Propagation of solitary waves in relativistic electron-positron-ion plasmas with kappa distributed electrons and positrons

2011 ◽  
Vol 18 (11) ◽  
pp. 114501 ◽  
Author(s):  
Asif Shah ◽  
S. Mahmood ◽  
Q. Haque
Keyword(s):  
Relativistic Electron ◽  
Solitary Waves ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Kappa Distributed Electrons

scholarly journals Propagation of ion-acoustic solitary waves in a relativistic electron-positron-ion plasma

2011 ◽  
Vol 89 (3) ◽  
pp. 299-309 ◽  
Author(s):  
E. Saberian ◽  
A. Esfandyari-Kalejahi ◽  
M. Akbari-Moghanjoughi
Keyword(s):  
Solitary Wave ◽  
Relativistic Electron ◽  
Solitary Waves ◽  
Thermal Energy ◽  
Large Amplitude ◽  
Considerable Effect ◽  
Potential Well ◽  
Electron Positron ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

The propagation of large amplitude ion-acoustic solitary waves (IASWs) in a fully relativistic plasma consisting of cold ions and ultra-relativistic hot electrons and positrons is investigated using the Sagdeev pseudopotential method in a relativistic hydrodynamics model. The effects of streaming speed of the plasma fluid, thermal energy, positron density, and positron temperature on large amplitude IASWs are studied by analysis of the pseudopotential structure. It is found that in regions in which the streaming speed of the plasma fluid is larger than that of the solitary wave, by increasing the streaming speed of the plasma fluid, the depth and width of the potential well increase, resulting in narrower solitons with larger amplitude. This behavior is opposite to the case where the streaming speed of the plasma fluid is less than that of the solitary wave. On the other hand, an increase in the thermal energy results in wider solitons with smaller amplitude, because the depth and width of the potential well decrease in that case. Additionally, the maximum soliton amplitude increases and the width becomes narrower as a result of an increase in positron density. It is shown that varying the positron temperature does not have a considerable effect on the width and amplitude of IASWs. The existence of stationary soliton-like arbitary amplitude waves is also predicted in fully relativistic electron-positron-ion (EPI) plasmas. The effects of streaming speed of the plasma fluid, thermal energy, positron density, and positron temperature on these kinds of solitons are the same for large amplitude IASWs.

Nonlinear electrostatic solitary waves in electron–positron plasmas

2016 ◽  
Vol 82 (1) ◽  
Author(s):  
I. J. Lazarus ◽  
R. Bharuthram ◽  
S. Moolla ◽  
S. V. Singh ◽  
G. S. Lakhina
Keyword(s):  
Solitary Waves ◽  
Laboratory Experiments ◽  
Nonlinear Propagation ◽  
Plasma Parameters ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Fluid Theory ◽  
Temperature Electron ◽  
Propagation Of Waves ◽  
Two Temperature

The generation of nonlinear electrostatic solitary waves (ESWs) is explored in a magnetized four component two-temperature electron–positron plasma. Fluid theory is used to derive a set of nonlinear equations for the ESWs, which propagate obliquely to an external magnetic field. The electric field structures are examined for various plasma parameters and are shown to yield sinusoidal, sawtooth and bipolar waveforms. It is found that an increase in the densities of the electrons and positrons strengthen the nonlinearity while the periodicity and nonlinearity of the wave increases as the cool-to-hot temperature ratio increases. Our results could be useful in understanding nonlinear propagation of waves in astrophysical environments and related laboratory experiments.

Solitary waves in asymmetric electron–positron–ion plasmas

2015 ◽  
Vol 81 (5) ◽  
Author(s):  
Ding Lu ◽  
Zi-Liang Li ◽  
Bai-Song Xie
Keyword(s):  
Solitary Waves ◽  
Ion Concentration ◽  
Temperature Plasma ◽  
Long Wavelength ◽  
Coupled Equations ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Relativistic Temperature ◽  
Temperature Electron ◽  
Wavelength Approximation

By solving the coupled equations of the electromagnetic field and electrostatic potential, we investigate solitary waves in an asymmetric electron–positron plasma and/or electron–positron–ion plasmas with delicate features. It is found that the solutions of the coupled equations can capture multipeak structures of solitary waves in the case of cold plasma, which are left out by using the long-wavelength approximation. By considering the effect of ion motion with respect to non-relativistic and ultra-relativistic temperature plasmas, we find that the ions’ mobility can lead to larger-amplitude solitary waves; especially, this becomes more obvious for a high-temperature plasma. The effects of asymmetric temperature between electrons and positrons and the ion fraction on the solitary waves are also studied and presented. It is shown that the amplitudes of solitary waves decrease with positron temperature in asymmetric temperature electron–positron plasmas and decrease also with ion concentration.

Head-on collision of ion-acoustic solitary waves in a weakly relativistic electron–positron–ion plasma

2008 ◽  
Vol 372 (27-28) ◽  
pp. 4817-4821 ◽  
Author(s):  
Jiu-Ning Han ◽  
Xiao-Xia Yang ◽  
Duo-Xiang Tian ◽  
Wen-Shan Duan
Keyword(s):  
Relativistic Electron ◽  
Solitary Waves ◽  
Ion Plasma ◽  
Electron Positron ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic

scholarly journals Quasi-parallel propagation of solitary waves in magnetised non-relativistic electron–positron plasmas

2020 ◽  
Vol 86 (3) ◽  
Author(s):  
Michael S. Ruderman
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Relativistic Electron ◽  
Solitary Waves ◽  
Nonlinear Waves ◽  
Spatial Variables ◽  
Electron Positron ◽  
Parallel Propagation ◽  
The Stability ◽  
The Waves

We study the propagation of nonlinear waves in non-relativistic electron–positron plasmas. The waves are assumed to propagate at small angles with respect to the equilibrium magnetic field. We derive the equation describing the wave propagation under the assumption that the waves are weakly dispersive and also can weakly depend on spatial variables orthogonal to the equilibrium magnetic field. We obtain solutions of the derived equation describing solitons. Then we study the stability of solitons with respect to transverse perturbations.

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