scholarly journals Alfven wave interactions within the Hall-MHD description

2013 ◽  
Vol 79 (5) ◽  
pp. 909-911 ◽  
Author(s):  
G. BRODIN ◽  
L. STENFLO
Keyword(s):  
Alfven Wave ◽  
Coupling Coefficients ◽  
Wave Interactions ◽  
Wave Coupling ◽  
Mhd Model ◽  
Model Equations ◽  
Hall Mhd

AbstractWe show that comparatively simple expressions for the Alfven wave coupling coefficients can be deduced from the well-known Hall-magnetohydrodynamics (MHD) model equations.

A new decay channel for compressional Alfvén waves in plasmas

2008 ◽  
Vol 74 (1) ◽  
pp. 99-105 ◽  
Author(s):  
G. BRODIN ◽  
P. K. SHUKLA ◽  
L. STENFLO
Keyword(s):  
Decay Channel ◽  
Magnetized Plasma ◽  
Mhd Equations ◽  
Alfven Wave ◽  
Wave Interactions ◽  
Decay Products ◽  
Laboratory Plasmas ◽  
Ideal Magnetohydrodynamic ◽  
Hall Mhd ◽  
The Ideal

AbstractWe present a new efficient wave decay channel involving nonlinear interactions between a compressional Alfvén wave, a kinetic Alfvén wave, and a modified ion sound wave in a magnetized plasma. It is found that the wave coupling strength of the ideal magnetohydrodynamic (MHD) theory is much increased when the effects due to the Hall current are included in a Hall–MHD description of wave–wave interactions. In particular, with a compressional Alfvén pump wave well described by the ideal MHD theory, we find that the growth rate is very high when the decay products have wavelengths of the order of the ion thermal gyroradius or shorter, in which case they must be described by the Hall–MHD equations. The significance of our results to the heating of space and laboratory plasmas as well as for the Solar corona and interstellar media are highlighted.

Nonlinear decay of dispersive Alfvén wave and solar coronal heating

2010 ◽  
Vol 77 (2) ◽  
pp. 237-244 ◽  
Author(s):  
SANJAY KUMAR ◽  
R. P. SHARMA
Keyword(s):  
Wave Interaction ◽  
Magnetized Plasma ◽  
Alfven Wave ◽  
Growth Time ◽  
Coupling Coefficients ◽  
Nonlinear Excitation ◽  
Simple Description ◽  
Wave Decay ◽  
Dispersive Alfvén Wave ◽  
Model Equations

AbstractThis paper presents a simple description of three-wave decay interactions involving a pump dispersive Alfvén wave (DAW), decay DAW and decay slow wave (SW) in a uniform magnetized plasma. When the ponderomotive nonlinearities are incorporated in DAW dynamics, the model equations governing the nonlinear excitation of the SWs by DAW in the low-β plasmas (β ≪ me/mi as applicable to solar corona) are given. The expressions for the coupling coefficients of the three-wave interaction have been derived. The growth rate of the instability is also calculated and found that the value of the decay growth time comes out to be of the order of milliseconds at the pump DAW amplitude B0y/B0 = 10−3.

Growth rate evaluation for the decay instability in space plasmas

2020 ◽  
Author(s):  
Horia Comisel ◽  
Yasuhito Narita ◽  
Uwe Motschmann
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Alfven Wave ◽  
Wave Coupling ◽  
Decay Instability ◽  
Field Fluctuations ◽  
Density Perturbations ◽  
Rate Evaluation ◽  
First Time ◽  
Hall Mhd

<p><tt class="letterText">Here we evaluate for the first time the growth rate of the decay instability in the 2-D wavevector domain spanning the parallel and perpendicular directions to the mean magnetic field. The growth rate is computed for the density perturbations based on the Hall MHD wave-wave coupling theory, which serves as a proxy for the energy spectrum of the compressive magnetic field fluctuations. The growth rate is then also determined for the daughter waves by considering the conservation of the frequencies and the wavevectors for the wave transmission (additive wave-wave coupling) and the wave reflection (subtractive wave-wave coupling). The visualized growth rate is helpful in evaluating the maximum propagation angle to which the decay instability (of the parallel propagating pump Alfven wave) operates.</tt></p>

