Nonlinear interection of alfven waves and ionic acoustic waves in a magnetized plasma

1996 ◽  
Vol 2 (3-4) ◽  
pp. 44-48
Author(s):  
A.K. Yukhimuk ◽  
◽  
O.G. Fal'ko ◽  
V.A. Yukhimuk ◽  
V.P. Kucherenko ◽  
...  
Keyword(s):  
Acoustic Waves ◽  
Alfven Waves ◽  
Magnetized Plasma ◽  
Alfvén Waves

Three-dimensional stability of solitary shear kinetic Alfvén waves in a low-beta plasma

1989 ◽  
Vol 41 (1) ◽  
pp. 171-184 ◽  
Author(s):  
K. P. Das ◽  
L. P. J. Kamp ◽  
F. W. Sluijter
Keyword(s):  
Growth Rate ◽  
Dimensional Stability ◽  
Three Dimensional ◽  
Alfven Waves ◽  
Magnetized Plasma ◽  
Alfvén Waves ◽  
Ion Acoustic Solitons ◽  
The Stability ◽  
External Uniform Magnetic Field ◽  
Kinetic Alfvén Waves

The three-dimensional stability of solitary shear kinetic Alfvén waves in a low-β plasma is investigated by the method of Zakharov & Rubenchik (1974). It is found that there is no instability if the direction of perturbation falls within a certain region of space. The growth rate of the instability for the unstable region is determined. This growth rate is found to decrease with increasing angle between the direction of propagation of the solitary wave and the direction of the external uniform magnetic field. A particular case of the present analysis gives results on the stability of ion-acoustic solitons in a magnetized plasma.

The growth of Alfvén waves in the resistive current-driven instability

1997 ◽  
Vol 58 (3) ◽  
pp. 433-440 ◽  
Author(s):  
GUANG-LI HUANG ◽  
REN-YING WANG
Keyword(s):  
Growth Rate ◽  
Electric Current ◽  
Alfven Waves ◽  
Magnetized Plasma ◽  
Alfvén Waves ◽  
Tearing Mode ◽  
Stability Calculation ◽  
Electrons And Ions ◽  
Linear Friction ◽  
Two Fluid

On the basis of a two-fluid, cold-plasma, linear stability calculation with linear friction between electrons and ions, the growth rate of Alfvén waves is derived from the dispersion relation for a uniformly magnetized plasma, in which the plasma resistivity and a uniform electric current carried by an electron beam are both considered. The growth rate is directly proportional to the plasma resistivity, the electric current density and the value of the parameter ωxpe/Ωe (where ωxpe and Ωe are the electron plasma and cyclotron frequency respectively). Moreover, the growth of Alfvén waves is mainly excited in a direction nearly parallel to the ambient magnetic field. The critical value of the velocity of the electron fluid is just equal to the Alfvén velocity. The results of this paper are compared with those for the linear tearing mode.

Stability of Alfvén wings in uniform plasmas

2007 ◽  
Vol 73 (6) ◽  
pp. 957-966
Author(s):  
P. A. SALLAGO ◽  
A. M. PLATZECK
Keyword(s):  
Solar System ◽  
Normal Modes ◽  
Background Field ◽  
Alfven Waves ◽  
Magnetized Plasma ◽  
Alfvén Waves ◽  
Solar System Bodies ◽  
Uniform Background ◽  
The Stability ◽  
Magnetohydrodynamic System

AbstractA conducting source moving uniformly through a magnetized plasma generates, among a variety of perturbations, Alfvén waves. An interesting characteristic of Alfvén waves is that they can build up structures in the plasma called Alfvén wings. These wings have been detected and measured in many solar system bodies, and their existence has also been theoretically proven. However, their stability remains to be studied. The aim of this paper is to analyze the stability of an Alfvén wing developed in a uniform background field, in the presence of an incompressible perturbation that has the same symmetry as the Alfvén wing, in the magnetohydrodynamic approximation. The study of the stability of a magnetohydrodynamic system is often performed by linearizing the equations and using either the normal modes method or the energy method. In spite of being applicable for many problems, both methods become algebraically complicated if the structure under analysis is a highly non-uniform one. Palumbo has developed an analytical method for the study of the stability of static structures with a symmetry in magnetized plasmas, in the presence of incompressible perturbations with the same symmetry as the structure (Palumbo 1998 Thesis, Universidad de Firenze, Italia). In the present paper we extend this method for Alfvén wings that are stationary structures, and conclude that in the presence of this kind of perturbation they are stable.

