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.

Three-wave interaction in a magnetized Vlasov plasma

1975 ◽  
Vol 14 (3) ◽  
pp. 467-473 ◽  
Author(s):  
J. Larsson
Keyword(s):  
Maxwell Equations ◽  
Wave Interaction ◽  
Resonant Interaction ◽  
Magnetized Plasma ◽  
Coupling Coefficients ◽  
Symmetric Form ◽  
Vlasov Plasma

The resonant interaction of three waves in a uniform hot magnetized plasma is examined. The coupling coefficients are obtained in a symmetric form from the Vlasov-Maxwell equations.

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.

Filamentation instability associated with dispersive Alfvén wave and solar coronal heating

2011 ◽  
Vol 77 (6) ◽  
pp. 725-732 ◽  
Author(s):  
B. K. DAS ◽  
S. KUMAR ◽  
R. P. SHARMA
Keyword(s):  
Growth Rate ◽  
Solar Corona ◽  
Low Frequency ◽  
Alfven Wave ◽  
Wave Number ◽  
Threshold Field ◽  
Filamentation Instability ◽  
Dispersive Alfvén Wave ◽  
Model Equations ◽  
Modulational Instabilities

AbstractThis paper presents the nonlinear dynamics of the dispersive Alfvén wave (DAW) in the low-β plasmas (β≪me/mi; known as inertial Alfvén waves) applicable to solar corona. The pump DAW is perturbed by a low-frequency slow Alfvén wave (SW). When the ponderomotive nonlinearities are incorporated in the DAW and SW dynamics, the model equations of DAW and SW turn out to be the modified Zakharov system of equations (MZSE) Growth rate and threshold field for modulational (filamentation) instability have been calculated. The dependence of the growth rate on the perturbation wave number and the pump wave parameters such as k0xλe (inertial) has also been presented. It is obvious from this investigation that DAW can become unstable when it nonlinearly interacts with the SW and modulational instabilities can be triggered. The relevance of these investigations for solar corona has been discussed.

Kinetic theory of three-wave interaction in a magnetized plasma

1972 ◽  
Vol 7 (1) ◽  
pp. 107-116 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Magnetic Field ◽  
Kinetic Theory ◽  
Constant Magnetic Field ◽  
Wave Interaction ◽  
Resonant Interaction ◽  
Magnetized Plasma ◽  
Coupling Coefficients ◽  
Uniform Plasma

The resonant interaction between three waves, propagating perpendicular to a constant magnetic field in a spatially uniform plasma, is considered. Significant terms, which have been neglected in the coupling coefficients of previous work, are included.

scholarly journals Three-wave interaction and Manley–Rowe relations in quantum hydrodynamics

2014 ◽  
Vol 80 (4) ◽  
pp. 643-652 ◽  
Author(s):  
Erik Wallin ◽  
Jens Zamanian ◽  
Gert Brodin
Keyword(s):  
Wave Interaction ◽  
Magnetized Plasmas ◽  
Coupling Coefficients ◽  
Quantum Hydrodynamics ◽  
Dispersive Term

The theory for nonlinear three-wave interaction in magnetized plasmas is reconsidered using quantum hydrodynamics. The general coupling coefficients are calculated for the generalized Bohm de Broglie term. It is found that the Manley–Rowe relations are fulfilled only if the form of the particle dispersive term coincides with the standard expression. The implications of our results are discussed.

scholarly journals Mechanisms for discrete auroral arc breakup by nonlinear Alfvén wave interaction

1999 ◽  
Vol 104 (A9) ◽  
pp. 19931-19940 ◽  
Author(s):  
R. M. Kinney ◽  
F. V. Coroniti ◽  
J. C. McWilliams ◽  
P. L. Pritchett
Keyword(s):  
Wave Interaction ◽  
Alfven Wave

scholarly journals High-speed shear-driven dynamos. Part 1. Asymptotic analysis

2019 ◽  
Vol 868 ◽  
pp. 176-211 ◽  
Author(s):  
Kengo Deguchi
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Solar Phys ◽  
Wave Interaction ◽  
Resonant Absorption ◽  
Base Flow ◽  
Transition To Turbulence ◽  
Alfven Wave ◽  
Hydrodynamic Theory ◽  
Large Reynolds Number

Rational large Reynolds number matched asymptotic expansions of three-dimensional nonlinear magneto-hydrodynamic (MHD) states are the concern of this contribution. The nonlinear MHD states, assumed to be predominantly driven by a unidirectional shear, can be sustained without any linear instability of the base flow and hence are responsible for subcritical transition to turbulence. Two classes of nonlinear MHD states are found. The first class of nonlinear states emerged out of a nice combination of the purely hydrodynamic vortex/wave interaction theory by Hall & Smith (J. Fluid Mech., vol. 227, 1991, pp. 641–666) and the resonant absorption theories on Alfvén waves, developed in the solar physics community (e.g. Sakurai et al. Solar Phys., vol. 133, 1991, pp. 227–245; Goossens et al. Solar Phys., vol. 157, 1995, pp. 75–102). Similar to the hydrodynamic theory, the mechanism of the MHD states can be explained by the successive interaction of the roll, streak and wave fields, which are now defined both for the hydrodynamic and magnetic fields. The derivation of this ‘vortex/Alfvén wave interaction’ state is rather straightforward as the scalings for both of the hydrodynamic and magnetic fields are identical. It turns out that the leading-order magnetic field of the asymptotic states appears only when a small external magnetic field is present. However, it does not mean that purely shear-driven dynamos are not possible. In fact, the second class of ‘self-sustained shear-driven dynamo theory’ shows a magnetic generation that is slightly smaller in size in the absence of any external field. Despite its small size, the magnetic field causes the novel feedback mechanism in the velocity field through resonant absorption, wherein the magnetic wave becomes more strongly amplified than the hydrodynamic counterpart.

Dispersive Alfvén Wave Control of O + Ion Outflow and Energy Densities in the Inner Magnetosphere

2019 ◽  
Vol 46 (15) ◽  
pp. 8597-8606 ◽  
Author(s):  
A. J. Hull ◽  
C. C. Chaston ◽  
J. W. Bonnell ◽  
J. R. Wygant ◽  
C. A. Kletzing ◽  
...  
Keyword(s):  
Alfven Wave ◽  
Ion Outflow ◽  
Inner Magnetosphere ◽  
Dispersive Alfvén Wave ◽  
Wave Control

Solitary Alfvén waveguide structures in a magnetized plasma

1980 ◽  
Vol 24 (1) ◽  
pp. 157-162 ◽  
Author(s):  
J. P. Sheerin ◽  
R. S. B. Ong
Keyword(s):  
Magnetic Field ◽  
Solitary Wave ◽  
Field Line ◽  
Magnetic Field Line ◽  
Axial Symmetry ◽  
Wave Structure ◽  
Magnetized Plasma ◽  
Alfven Wave ◽  
Wave Forms ◽  
The Magnetic Field

A nonlinear Alfvén wave structure with axial symmetry about the line of force of an ambient magnetic field is presented. The solitary wave forms a ‘ring’ shaped waveguide along the magnetic field line.

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