Three-wave coupling coefficients for MHD plasmas

1988 ◽  
Vol 39 (2) ◽  
pp. 277-284 ◽  
Author(s):  
G. Brodin ◽  
L. Stenflo
Keyword(s):  
General Theory ◽  
Resonant Interaction ◽  
Alfven Waves ◽  
Alfven Wave ◽  
Magnetosonic Wave ◽  
Mhd Waves ◽  
Alfvén Waves ◽  
Coupling Coefficients ◽  
Wave Coupling ◽  
Explicit Expressions

By reconsidering the general theory for the resonant interaction of three waves in a plasma, we find explicit expressions for the coupling coefficients for three MHD waves. In particular we demonstrate that the interaction between two magnetosonic waves and one Alfvén wave, as well as the interaction between two Alfvén waves and one magnetosonic wave, can be described by very simple formulae for the coupling coefficients.

Generation of Alfvén wave energy during magnetic reconnection in Hall MHD

2017 ◽  
Vol 19 (10) ◽  
pp. 105001 ◽  
Author(s):  
Lingjie LI ◽  
Zhiwei MA ◽  
Licheng WANG
Keyword(s):  
Magnetic Reconnection ◽  
Wave Energy ◽  
Alfven Wave ◽  
Hall Mhd

Lagrangian approach to non-linear wave interactions in a warm plasma

1971 ◽  
Vol 6 (1) ◽  
pp. 53-72 ◽  
Author(s):  
J. J. Galloway ◽  
H. Kim
Keyword(s):  
Linear Equations ◽  
Wave Interaction ◽  
Lagrangian Approach ◽  
Linear Wave ◽  
Coupling Coefficients ◽  
Direct Expansion ◽  
Wave Interactions ◽  
Electrostatic Waves ◽  
Non Linear ◽  
Warm Plasma

In this paper, the coupled-mode equations and coupling coefficients for three-wave interaction are derived by a Lagrangian approach for a general medium. A derivation of the Low Lagrangian for a warm plasma is then given, which avoids certain problems associated with the original analysis. An application of the Lagrangian method is made to interaction between collinearly-propagating electrostatic waves, and a coupling coefficient is derived which agrees with a previous result obtained by direct expansion of the non-linear equations. The paper serves primarily to present and demonstrate a conceptually useful and efficient theoretical approach to non-linear wave interactions.

Nonlinear interaction of slow Alfvén wave with ion acoustic wave and applications to space plasma

2013 ◽  
Vol 79 (5) ◽  
pp. 833-836 ◽  
Author(s):  
B. K. DAS ◽  
R. P. SHARMA ◽  
N. YADAV
Keyword(s):  
Acoustic Waves ◽  
Analytical Study ◽  
Pump Wave ◽  
Modulational Instability ◽  
Solar Wind Plasma ◽  
Alfven Wave ◽  
Ion Acoustic Waves ◽  
Ion Acoustic Wave ◽  
Ion Acoustic ◽  
Model Equations

AbstractThe paper is concerned with the analytical study of nonlinear coupling of slow Alfvén wave (SW) with ion acoustic waves (IAWs) in high-β and low-β plasmas. Here the pump wave (SW) number density gets perturbed in the presence of IAW. The model equations of IAW and SW turn out to be the modified Zakharov system of equations when the ponderomotive nonlinearities are incorporated in the IAW and SW dynamics. Growth rate of modulational instability has been calculated. The relevance of these investigations for solar wind plasma and solar coronal plasma has also been discussed.

Parallel proton fire hose instability in gyrotropic Hall MHD model

2010 ◽  
Vol 115 (A4) ◽  
pp. n/a-n/a ◽  
Author(s):  
B.-J. Wang ◽  
L.-N. Hau
Keyword(s):  
Mhd Model ◽  
Hall Mhd ◽  
Fire Hose
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