scholarly journals Controlling the type and intensity of low-frequency waves generated by laser plasma clots in a force tube of magnetized plasma

2021 ◽  
Vol 2067 (1) ◽  
pp. 012019
Author(s):  
A G Berezutsky ◽  
V N Tishchenko ◽  
A A Chibranov ◽  
I B Miroshnichenko ◽  
Yu P Zakharov ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Laser Plasma ◽  
Low Frequency ◽  
Alfven Waves ◽  
Magnetized Plasma ◽  
Background Plasma ◽  
Alfvén Waves ◽  
Whistler Waves ◽  
Low Frequency Waves

Abstract In this work, we study the influence of the parameters of a magnetized background plasma on the intensity of whistler waves generated by periodic laser plasma bunches in a magnetic field tube. It is shown that at 0.3 < Lpi > 0.4 Alfvén waves and whistlers are generated. In the region Lpi> 0.5, intense whistlers with an amplitude of δBmax / B0 ∼ 0.24 are generated.

Parametric excitation of upper hybrid and kinetic alfven waves in a magnetized plasma

1998 ◽  
Vol 4 (1) ◽  
pp. 108-112 ◽  
Author(s):  
A.K. Yukhimuk ◽  
◽  
V.N. Fedun ◽  
V.A. Yukhimuk ◽  
V.N. Ivchenko ◽  
...  
Keyword(s):  
Parametric Excitation ◽  
Alfven Waves ◽  
Magnetized Plasma ◽  
Alfvén Waves ◽  
Kinetic Alfvén Waves

scholarly journals Nonlinear Landau Damping of Alfven Waves and the Production and Propagation of Cosmic Rays

1981 ◽  
Vol 94 ◽  
pp. 255-256
Author(s):  
R. J. Stoneham
Keyword(s):  
Cosmic Rays ◽  
Phase Speed ◽  
Alfven Waves ◽  
Magnetized Plasma ◽  
Landau Damping ◽  
Alfvén Waves ◽  
Fermi Acceleration ◽  
Image Position ◽  
Hydromagnetic Waves ◽  
The Waves

The existence of hydromagnetic waves (waves whose frequency ω is less than the ion gyrofrequency Ωi = eB/mic) in a collisionless magnetized plasma with β, the ratio of plasma pressure to magnetic pressure, much greater than unity is required in theories for Fermi acceleration of cosmic rays by converging scattering centres at a shock front, in theories for the adiabatic cooling of cosmic rays due to trapping by plasma instabilities in an expanding supernova remnant (Kulsrud and Zweibel 1975, Schwartz and Skilling 1978) and in theories for resonant scattering of cosmic rays by hydromagnetic waves in the hot phase of the interstellar medium (Holman et al. 1979). Hydromagnetic waves may be damped by thermal ion cyclotron damping for wavenumbers k≳Ωi/vi, where vi = (Ti/mi)1/2 is the average thermal ion speed, and by linear Landau damping for non-zero angles of propagation with respect to the ambient magnetic field (Foote and Kulsrud 1979). Damping by both these processes is strong in a high-β plasma where there are many particles travelling at the phase speed of the waves. Hydromagnetic waves propagating along may be damped by nonlinear wave-particle interactions, the most important of which is thermal ion Landau damping of the beat wave of two Alfvén waves. This nonlinear process has the effect of transferring energy from the waves to the particles and can therefore be considered as a damping process for the waves.

The parametric excitation of kinetic Alfvén waves by a magnetic pump

1981 ◽  
Vol 26 (2) ◽  
pp. 253-266 ◽  
Author(s):  
N. F. Cramer ◽  
I. J. Donnelly
Keyword(s):  
Finite Temperature ◽  
Acoustic Waves ◽  
Temperature Effects ◽  
Mode Conversion ◽  
Low Frequency ◽  
Alfven Waves ◽  
Alfven Wave ◽  
Alfvén Waves ◽  
Ion Acoustic Wave ◽  
Low Frequency Waves

The parametric decay of a magneto-acoustic pump wave into low-frequency waves modified by finite temperature effects is considered. The excited waves are the kinetic Alfvén wave and the ion-acoustic wave. The former wave plays an important role in linear heating schemes employing the mode conversion of magneto-acoustic waves at the Alfvén resonance. Here we calculate the parametric growth rates and pump thresholds for excitation of these waves. The main result is that finite temperature effects tend to reduce the growth rate of Alfvén waves.

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