Etude theorique du comportement turbulent d'un plasma sans collision, basee sur le concept de maximisation des probalites. Application a l'etude du comportement turbulent de faisceaux d'electrons a contre-courant injectes dans un plasma borne

Nonlinear Plasma Theory

Probability-maximization theory for a highly turbulent beam-plasma system

Dispersion of a plasma cluster over a less dense plasma background

Parametric growth rate of a nonlinear model equation for dispersive waves

The authors study the existence of stop bands for left-handed Alfvenic ion cyclotron waves propagating in the direction of magnetic field in a multicomponent plasma. Three effects are discussed: finite ion temperature, inhomogeneous magnetic field, and nonlinear wave amplitude. All of them affect the existence of stop bands and set critical bounds on the relevant physical parameters, particularly on the density of heavy ions. Using the model of a linearly varying, longitudinally inhomogeneous magnetic field, they calculate the critical lower bound on heavy ion density as a function of longitudinal inhomogeneity, and they discuss the difference between the truly inhomogeneous and essentially homogeneous situations. Typical values for the wave vector in the resonance region are derived. They also find the upper bound on the wave amplitude for the linear theory to be applicable, and the authors derive the condition for stop band formation in the nonlinear case. The obtained results are applied to the magnetospheric environment and are shown to lead to relevant modifications. For example, the formation of stop bands by thermal heavy ions is strongly dependent on the local inhomogeneity of the magnetic field.

Inhomogeneity and nonlinearity effects on stop bands of Alfvenic ion cyclotron waves in multicomponent plasma

The first two orders of parametric interaction between two plane Alfven waves propagating in opposite directions in a spatially uniform inviscid perfectly conducting fluid pumped by a plane progressive sound wave are investigated for the case in which all three waves propagate parallel to the uniform magnetic flux permeating the fluid. The Alfven waves become evanescent or absolutely unstable depending on the value of the sound wave velocity relative to the Alfven wave velocity. The important charactristics of the evanescence and the absolute instability have been deduced.. Also, the amplitude‐dependent frequency and wave‐number shifts of the center of the second‐order parametric interaction region have also been determined.

Nonlinear Plasma Theory

Citations

Probability-maximization theory for a highly turbulent beam-plasma system

Dispersion of a plasma cluster over a less dense plasma background

Parametric growth rate of a nonlinear model equation for dispersive waves

Inhomogeneity and nonlinearity effects on stop bands of Alfvenic ion cyclotron waves in multicomponent plasma

Parametric interaction between two Alfvén waves

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