Nonlinear interaction of electron acoustic waves with Langmuir waves in presence of magnetic field in plasmas

2014 ◽  
Vol 81 (1) ◽  
Author(s):  
Manjistha Dutta ◽  
Manoranjan Khan ◽  
Nikhil Chakrabarti
Keyword(s):  
Magnetic Field ◽  
Nonlinear Interaction ◽  
Acoustic Waves ◽  
Low Frequency ◽  
Acoustic Mode ◽  
Magnetized Plasma ◽  
Langmuir Waves ◽  
Coupled Equations ◽  
Electron Acoustic Wave ◽  
Electron Acoustic

Nonlinear interaction between Langmuir waves and Electron Acoustic Wave (EAW) is being studied in a warm magnetized plasma in presence of two intermingled fluids, hot electrons, and cold electrons while ions forming static background. Two-fluid, two-timescale theory is performed to derive modified Zakharov's equations in a magnetized plasma. These coupled equations describe low-frequency response of electron density due to high-frequency electric field along with magnetic field perturbations. Linear analysis shows coupling between acoustic mode, upper hybrid mode, and cyclotron modes. These modes are found to be modified due to the presence of two electron components. These equations are significant in the context of weak and strong turbulence.

Filamentation and collapse of Langmuir waves in a weak magnetic field

1982 ◽  
Vol 28 (1) ◽  
pp. 19-36 ◽  
Author(s):  
P. Rolland ◽  
S. G. Tagare
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Small Angle ◽  
Nonlinear Interaction ◽  
High Frequency ◽  
Weak Magnetic Field ◽  
Low Frequency ◽  
Langmuir Waves ◽  
The Magnetic Field

The filamentation and collapse of Langmuir waves in a weak magnetic field are analysed in two particular cases of low-frequency acoustic perturbations: (i) adiabatic perturbations which correspond to subsonic collapse, and (ii) nonadiabatic perturbations which correspond to supersonic collapse. Here the existence of Langmuir filaments and Langmuir collapse in a weak magnetic field are due to nonlinear interaction of high-frequency Langmuir waves (which make small angle with the external magnetic field) with low-frequency acoustic perturbations along the magnetic field.

scholarly journals Electron acoustic solitons in the Earth's magnetotail

2004 ◽  
Vol 11 (2) ◽  
pp. 215-218 ◽  
Author(s):  
S. G. Tagare ◽  
S. V. Singh ◽  
R. V. Reddy ◽  
G. S. Lakhina
Keyword(s):  
Electron Beam ◽  
Small Amplitude ◽  
Low Frequency ◽  
Frequency Component ◽  
Magnetized Plasma ◽  
Cold Electron ◽  
Ion Plasma ◽  
Electron Acoustic ◽  
Two Temperature ◽  
Perpendicular Polarization

Abstract. Small amplitude electron - acoustic solitons are studied in a magnetized plasma consisting of two types of electrons, namely cold electron beam and background plasma electrons and two temperature ion plasma. The analysis predicts rarefactive solitons. The model may provide a possible explanation for the perpendicular polarization of the low-frequency component of the broadband electrostatic noise observed in the Earth's magnetotail.

Electromagnetic wave backscattering across a magnetic field in a bounded plasma

1979 ◽  
Vol 22 (1) ◽  
pp. 85-96
Author(s):  
Joseph E. Willett ◽  
Sinan Bilikmen ◽  
Behrooz Maraghechi
Keyword(s):  
Magnetic Field ◽  
Numerical Study ◽  
Magnetized Plasma ◽  
Absolute Instability ◽  
Moment Equations ◽  
Homogeneous Plasma ◽  
Coupled Equations ◽  
Bounded Plasma ◽  
The Moment ◽  
The Magnetic Field

The stimulated backscattering of electromagnetic ordinary waves from extraordinary waves propagating normal to a magnetic field in a plasma of finite length is studied. A pair of coupled differential equations for the amplitudes of the backscattered and scatterer waves is derived from Maxwell's equations and the moment equations for an inhomogeneous magnetized plasma. Solution of the coupled equations for a homogeneous plasma yields an expression for the growth rate of the absolute instability as a function of plasma length and damping rates of the product waves. The convective regime in which only spatial amplification occurs is discussed. A numerical study of the effects of the magnetic field on Raman and Brillouin backscattering is presented.

