Property of Electrostatic Ion-Cyclotron Waves and Ion Acoustic Waves and Ion Acoustic Waves in a Magnetic Field

Abstract. One of the interesting observations from the FAST satellite is the detection of strong spiky waveforms in the parallel electric field in association with ion cyclotron oscillations in the perpendicular electric fields. We report here an analytical model of the coupled nonlinear ion cyclotron and ion-acoustic waves, which could explain the observations. Using the fluid equations for the plasma consisting of warm electrons and cold ions, a nonlinear wave equation is derived in the rest frame of the propagating wave for any direction of propagation oblique to the ambient magnetic field. The equilibrium bulk flow of ions is also included in the model to mimic the field-aligned current. Depending on the wave Mach number M defined by M = V/Cs with V and Cs being the wave phase velocity and ion-acoustic speed, respectively, we find a range of solutions varying from a sinusoidal wave form for small amplitudes and low M to sawtooth and highly spiky waveforms for nearly parallel propagation. The results from the model are compared with the satellite observations.

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Virtual exciter of ion-acoustic waves in an external magnetic field

The Physics of Fluids ◽

10.1063/1.1694602 ◽

1974 ◽

Vol 17 (1) ◽

pp. 256

Author(s):

I. Alexeff

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Acoustic Waves ◽

Ion Acoustic Waves ◽

Ion Acoustic

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Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas. Part 2. Numerical simulations, two-soliton collisions

Journal of Plasma Physics ◽

10.1017/s0022377800012010 ◽

1987 ◽

Vol 37 (1) ◽

pp. 97-106 ◽

Cited By ~ 36

Author(s):

E. Infeld ◽

P. Frycz

Keyword(s):

Magnetic Field ◽

Numerical Simulations ◽

Growth Rates ◽

Nonlinear Waves ◽

Acoustic Waves ◽

Ion Acoustic Waves ◽

Self Focusing ◽

Long Wave ◽

Ion Acoustic ◽

Soliton Collisions

Nonlinear waves and solitons satisfying the Zakharov-Kuznetsov equation for a dilute plasma immersed in a strong magnetic field are studied numerically. Growth rates of perpendicular instabilities, found theoretically in part 1, are confirmed and extended to arbitrary wavelengths of the perturbations (the calculations of part 1 were limited to long-wave perturbations). The effects of instabilities on nonlinear waves and solitons are illustrated graphically. Pre-vious, approximate results of other authors on the perpendicular growth rates for solitons are improved on. Similar results for perturbed nonlinear waves are presented. The effects of two-soliton collisions on instabilities are investigated. Rather surprisingly, we find that the growth of instabilities can be retarded by collisions. Instabilities can also be transferred from one soliton to another in a collision. This paper can be read independently of part 1.

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Plasma Capacitor with Ion Acoustic Waves

Zeitschrift für Naturforschung A ◽

10.1515/zna-1974-0603 ◽

1974 ◽

Vol 29 (6) ◽

pp. 851-858 ◽

Cited By ~ 3

Author(s):

F. Leuterer

Keyword(s):

Magnetic Field ◽

Velocity Distribution ◽

Acoustic Waves ◽

Radius Of Gyration ◽

Ion Acoustic Waves ◽

Homogeneous Plasma ◽

Ion Acoustic ◽

Zero Radius ◽

The Magnetic Field ◽

Plasma Capacitor

We examine experimentally and theoretically the r. f. potential within a capacitor, filled with a homogeneous plasma in a magnetic field and driven at frequencies ωci <ω<4ωci . We assume the ions to be cold, and the electrons to have a Maxwellian velocity distribution along the magnetic field, but zero radius of gyration. Thus ion acoustic waves are included. The whole kz-spectrum of the exciter is needed to explain the experimental results.

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Nonextensive approach to the effect of electron trapping in the presence of quantizing magnetic field on the propagation of ion acoustic waves

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2021.126130 ◽

2021 ◽

pp. 126130

Author(s):

Khireddine Mebrouk ◽

Omar Bouzit ◽

Leila AIT Gougam ◽

Mouloud Tribeche

Keyword(s):

Magnetic Field ◽

Acoustic Waves ◽

Electron Trapping ◽

Ion Acoustic Waves ◽

Ion Acoustic ◽

Quantizing Magnetic Field

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Long wavelength ion-acoustic waves in a magneto-plasma in a gravitational field

Journal of Plasma Physics ◽

10.1017/s0022377800005298 ◽

1970 ◽

Vol 4 (3) ◽

pp. 617-627 ◽

Cited By ~ 7

Author(s):

C. H. Liu

Keyword(s):

Magnetic Field ◽

Dispersion Relation ◽

Static Magnetic Field ◽

Acoustic Waves ◽

Fluid Dynamic ◽

Debye Length ◽

Ion Acoustic Waves ◽

Long Wavelength ◽

Special Cases ◽

Ion Acoustic

Ion-acoustic waves propagating in a collision-free, gravity-supported plasma in a static magnetic field are studied with a linearized Vlasov equation. The dispersion relation is derived in the limit of vanishing electron to ion mass ratio and wavelength much larger than the Debye length. From this dispersion relation it is shown that the well-known fluid dynamic steepening tendency of waves propagating in the direction of decreasing density is competing with the effect of Landau damping. Depending on the ratio of electron and ion temperatures, the direction of propagation and the strength of the static magnetic field, waves of wavelengths of the order of the scale height or even greater are shown to be damped. Several special cases are discussed.

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