Electron acoustic rogue waves in Earth's magnetosphere (original) (raw)
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Advances in Space Research, 2014
The properties of nonlinear electron-acoustic rogue waves have been investigated in an unmagnetized collisionless four-component plasma system consisting of a cold electron fluid, non-thermal hot electrons obeying a non-thermal distribution, an electron beam and stationary ions. It is found that the basic set of fluid equations is reduced to a nonlinear Schrodinger equation. The dependence of rogue wave profiles on the electron beam and energetic population parameter are discussed. The results of the present investigation may be applicable in auroral zone plasma.
Effect of electron beam on the properties of electron-acoustic rogue waves
Journal of Plasma Physics, 2014
The properties of nonlinear electron-acoustic rogue waves have been investigated in an unmagnetized collisionless four-component plasma system consisting of a cold electron fluid, Maxwellian hot electrons, an electron beam and stationary ions. It is found that the basic set of fluid equations is reduced to a nonlinear Schrodinger equation. The dependence of rogue wave profiles and the associated electric field on the carrier wave number, normalized density of hot electron and electron beam, relative cold electron temperature and relative beam temperature are discussed. The results of the present investigation may be applicable in auroral zone plasma.
Astrophysics and Space Science
Ion-acoustic rogue waves (IARWs) are addressed in a two-component plasma with a q-nonextensive electron velocity distribution. A weakly nonlinear analysis is carried out to derive a Korteweg-de Vries (K-dV) equation with a particular emphasis on its application to the IARWs. This K-dV equation is transformed to a nonlinear Schrödinger equation, provided that the frequency of the carrier wave is much smaller than the ion plasma frequency. Interestingly, it is found that the IARWs may be drastically affected by electron nonextensivity depending on whether the entropic index q is positive or negative. In view of the crucial impor-tance of RWs in space environments, our results should be useful in understanding the basic features of the nonexten-sive IARGs that may occur in space plasmas.
Nonlinear behavior of electron acoustic waves in an un-magnetized plasma
Physics of Plasmas, 2011
The nonlinear electron acoustic wave, which is found in the earth's magnetosphere by satellite observations, is studied analytically by Lagrangian fluid description. The basic linear mode is observed in a two temperature electron species plasma where ions form stationary charge neutral background. We have obtained nonlinear description of this mode, which depends on both time and space. A possible solution shows a soliton like structure, which is localized in space, and the amplitude increases with time in the absence of dispersion. Small dispersive correction, however, shows spread of the solution in space. This method can be generalized to study the nonlinear behavior of a general class of multispecies plasma. V
Three-Dimensional Rogue Waves in Earth’s Ionosphere
Galaxies
The modulational instability of ion-acoustic waves (IAWs) in a four-component magneto-plasma system consisting of positive–negative ions fluids and non-Maxwellian (r,q) distributed electrons and positrons, is investigated. The basic system of fluid equations is reduced to a three-dimensional (3D) nonlinear Schrödinger Equation (NLS). The domains of the IAWs stability are determined and are found to be strongly affected by electrons and positrons spectral parameters r and q and temperature ratio Tp/Te (Tp and Te are positrons and electrons temperatures, respectively). The existence domains, where we can observe the ion-acoustic rogue waves (IARWs) are determined. The basic features of IARWs are analyzed numerically against the distribution parameters and the other system physical parameters as Tp/Te and the external magnetic field strength. Moreover, a comparison between the first- and second-order rogue waves solution is presented. Our results show that the nonlinearity of the syste...
Electron acoustic nonlinear structures in planetary magnetospheres
Physics of Plasmas, 2018
In this paper, we have studied linear and nonlinear propagation of electron acoustic waves (EAWs) comprising cold and hot populations in which the ions form the neutralizing background. The hot electrons have been assumed to follow the generalized ðr; qÞ distribution which has the advantage that it mimics most of the distribution functions observed in space plasmas. Interestingly, it has been found that unlike Maxwellian and kappa distributions, the electron acoustic waves admit not only rarefactive structures but also allow the formation of compressive solitary structures for generalized ðr; qÞ distribution. It has been found that the flatness parameter r, tail parameter q, and the nonlinear propagation velocity u affect the propagation characteristics of nonlinear EAWs. Using the plasmas parameters, typically found in Saturn's magnetosphere and the Earth's auroral region, where two populations of electrons and electron acoustic solitary waves (EASWs) have been observed, we have given an estimate of the scale lengths over which these nonlinear waves are expected to form and how the size of these structures would vary with the change in the shape of the distribution function and with the change of the plasma parameters.
Annals of Physics, 2012
The nonlinear propagation of planar and nonplanar (cylindrical and spherical) ion-acoustic waves in an unmagnetized electron-positron-ion-dust plasma with two-electron temperature distributions is investigated in the context of the nonextensive statistics. Using the reductive perturbation method, a modified nonlinear Schrödinger equation is derived for the potential wave amplitude. The effects of plasma parameters on the modulational instability of ion-acoustic waves are discussed in detail for planar as well as for cylindrical and spherical geometries. In addition, for the planar case, we analyze how the plasma parameters influence the nonlinear structures of the first-and second-order ionacoustic rogue waves within the modulational instability region. The present results may be helpful in providing a good fit between the theoretical analysis and real applications in future spatial observations and laboratory plasma experiments.
Small amplitude nonlinear electron acoustic solitary waves in weakly magnetized plasma
Physics of Plasmas, 2013
Nonlinear electron acoustic waves are studied in a quasineutral plasma in the presence of a variable magnetic field. The fluid model is used to describe the dynamics of two temperature electron species in a stationary positively charged ion background. Linear analysis of the governing equations manifests dispersion relation of electron magneto sonic wave. Whereas, nonlinear wave dynamics is being investigated by introducing Lagrangian variable method in long wavelength limit. It is shown from finite amplitude analysis that the nonlinear wave characteristics are well depicted by KdV equation. The wave dispersion arising in quasineutral plasma is induced by transverse magnetic field component. The results are discussed in the context of plasma of Earth's magnetosphere. V C 2013 AIP Publishing LLC. [http://dx.
2007
The nonlinear properties of solitary waves structure in a strongly magnetized plasma consisting of cold electron fluid, hot electrons obeying trapped/vortex-like distribution, warm electron beam, and stationary ions, are investigated. Applying a reductive perturbation theory (RPT), a nonlinear modified Korteweg-de Vries (mKdV) equation and a linear inhomogeneous mKdV-type equation are derived. The stationary solutions of these coupled equations are obtained using a renormalization method. However, both of the mKdV-and mKdV-type solutions present a positive potential, that corresponds to a hole (hump) in the cold (hot) electron number density. The dependence of the wave amplitude, width and velocity on the system parameters is investigated. The application of our results in interpreting the salient features of the broadband electrostatic noise (BEN) in the dayside auroral zone of the Earth's magnetosphere is discussed.
Theoretical investigations for generation of rogue waves in plasma system have been done; We studied the behavior of the nonlinear rogue waves in Jupiter as result of interaction of streaming relativistic electron beam with three components dusty plasma composed of positive dust grains, as well as Maxwellian electrons and positive ions. The most typical nonlinear equation to describe the propagation of rogue wave is the nonlinear Schrodenger equation so it has been calculated. The interaction of a relativistic electron beam with the plasma system can introduce new modes and instability.