Kinetic theory for MHD-wave coupling coefficients

1992 ◽  
Vol 47 (3) ◽  
pp. 361-371 ◽  
Author(s):  
Ralf Elvsén
Keyword(s):  
Kinetic Theory ◽  
Wave Interaction ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Coupling Coefficients ◽  
Wave Coupling ◽  
Fluid Theory

The coupling coefficients for resonant three-wave interaction of magnetosonic and Alfvén waves, derived by means of kinetic theory, are presented. The calculations allow for anisotropic background temperatures. The results are compared with previous ones from fluid theory.

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.

Three-wave coupling and parametric decay of kinetic Alfvén waves

1998 ◽  
Vol 60 (3) ◽  
pp. 497-514 ◽  
Author(s):  
Yu. M. VOITENKO
Keyword(s):  
Wave Interaction ◽  
Nonlinear Effects ◽  
Resonant Interaction ◽  
Alfven Waves ◽  
Larmor Radius ◽  
Alfvén Waves ◽  
Decay Instability ◽  
Parametric Decay ◽  
Maxwellian Plasma ◽  
Kinetic Alfvén Waves

The dynamic equation and coupling coefficient of the three-wave interaction among kinetic Alfvén waves (KAWs) are derived by use of plasma kinetic theory. Linear and nonlinear effects of finite ion Larmor radius are kept for arbitrary value of the ‘kinetic variable’ κ=k⊥ρi. The parametric decay KAW→KAW+KAWis investigated and the threshold amplitude for decay instability in a Maxwellian plasma is calculated. The growth rate of decay instability varies as k2⊥ in both limits κ2[Lt ]1 and κ2[Gt ]1. The main tendency of KAWs is towards nonlinear destabilization at very low wave amplitudes Bk/B0[lsim ]10−3. Two applications concerning KAW dynamics in the magnetosphere and in the solar corona show that three-wave resonant interaction among KAWs may be responsible for the turbulent character of their behaviour, often observed in space plasmas.

scholarly journals Nonlinear decay of a large-ampitude ion-acoustic wave

1975 ◽  
Vol 14 (2) ◽  
pp. 347-351 ◽  
Author(s):  
Nguyen The Hung
Keyword(s):  
Acoustic Wave ◽  
Wave Interaction ◽  
Maximum Growth ◽  
Alfven Waves ◽  
Maximum Growth Rate ◽  
Mhd Equations ◽  
Alfvén Waves ◽  
Threshold Condition ◽  
Ion Acoustic Wave ◽  
Ion Acoustic

This paper studies the nonlinear coupling between an ion—acoustic wave and two Alfvén waves. On the basis of the MHD equations, this three-wave interaction is described within the coupled normal-mode theory. It is shown that a largeamplitude acoustic wave can decay into a pair of Alfvén waves in a high-β plasma. Calculations of the threshold condition and the maximum growth rate suggest that this decay process may occur both in the laboratory and in the ionosphere.

Three-wave coupling coefficients for non-uniform plasmas

1981 ◽  
Vol 26 (3) ◽  
pp. 407-418 ◽  
Author(s):  
T. Lindgren ◽  
J. Larsson ◽  
L. Stenflo
Keyword(s):  
Wave Propagation ◽  
Wave Interaction ◽  
Density Gradients ◽  
Coupling Coefficients ◽  
Wave Coupling ◽  
Coupling Processes

Resonant three-wave interaction in a spatially non-uniform magnetized fluid plasma is considered. We calculate the coupling coefficientsVjfor wave propagation in arbitrary directions and demonstrate that new terms, which appear inVjowing to the presence of density gradients, can dominate actual wave coupling processes.

scholarly journals A nonlocal wave-wave interaction among Alfvén waves in an intermediate-β plasma

2011 ◽  
Vol 18 (3) ◽  
pp. 032903 ◽  
Author(s):  
J. S. Zhao ◽  
D. J. Wu ◽  
J. Y. Lu
Keyword(s):  
Wave Interaction ◽  
Alfven Waves ◽  
Alfvén Waves

Kinetic theory of Alfvén waves in plasmas with force-free currents

1991 ◽  
Vol 45 (2) ◽  
pp. 213-228 ◽  
Author(s):  
I. J. Donnelly ◽  
B. E. Clancy
Keyword(s):  
Kinetic Theory ◽  
Small Amplitude ◽  
Alfven Waves ◽  
Alfven Wave ◽  
Larmor Radius ◽  
Alfvén Waves ◽  
Plasma Current ◽  
Theory Analysis ◽  
Wave Heating ◽  
Reversed Field

Equations are derived for the kinetic-theory analysis of small-amplitude Alfvén waves in cylindrical plasmas carrying force-free currents. The equations, which include ion Larmor-radius effects to second order, are applicable to reversed-field pinches as well as to tokamaks. Fourier mode amplitudes are derived for model antennas with radial current feeds, and a quantitative analysis is made of the antenna resistance and the wave density fields in a small tokamak during Alfvén-wave heating. The effect of the plasma current on the wave thermal energy flux is discussed.

MHD Wave Interaction within a Plasma Perturbed by Alfvén Waves

1977 ◽  
Vol 17 (1) ◽  
pp. 51-63 ◽  
Author(s):  
Fenia Laur ◽  
D. Zoler ◽  
N. Thirer
Keyword(s):  
Wave Interaction ◽  
Alfven Waves ◽  
Alfvén Waves
Sign in / Sign up

Export Citation Format

Share Document