Ion-acoustic shock waves in nonextensive electron-positron-ion plasma (original) (raw)
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Ion-Acoustic Shock Waves in Nonextensive Multi-Ion Plasmas
Communications in Theoretical Physics, 2015
The nonlinear propagation of ion-acoustic (IA) shock waves (SHWs) in a nonextensive multi-ion plasma system (consisting of inertial positive light ions as well as negative heavy ions, noninertial nonextensive electrons and positrons) has been studied. The reductive perturbation technique has been employed to derive the Burgers equation. The basic properties (polarity, amplitude, width, etc.) of the IA SHWs are found to be significantly modified by the effects of nonextensivity of electrons and positrons, ion kinematic viscosity, temperature ratio of electrons and positrons, etc. It has been observed that SHWs with positive and negative potential are formed depending on the plasma parameters. The findings of our results obtained from this theoretical investigation may be useful in understanding the characteristics of IA SHWs both in laboratory and space plasmas.
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Nonplanar Ion-acoustic Shock Waves in a Multi-ion Plasma with Nonextensive Electrons and Positrons
Journal of the Korean Physical Society, 2015
The basic features of ion-acoustic shock waves (IASHWs) in a multi-ion nonextensive plasma (containing positive light ions, negative heavy ions, as well as nonextensive electrons and positrons) have been rigorously investigated in a nonplanar geometry. The standard reductive perturbation method has been employed to derive the Modified Burgers (MB) equation. The combined effects of the electron and positron nonextensivity, and the ion kinematic viscosity significantly have been found to modify the basic properties of these electrostatic shock structures. The properties of the cylindrical and the spherical IASHWs are observed to differ significantly from those of one-dimensional planar waves. The findings obtained from this theoretical investigation may be useful in understanding the characteristics of IASHWs both in space and laboratory plasmas.
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Dust-ion-acoustic shock waves in nonextensive dusty multi-ion plasmas
The European Physical Journal Plus, 2015
A theoretical and numerical analysis of dust-ion-acoustic (DIA) shock waves has been carried out in an unmagnetized dusty multi-ion plasma containing nonextensive electrons, inertial negatively charged heavy ions, positively charged Maxwellian light ions, and negatively charged stationary dusts. The normal mode analysis is used to examine the linear properties of DIA waves (DIAWs). The reductive perturbation technique is employed in order to derive the nonlinear time evolution Burgers type equation (which describes the shock waves properties). The basic features (viz. polarity, amplitude, width, etc.) of the DIA shock waves are investigated. It is found that the basic features of DIA shock waves are significantly modified depending on the intrinsic parameters (viz. electron nonextensivity, heavy ions kinematic viscosity, heavy-to-light ion number density ratio, electron-to-light ion temperature ratio, etc.) of the considered plasma system. Both polarities (positive and negative potential) are also found to exist in the plasma under consideration in this paper. The findings of this investigation may be used in understanding the wave propagation in laboratory and space plasmas.
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Journal of the Korean Physical Society, 2015
A rigorous theoretical investigation has been carried out on the propagation of nonplanar (cylindrical and spherical) dust-ion-acoustic (DIA) waves in an unmagnetized dusty multi-ion plasma system containing nonextensive electrons, inertial negatively-charged heavy ions, positively-charged Maxwellian light ions, and negatively-charged stationary dust. The well-known reductive perturbation technique has been used to derive the modified Burgers-type equation (which describes the shock wave's properties), and its numerical solution is obtained. The basic features (viz. polarity, amplitude, width, etc.) of the cylindrical and the spherical DIA shock waves are investigated. The basic features of the cylindrical and the spherical DIA shock waves are found to have been significantly modified in a way that depends on the intrinsic parameters (viz. electron nonextensivity, heavy-ion's kinematic viscosity, heavy-to-light-ion number density ratio, electron-to-light-ion temperature ratio, etc.) of the considered plasma system. The characteristics of the cylindrical and the spherical DIA shock waves are observed to be qualitatively different from those of planar ones.
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Ion-Acoustic Gardner Solitons in a Four-Component Nonextensive Multi-Ion Plasma
Plasma Physics Reports, 2016
—The nonlinear propagation of ion-acoustic (IA) solitary waves (SWs) in a four-component non-extensive multi-ion plasma system containing inertial positively charged light ions, negatively charged heavy ions, as well as noninertial nonextensive electrons and positrons has been theoretically investigated. The reductive perturbation method has been employed to derive the nonlinear equations, namely, Korteweg−de Vries (KdV), modified KdV (mKdV), and Gardner equations. The basic features (viz. polarity, amplitude, width, etc.) of Gardner solitons are found to exist beyond the KdV limit and these IA Gardner solitons are qualitatively different from the KdV and mKdV solitons. It is observed that the basic features of IA SWs are modified by various plasma parameters (viz. electron and positron nonextensivity, electron number density to ion number density, and electron temperature to positron temperature, etc.) of the considered plasma system. The results obtained from this theoretical investigation may be useful in understanding the basic features of IA SWs propagating in both space and laboratory plasmas.
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GARDNER SOLITONS IN ELECTRON-POSITRON-ION PLAMSA FEATURING CAIRNS-TSALLIS ELECTRONS
Transstellar, 2019
In the present study, the effects of non-thermal and nonextensive distribution of electrons on the soliton propagation in plasma system containing Boltzmann positrons have been studied. Using Reductive Perturbation method, Korteweg-de Vries (K-dV), modified K-dV (mK-dV) and Gardner equations are derived for electron-positron-ion (e-p-i) plasma system. The soliton solution of the Gardner equation is discussed in detail. Results have been interpreted in the form of graphs. It is found that for a given set of parameters, there exists a critical value of q (i.e, qc) below which only rarefactive K-dV solitons exist and above it compressive K-dV solitons exist. However, both positive and negative mK-dV and Gardner potential structures exist at the critical value of nonextensivity. The present investigation may help us to understand the electrostatic perturbations in laboratory and space plasmas.
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Dust-acoustic shock waves in an electron depleted nonextensive dusty plasma
Astrophysics and Space Science, 2015
A theoretical study of dust-acoustic (DA) shock waves has been carried out in an unmagnetized electron depleted dusty plasma containing inertial negatively charged dust grains and nonextensive positively charged ions. The normal mode analysis is used to examine the linear properties of DA waves. The reductive perturbation technique is employed in order to derive the nonlinear Burgers equation. The basic features (viz. polarity, amplitude, width, etc.) of the DA shock waves are investigated. Both polarity (positive and negative potential) shock waves are found to exists in the plasma under consideration in this manuscript. The findings of this investigation may be used in understanding the wave propagation in laboratory and space plasmas.
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Electrostatic shock structures in nonextensive plasma with two distinct temperature electrons
Brazilian Journal of Physics, 2015
The nonlinear dynamics of the dust-acoustic shock waves in a dusty plasma containing negatively charged mobile dust, nonextensive electrons with two distinct temperatures, and Maxwellian ions have been investigated by deriving the Burgers equation. The normal mode analysis is used to examine the linear properties of dust-acoustic (DA) waves. It has been observed that the properties of the DA shock waves (SHWs) are significantly modified by nonextensivity of the electrons, electron temperature-ratios, and the respective number densities of two species of electrons. A critical value of nonextensivity is found for which shock structures transit from positive to negative potential. The shock waves with positive and negative potential are obtained depending on the plasma parameters. The entailments of our results may be useful to understand the structures and the characteristics of DASHWs both in laboratory and astrophysical plasma system.
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