Oblique Propagation of Electrostatic Waves in a Magnetized Electron-Positron-Ion Plasma in the Presence of Heavy Particles

2018 ◽  
Vol 73 (6) ◽  
pp. 501-509 ◽  
Author(s):  
M. Sarker ◽  
M. R. Hossen ◽  
M. G. Shah ◽  
B. Hosen ◽  
A. A. Mamun
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Solitary Wave Solution ◽  
Heavy Ion ◽  
Nonlinear Propagation ◽  
Heavy Particles ◽  
Ion Plasma ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Basic Features

AbstractA theoretical investigation is carried out to understand the basic features of nonlinear propagation of heavy ion-acoustic (HIA) waves subjected to an external magnetic field in an electron-positron-ion plasma that consists of cold magnetized positively charged heavy ion fluids and superthermal distributed electrons and positrons. In the nonlinear regime, the Korteweg-de Vries (K-dV) and modified K-dV (mK-dV) equations describing the propagation of HIA waves are derived. The latter admits a solitary wave solution with both positive and negative potentials (for K-dV equation) and only positive potential (for mK-dV equation) in the weak amplitude limit. It is observed that the effects of external magnetic field (obliqueness), superthermal electrons and positrons, different plasma species concentration, heavy ion dynamics, and temperature ratio significantly modify the basic features of HIA solitary waves. The application of the results in a magnetized EPI plasma, which occurs in many astrophysical objects (e.g. pulsars, cluster explosions, and active galactic nuclei) is briefly discussed.

scholarly journals Equilibrium electric current of massive electrons with anomalous magnetic moments induced by a magnetic field and the electroweak interaction with matter

2018 ◽  
Vol 33 (26) ◽  
pp. 1850154 ◽  
Author(s):  
Maxim Dvornikov
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
External Magnetic Field ◽  
Electric Current ◽  
Magnetic Moments ◽  
Electroweak Interaction ◽  
External Fields ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
A Current

We study the possibility of the existence of the electric current, formed by massive electrons and positrons, flowing along an external magnetic field. The charged fermions are supposed to have nonzero anomalous magnetic moments and electroweakly interact with background matter. The expression for the current is obtained on the basis of the exact solution of the Dirac equation in the corresponding external fields. We demonstrate that, in the state of equilibrium, such a current is vanishing for any characteristics of the electron–positron plasma as well as the external fields. Our results are compared with the recent findings of other authors.

Non-planar ion acoustic Gardner solitons in electron-positron-ion plasma with superthermal electrons and positrons

2012 ◽  
Vol 79 (1) ◽  
pp. 37-44 ◽  
Author(s):  
DEB KUMAR GHOSH ◽  
UDAY NARAYAN GHOSH ◽  
PRASANTA CHATTERJEE
Keyword(s):  
Reductive Perturbation Method ◽  
Superthermal Electrons ◽  
Ion Plasma ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Basic Features ◽  
Superthermal Electrons And Positrons ◽  
Gardner Solitons

AbstractThe properties of non-planar (cylindrical and spherical) ion acoustic solitary waves (IASWs) in an unmagnetized collisionless electron-positron-ion (e-p-i) plasma, whose constituents are inertial ions and superthermal/non-Maxwellian electrons and positrons (represented by the kappa (κ) distribution), are investigated by deriving the modified Gardner (MG) equation. The well-known reductive perturbation method is employed to derive the MG equation. The basic features of non-planar IA Gardner solitons (GSs) are discussed. It is seen that the properties of non-planar IAGSs (positive and negative) differ significantly as the value of spectral index kappa changes.

Magnetic and temperature effects on the energy loss rate of test ions

1983 ◽  
Vol 29 (1) ◽  
pp. 131-137 ◽  
Author(s):  
M. H. A. Hassan ◽  
P. H. Sakanaka
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Energy Loss ◽  
Temperature Effects ◽  
Loss Rate ◽  
Temperature Ratio ◽  
Injection Angle ◽  
Energy Loss Rate ◽  
Ion Plasma ◽  
The Magnetic Field

The energy loss rate, Ė, of test ions injected with velocity V into a Maxwellian electron-ion plasma in the presence of an external magnetic field, is studied. Most of the integrals appearing in the expression for Ė are evaluated analytically and the remaining integrals are evaluated numerically for various values of the parameters η = Ωe / ωe, x = V/ve, r = Te/Ti, and the angle of injection θ. It is shown that the effect of the magnetic field is rather small except for η > 1, the temperature ratio is important for small x (x ≤ 0·2), and the injection angle is not important.

scholarly journals Beltrami fields in a hot electron–positron–ion plasma

2012 ◽  
Vol 78 (3) ◽  
pp. 207-210 ◽  
Author(s):  
M. IQBAL ◽  
P. K. SHUKLA
Keyword(s):  
Magnetic Field ◽  
Plasma Flow ◽  
Strong Interaction ◽  
Field Configuration ◽  
Hot Electron ◽  
Magnetic Field Configuration ◽  
Beltrami Fields ◽  
Ion Plasma ◽  
Electron Positron ◽  
Laboratory Plasmas

