Properties Of Electron-acoustic Waves Research Articles

Dynamical Properties of Electron Acoustic Waves in a Relativistically Degenerate Plasma Based on the Nonlinear Schrodinger Equation

In this work we study the dynamical properties of electron acoustic wave (EAWs) in a relativistically degenerate plasma containing statistically distributed hot and cold electrons and stationary ions. The electron acoustic wave evolve into amplitude modulated wave that is expressed by the Nonlinear Schrodinger equation (NLSE). We next study the dynamical properties of EAWs by the use of plane plots.

Dispersion properties of electron acoustic waves in degenerate and non‐degenerate quantum plasmas

AbstractThe longitudinal response functions are used to generalize the dispersion properties of electron acoustic waves (EAWs) in the presence of quantum recoil, for isotropic, non‐relativistic, degenerate/non‐degenerate plasmas. In order to study the EAWs, the constituents of non‐degenerate (thermal) plasma are considered to be of two groups of electrons having different number density and temperature, namely the cold electrons and the hot electrons. Similarly in degenerate (Fermi) plasma the two population of electrons are considered to be the thinly populated and the thickly populated electrons. The sparsely populated electrons are termed as cold electrons while the densely populated ones are termed as hot electrons. The ions are stationary which form the neutralizing background. The absorption coefficients for Landau damping with the inclusion of the quantum recoil in both plasmas are calculated and discussed. The results are discussed in the context of laser‐produced plasma.

Planar and nonplanar electron acoustic solitons in dissipative quantum plasma

The nonlinear propagation of electron acoustic waves (EAWs) in an unmagnetized dissipative quantum plasma is studied both in an unbounded planar geometry and a bounded nonplanar geometry. With the help of the reductive perturbation technique, damped Korteweg-de Vries (KdV), cylindrical and spherical KdV equations are derived by using the quantum hydrodynamic set of equations for EAWs. The linear dispersion relation is found to be modified by the collision between electrons and ions. The nondimensional parameter δ, the equilibrium density ratio of the cold to hot electron component, plays a crucial role in the formation of both compressive and rarefactive solitons. Approximate analytical time evolution solutions of planar and nonplanar damped KdV equations are presented. Numerically, the effects of several physical parameters on the properties of EAWs are discussed in the planar and nonplanar geometry. It is also found that electron acoustic solitons in the nonplanar geometry significantly differ from the planar geometry.

Solitonic, quasi-periodic and periodic pattern of electron acoustic waves in quantum plasma

In the present paper we investigate the nonlinear wave structures of electron acoustic waves (EAWs) in an unmagnetized quantum plasma consisting of cold and hot electrons and ions. The one-dimensional quantum hydrodynamic model is used to study the quantum correction of the well known EAWs. Computational investigations have been performed to examine the effects of quantum diffraction and Mach number on nonlinear waves. It is shown that for Mach number M 1, quasi-periodic and periodic type solution exist. The effects of other several parameters on the properties of EAWs are also discussed.

Nonlinear properties of electron acoustic wave turbulence in the geomagnetic tail

The nonlinear properties of electron acoustic waves in a magnetized plasma consisting of hot electrons, hot ions, and cold electrons are investigated. Using a fluid-guiding center model for the cold electrons and Boltzmann distributions for the hot species, a set of nonlinear mode-coupling equations is derived. Monopole and dipole-vortex solutions are shown to exist for the system of nonlinear equations. Spectrum cascade by mode-coupling in the electron acoustic wave turbulence is investigated. Relevance of our investigation to broadband electrostatic noise (BEN) in the geomagnetic tail is discussed.