Parametric instability of a large‐amplitude nonmonochromatic Alfvén wave

1996 ◽  
Vol 3 (12) ◽  
pp. 4427-4433 ◽  
Author(s):  
F. Malara ◽  
M. Velli
Keyword(s):  
Large Amplitude ◽  
Parametric Instability ◽  
Alfven Wave

Geomagnetic response to large-amplitude interplanetary Alfvén wave trains

1995 ◽  
Vol T60 ◽  
pp. 140-143 ◽  
Author(s):  
W D Gonzalez ◽  
A L Clúa de Gonzalez ◽  
B T Tsurutani
Keyword(s):  
Large Amplitude ◽  
Alfven Wave ◽  
Wave Trains

Chaotic dynamics of large-amplitude alfvén-wave trains in the solar wind.

2001 ◽  
Vol 28 (5) ◽  
pp. 771-774 ◽  
Author(s):  
F.A. Borotto ◽  
A.C.-L. Chian ◽  
A.L.C. Gonzalez ◽  
W.D. Gonzalez ◽  
B.T. Tsurutani
Keyword(s):  
Solar Wind ◽  
Large Amplitude ◽  
Chaotic Dynamics ◽  
Alfven Wave ◽  
Wave Trains

scholarly journals Nonlinear evolution of the parametric instability: numerical predictions versus observations in the heliosphere

2001 ◽  
Vol 8 (3) ◽  
pp. 159-166 ◽  
Author(s):  
F. Malara ◽  
L. Primavera ◽  
P. Veltri
Keyword(s):  
Large Scale ◽  
Parametric Instability ◽  
Low Frequency ◽  
Heliospheric Current Sheet ◽  
Mhd Equations ◽  
Alfven Wave ◽  
The Sun ◽  
High Latitudes ◽  
Initial Correlation ◽  
Numerical Predictions

Abstract. Low-frequency turbulence in the solar wind is characterized by a high degree of Alfvénicity close to the Sun. Cross-helicity, which is a measure of Alfvénic correlation, tends to decrease with increasing distance from the Sun at high latitudes as well as in slow-speed streams at low latitudes. In the latter case, large scale inhomogeneities (velocity shears, the heliospheric current sheet) are present, which are sources of decorrelation; yet at high latitudes, the wind is much more homogeneous, and a possible evolution mechanism is represented by the parametric instability. The parametric decay of an circularly polarized broadband Alfvén wave is then investigated, as a source of decorrelation. The time evolution is followed by numerically integrating the full set of nonlinear MHD equations, up to instability saturation. We find that, for <beta>  ~ 1, the final cross-helicity is ~ 0.5, corresponding to a partial depletion of the initial correlation. Compressive fluctuations at a moderate level are also present. Most of the spectrum is dominated by forward propagating Alfvénic fluctuations, while backscattered fluctuations dominate large scales. With increasing time, the spectra of Elsässer variables tend to approach each other. Some results concerning quantities measured in the high-latitude wind are reviewed, and a qualitative agreement with the results of the numerical model is found.

scholarly journals Parametric instability of a monochromatic Alfven wave: Perpendicular decay in low beta plasma

2013 ◽  
Vol 20 (7) ◽  
pp. 072902 ◽  
Author(s):  
Xinliang Gao ◽  
Quanming Lu ◽  
Xing Li ◽  
Lican Shan ◽  
Shui Wang
Keyword(s):  
Parametric Instability ◽  
Alfven Wave

ALFVÉN INTERIOR CRISIS

2004 ◽  
Vol 14 (07) ◽  
pp. 2375-2380 ◽  
Author(s):  
F. A. BOROTTO ◽  
A. C.-L. CHIAN ◽  
E. L. REMPEL
Keyword(s):  
Periodic Orbits ◽  
Large Amplitude ◽  
Numerical Study ◽  
Alfven Wave ◽  
Unstable Periodic Orbits ◽  
Stable And Unstable Manifolds ◽  
Laboratory Plasmas ◽  
Derivative Nonlinear Schrödinger Equation ◽  
Unstable Manifolds ◽  
Low Dimensional

A numerical study of an interior crisis of a large-amplitude Alfvén wave described by the driven-dissipative derivative nonlinear Schrödinger equation, in the low-dimensional limit, is reported. An example of Alfvén interior crisis is characterized using the unstable periodic orbits and their associated invariant stable and unstable manifolds in the Poincaré plane. We suggest that this type of chaotic transition can be observed in space and laboratory plasmas.

Parametric instabilities of circularly polarized large-amplitude dispersive Alfvén waves: excitation of parallel-propagating electromagnetic daughter waves

1991 ◽  
Vol 46 (1) ◽  
pp. 107-127 ◽  
Author(s):  
Adolfo F. Viñas ◽  
Melvyn L. Goldstein
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Large Amplitude ◽  
Wave Amplitude ◽  
Pump Wave ◽  
Modulational Instability ◽  
Alfven Wave ◽  
Circularly Polarized ◽  
Background Magnetic Field ◽  
Electromagnetic Instability

We investigate the parametric decay and modulational instabilities of a large-amplitude circularly polarized dispersive Alfvén wave. Our treatment is more general than that of previous derivations based on the two-fluid equations in that we allow for propagation of the unstable daughter waves at arbitrary angles to the background magnetic field, although our main concern in this paper is the exploration of new aspects of propagation parallel to the DC magnetic field. In addition to the well-known coupling of pump waves to electrostatic daughter waves, we find a new parametric channel where the pump wave couples directly to electromagnetic daughter waves. Excitation of the electromagnetic instability occurs only for modulation (k/k0 ≤ 1) and not for decay (k/k0 < 1). In contrast with the modulational instability excited by the electrostatic coupling, the electromagnetic modulational instability exists for both left-hand (K > 0) and right-hand (K < 0) polarization. For large k/k0, the electromagnetic channel dominates, while at lower values the electrostatic channel has a larger growth rate for modest values of dispersion, pump-wave amplitude and plasma β. Unlike the electrostatic modulational instability, the growth rate of the electromagnetic instability increases monotonically with increasing pump wave amplitude. This analysis confirms that, for decay, the dominant process is coupling to electrostatic daughter waves, at least for parallel propagation. For modulation, the coupling to electromagnetic daughter waves usually dominates, suggesting that the parametric modulational instability is really an electromagnetic phenomenon.

Studies on the formation of large amplitude kinetic Alfvén wave solitons and double layers in plasmas

2007 ◽  
Vol 14 (1) ◽  
pp. 012107 ◽  
Author(s):  
N. Devi ◽  
R. Gogoi ◽  
G. C. Das ◽  
R. Roychoudhury
Keyword(s):  
Large Amplitude ◽  
Alfven Wave ◽  
Double Layers ◽  
Kinetic Alfvén Wave ◽  
Kinetic Alfven Wave
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