Nonlinear behavior of electron acoustic waves in an un-magnetized plasma

2011 ◽  
Vol 18 (10) ◽  
pp. 102301 ◽  
Author(s):  
Manjistha Dutta ◽  
Nikhil Chakrabarti ◽  
Rajkumar Roychoudhury ◽  
Manoranjan Khan
Keyword(s):  
Acoustic Waves ◽  
Nonlinear Behavior ◽  
Magnetized Plasma ◽  
Electron Acoustic Waves ◽  
Electron Acoustic

scholarly journals Excitation Magnetohydrodynamic Wave by Gravitational Wave Produced by Binary of Neutron Stars

2017 ◽  
Vol 45 ◽  
pp. 1760006
Author(s):  
Adam S. Gontijo ◽  
Oswaldo D. Miranda
Keyword(s):  
Magnetic Field ◽  
Neutron Stars ◽  
Gravitational Wave ◽  
Acoustic Mode ◽  
Magnetized Plasma ◽  
Uniform Field ◽  
Pressure Gradients ◽  
Magnetohydrodynamic Wave ◽  
Field Lines ◽  
The Magnetic Field

The gravitational wave, through the strongly magnetized plasma surrounding the neutron stars, in the [Formula: see text]-direction, deforms plasma particle rings in ellipses, alternating axes periodically along the direction of the magnetic field ([Formula: see text]-axis) and of the [Formula: see text]-axis. The uniform field leads to a modulation of the magnetic field, which results in magnetic pressure gradients (magneto-acoustic mode) or in the shear of the magnetic field lines (Alfvén mode). The gravitational wave drives MHD modes and transfers energy to the plasma, can become an important alternative process for the acceleration of baryons to high Lorentz factors observed in short GRBs. The total amount of energy that is transferred from the gravitational wave to the plasma is estimated ([Formula: see text]J - [Formula: see text] J), with [Formula: see text]. We compare our results with previously obtained results by other works.

Nonlinear interaction between longitudinal waves in a magnetized plasma

1978 ◽  
Vol 19 (3) ◽  
pp. 405-410 ◽  
Author(s):  
A. A. Selim
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Quantum Field Theory ◽  
Nonlinear Interaction ◽  
Uniform Magnetic Field ◽  
Magnetized Plasma ◽  
Quantum Field ◽  
Arbitrary Angle ◽  
Longitudinal Waves ◽  
Coupled Mode

Quantum field theory is used to investigate the resonant nonlinear interaction between three longitudinal waves propagating at any arbitrary angle to a uniform magnetic field in a plasma. The coupled mode equations, coupling coefficient and a formula for the growth rates are derived.

scholarly journals Hydrodynamics of quantum corrections to the Coulomb interaction via the third rank tensor evolution equation: application to Langmuir waves and spin-electron acoustic waves

2021 ◽  
Vol 87 (5) ◽  
Author(s):  
Pavel A. Andreev
Keyword(s):  
Evolution Equation ◽  
Coulomb Interaction ◽  
Acoustic Waves ◽  
Quantum Corrections ◽  
Fermi Velocity ◽  
Langmuir Waves ◽  
Electron Acoustic Waves ◽  
Rank Tensor ◽  
Electron Acoustic ◽  
Pressure Evolution

The quantum effects in plasmas can be described by the hydrodynamics containing the continuity and Euler equations. However, novel quantum phenomena are found via the extended set of hydrodynamic equations, where the pressure evolution equation and the pressure flux third-rank tensor evolution equation are included. These give the quantum corrections to the Coulomb interaction. The spectra of the Langmuir waves and the spin-electron acoustic waves are calculated. The application of the pressure evolution equation ensures that the contribution of pressure in the Langmuir wave spectrum is proportional to $(3/5)v_{\textrm {Fe}}^{2}$ rather than $(1/3)v_{\textrm {Fe}}^{2}$ , where $v_{\textrm {Fe}}$ is the Fermi velocity.

Spectra of langmuir waves in a magnetized plasma with low-frequency turbulence

2004 ◽  
Vol 30 (9) ◽  
pp. 756-760 ◽  
Author(s):  
T. M. Burinskaya ◽  
J. L. Rauch ◽  
M. M. Mogilevskii
Keyword(s):  
Low Frequency ◽  
Magnetized Plasma ◽  
Langmuir Waves

scholarly journals Electrostatic Langmuir waves and spin-electron-acoustic waves in spin polarized plasma double layer

2019 ◽  
Vol 26 (12) ◽  
pp. 122101
Author(s):  
Pavel A. Andreev ◽  
T. G. Golubeva (Kiriltseva) ◽  
Punit Kumar ◽  
L. S. Kuz'menkov
Keyword(s):  
Double Layer ◽  
Acoustic Waves ◽  
Langmuir Waves ◽  
Electron Acoustic Waves ◽  
Spin Polarized ◽  
Electron Acoustic
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