wave spectra in Langmuir wave-particle interaction

TL;DR: In this paper, a Monte Carlo code was built to estimate its equilibrium statistical mechanics in both the canonical and microcanonical ensembles, and the comparison with exact canonical results, and an opportunity to propose quantitative results to longstanding issues in basic nonlinear plasma physics.
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Effect of Nonlinear Collective Processes on the Confinement of a Pure-Electron Plasma

TL;DR: Etude des processus collectifs non lineaires par lesquels les champs perturbateurs, statiques, asymetriques, peuvent transferer la quantite de mouvement angulaire, mais pas l'energie, au plasma and produire une expansion radiale.
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Transition into diffusive regime of propagation of probing electromagnetic waves in a turburlent inhomogeneous plasma and limitations for microwave reflectometry in reactor scale devices

TL;DR: In this article, a propagation of probing waves in plasma in the presence of broad wavenumber spectrum density turbulence is examined in one-dimensional geometry, and it is shown that multiple Bragg scattering leads to a transition into diffusive regime of the wave propagation obstructing the plasma density profile measurement, if the turbulence level exceeds a threshold value.
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Nonlinear theory of cyclotron resonant wave-particle interactions: Analytical results beyond the quasilinear approximation.

TL;DR: Cyclotron resonant wave-particle interactions are studied in the context of Hamiltonian theory with utilization of Lie transform techniques to provide results for the collective particle behavior under interaction with wave fields of either localized or periodic profiles.