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.

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 Nonlinear interaction between acoustic gravity waves

1996 ◽  
Vol 14 (3) ◽  
pp. 304-308 ◽  
Author(s):  
P. Axelsson ◽  
J. Larsson ◽  
L. Stenflo
Keyword(s):  
Gravity Waves ◽  
Nonlinear Interaction ◽  
Low Frequency ◽  
Resonant Interaction ◽  
Coupling Coefficients ◽  
Symmetric Form ◽  
Frequency Limit ◽  
Acoustic Gravity Waves

Abstract. The resonant interaction between three acoustic gravity waves is considered. We improve on the results of previous authors and write the new coupling coefficients in a symmetric form. Particular attention is paid to the low-frequency limit.

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.

A new Hamiltonian formulation for fluids and plasmas. Part 3. Multifluid electrodynamics

1996 ◽  
Vol 55 (2) ◽  
pp. 279-300 ◽  
Author(s):  
Jonas Larsson
Keyword(s):  
Nonlinear Theory ◽  
Hamiltonian Structure ◽  
Hamiltonian Formulation ◽  
Wave Interaction ◽  
Hermitian Structure ◽  
Coupling Coefficients ◽  
Symmetric Form ◽  
Hamiltonian Perturbation

The Hamiltonian structure underlying ideal multifluid electrodynamics is formulated in a way that simplifies Hamiltonian perturbation calculations. We consider linear and lowest-order nonlinear theory, and the results in Part 1 of this series of papers are generalized in a satisfactory way. Thus the Hermitian structure of linearized dynamics is derived, and we obtain the coupling coefficients for resonant three-wave interaction in symmetric form, giving the Manley–Rowe relations.

Nonlinear resonant interaction of three longitudinal waves in a magnetized plasma

1976 ◽  
Vol 16 (1) ◽  
pp. 95-102 ◽  
Author(s):  
K. P. Das ◽  
D. Banerjee
Keyword(s):  
Uniform Magnetic Field ◽  
Resonant Interaction ◽  
Magnetized Plasma ◽  
Quantum Mechanical ◽  
Coupling Coefficients ◽  
Arbitrary Angle ◽  
Mechanical Method ◽  
Longitudinal Waves ◽  
Coupled Mode ◽  
Quantum Mechanical Method

Resonant nonlinear interaction among three longitudinal waves propagating along any arbitrary angle to a uniform magnetic field in a plasma is investigated by a quantum-mechanical method. The coupled mode equations and coupling coefficients are derived.

scholarly journals Nonlinear wave interactions of kinetic sound waves

2015 ◽  
Vol 33 (8) ◽  
pp. 1007-1010 ◽  
Author(s):  
G. Brodin ◽  
L. Stenflo
Keyword(s):  
Kinetic Theory ◽  
Low Frequency ◽  
Resonant Interaction ◽  
Magnetized Plasma ◽  
Sound Waves ◽  
Coupling Coefficients ◽  
Wave Interactions ◽  
Electrostatic Waves ◽  
Fluid Theory ◽  
Nonlinear Wave Interactions

Abstract. We reconsider the nonlinear resonant interaction between three electrostatic waves in a magnetized plasma. The general coupling coefficients derived from kinetic theory are reduced here to the low-frequency limit. The main contribution to the coupling coefficient we find in this way agrees with the coefficient recently presented in Annales Geophysicae. But we also deduce another contribution which sometimes can be important, and which qualitatively agrees with that of an even more recent paper. We have thus demonstrated how results derived from fluid theory can be improved and generalized by means of kinetic theory. Possible extensions of our results are outlined.

Three-wave interaction in a cold plasma column

1985 ◽  
Vol 34 (3) ◽  
pp. 427-434 ◽  
Author(s):  
T. Lindgren ◽  
L. Stenflo ◽  
N. Kostov ◽  
I. Zhelyazkov
Keyword(s):  
Boundary Conditions ◽  
Surface Waves ◽  
Plasma Column ◽  
High Frequency ◽  
Cold Plasma ◽  
Wave Interaction ◽  
Resonant Interaction ◽  
Coupling Coefficients ◽  
Surface Charges ◽  
Coupled Mode

We derive the coupled-mode equations for the non-resonant interaction of three high-frequency surface waves propagating along a cold plasma column with sharp movable boundary. The plasma is then supposed to be surrounded by vacuum. Our boundary conditions take into account the effects of the presence of surface charges, as well as the movements of the boundary. The coupling coefficients are expressed in explicit forms and compared with previous results.

Kinetic theory of three-wave interaction in a magnetied plasma

1970 ◽  
Vol 4 (3) ◽  
pp. 585-593 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Magnetic Field ◽  
Kinetic Theory ◽  
Constant Magnetic Field ◽  
Wave Interaction ◽  
Resonant Interaction ◽  
Coupled Mode Theory ◽  
Coupling Coefficients ◽  
Kinetic Description ◽  
Homogeneous Plasma ◽  
Coupled Mode

This paper considers the non-linear resonant interaction between three waves, which propagate in the direction of a constant magnetic field in a homogeneous plasma. A coupled-mode theory, which makes it possible to derive the coupling coefficients within a kinetic description, is developed.

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.

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