AbstractA possibility of relaxation of relativistically hot electron and positron (e − p) plasma with a small fraction of hot or cold ions has been investigated analytically. It is observed that a strong interaction of plasma flow and field leads to a non-force-free relaxed magnetic field configuration governed by the triple curl Beltrami (TCB) equation. The triple curl Beltrami (TCB) field composed of three different Beltrami fields gives rise to three multiscale relaxed structures. The results may have the strong relevance to some astrophysical and laboratory plasmas.

scholarly journals Ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 563-567 ◽  
Author(s):  
Jianyong Wang ◽  
Ying Zeng ◽  
Zufeng Liang ◽  
Yani Xu ◽  
Yuanxiang Zhang
Keyword(s):  
Acoustic Waves ◽  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Superthermal Electrons ◽  
Ion Plasma ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Ion Acoustic ◽  
De Vries ◽  
Superthermal Electrons And Positrons

Abstract In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing equations of ion acoustic waves. An interesting soliton-cnoidal wave solution of the Korteweg-de Vries equation and its quasi-soliton behaviour are presented. The influence of electron superthermality, positron superthermality and positron concentration ratio on characteristics of the quasi-soliton is confirmed to be significant.

Surface waves in magnetized quantum electron-positron plasmas

2009 ◽  
Vol 76 (1) ◽  
pp. 87-99 ◽  
Author(s):  
A.P. MISRA ◽  
N.K. GHOSH ◽  
P.K. SHUKLA
Keyword(s):  
Magnetic Field ◽  
Surface Waves ◽  
Boundary Surface ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Quantum Electron ◽  
Special Cases ◽  
General Dispersion ◽  
Singular Wave ◽  
The Magnetic Field

AbstractThe dispersion properties of electrostatic surface waves propagating along the interface between a quantum magnetoplasma composed of electrons and positrons, and vacuum are studied by using a quantum magnetohydrodynamic plasma model. The general dispersion relation for arbitrary orientation of the magnetic field and the propagation vector is derived and analyzed in some special cases of interest (viz. when the magnetic field is directed parallel and perpendicular to the boundary surface). It is found that the quantum effects facilitate the propagation of electrostatic surface modes in a dense magnetoplasma. The effect of the external magnetic field is found to increase the frequency of the quantum surface wave. The existence of a singular wave on the boundary surface is also proved, and its properties are analyzed numerically. It is shown that the new wave characteristics appear due to the Rayleigh type of the wave.

Semiclassical relativistic fluid theory for electrostatic envelope modes in dense electron–positron–ion plasmas: Modulational instability and rogue waves

2013 ◽  
Vol 79 (6) ◽  
pp. 1089-1094 ◽  
Author(s):  
IOANNIS KOURAKIS ◽  
MICHAEL MC KERR ◽  
ATA UR-RAHMAN
Keyword(s):  
Fluid Model ◽  
Modulational Instability ◽  
Rogue Waves ◽  
Relativistic Electrons ◽  
Relativistic Fluid ◽  
Ion Plasma ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Perturbative Method ◽  
Fluid Theory

AbstractA fluid model is used to describe the propagation of envelope structures in an ion plasma under the influence of the action of weakly relativistic electrons and positrons. A multiscale perturbative method is used to derive a nonlinear Schrödinger equation for the envelope amplitude. Criteria for modulational instability, which occurs for small values of the carrier wavenumber (long carrier wavelengths), are derived. The occurrence of rogue waves is briefly discussed.

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.

Stationary waves in a bi-ion plasma transverse to the magnetic field

2001 ◽  
Vol 65 (3) ◽  
pp. 197-212 ◽  
Author(s):  
J. F. McKENZIE ◽  
K. SAUER ◽  
E. DUBININ
Keyword(s):  
Magnetic Field ◽  
Flow Direction ◽  
Heavy Ion ◽  
Mirror Image ◽  
Structure Equation ◽  
Stationary Waves ◽  
Initial Portion ◽  
Charge Neutrality ◽  
Ion Plasma ◽  
The Magnetic Field

We investigate the nature of stationary structures streaming at subfast magnetosonic speeds perpendicular to the magnetic field in a bi-ion plasma consisting of protons and a heavy ion species in which the magnetic field is frozen into the electrons, whose inertia may be neglected. The study is based on the properties of the structure equation for the system, which is derived from the equations of motion and the Maxwell equations, and therefore reflects the coupling between the two ion fluids and the electrons through the Lorentz forces and charge neutrality. The basic features of the structure equation are elucidated by making use of conservation of total momentum and charge neutrality, which provide relations between the ion speeds in the unperturbed flow direction and the electron speed. This combination of relations, which we call the momentum hodograph of the system, reveals the structure of the flow and the magnetic field in a solitary-type pulse. In particular, we find that in the initial portion of a compressive soliton, heavy ions run ahead of the electrons and the protons lag between them until a point is reached where they all once more attain the same speed, after which the protons run ahead and are accelerated whereas the heavies now lag behind the continuously decelerating electrons. The second half of the wave is a mirror image of the first portion. The strength of the compression (the amplitude of the wave) is determined from the momentum hodograph, and depends upon the initial Mach number, abundance ratio of heavies to protons and the mass ratio. The analysis is relevant to subfast flows of mass-loaded plasmas and pile-up boundaries, which appear near comets and non-magnetic planets.

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