Time-fractional study of electron acoustic solitary waves in plasma of cold electron and two isothermal ions

2012 ◽  
Vol 78 (6) ◽  
pp. 641-649 ◽  
Author(s):  
S. A. EL-WAKIL ◽  
ESSAM M. ABULWAFA ◽  
EMAD K. EL-SHEWY ◽  
ABEER A. MAHMOUD
Keyword(s):  
High Temperature ◽  
Collisionless Plasma ◽  
Variational Iteration Method ◽  
Homogeneous System ◽  
Cold Electron ◽  
Type Distribution ◽  
Thermal Distribution ◽  
Noise Type ◽  
Solitary Pulse ◽  
Electron Acoustic

AbstractIn this paper, a homogeneous system of unmagnetized collisionless plasma consisting of a cold electron fluid, low-temperature ion obeying Boltzmann-type distribution and high-temperature ion obeying non-thermal distribution is considered. The perturbation method with two different forms of stretching will be considered to drive the KdV and modified KdV (mKdV) equations. The Agrawal's method is applied to formulate the time-fractional KdV and mKdV equations. A variational iteration method is used to solve these equations. The results show that the fractional order of the differential equations can be used to modify the shape of the solitary pulse instead of adding higher order dissipation terms to the equations. This study may be useful to construct the compressive and rarefactive electrostatic potential pulses associated with the broadband electrostatic noise type emissions.

scholarly journals Nonlinear Electron Acoustic Waves in Dissipative Plasma with Superthermal Electrons

2016 ◽  
Vol 8 (1) ◽  
pp. 64 ◽  
Author(s):  
A. M. El-Hanbaly ◽  
E. K. El-Shewy ◽  
A. I. Kassem ◽  
H. F. Darweesh
Keyword(s):  
Shock Waves ◽  
Acoustic Waves ◽  
Inertial Confinement Fusion ◽  
Collisionless Plasma ◽  
Homogeneous System ◽  
Travelling Wave ◽  
Reductive Perturbation Method ◽  
Inertial Confinement ◽  
Plasma Parameters ◽  
Electron Acoustic

The nonlinear properties of small amplitude electron-acoustic ( EA) solitary and shock waves in a homogeneous system of unmagnetized collisionless plasma consisted of a cold electron fluid and superthermal hot electrons obeying superthermal distribution, and stationary ions have been investigated. A reductive perturbation method was employed to obtain the Kadomstev-Petviashvili-Burgers (KP-Brugers) equation. Some solutions of physical interest are obtained. These solutions are related to soliton, monotonic and oscillatory shock waves and their behaviour are shown graphically. The formation of these solutions depends crucially on the value of the Burgers term and the plasma parameters as well. By using the tangent hyperbolic (tanh) method, another interesting type of solution which is a combination between shock and soliton waves is obtained . The topology of phase portrait and potential diagram of the KP-Brugers equation is investigated.The advantage of using this method is that one can predict different classes of the travelling wave solutions according to different phase orbits. The obtained results may be helpful in better understanding of waves propagation in various space plasma environments as well as in inertial confinement fusion laboratory plasmas.

scholarly journals Electron acoustic solitons in the Earth's magnetotail

2004 ◽  
Vol 11 (2) ◽  
pp. 215-218 ◽  
Author(s):  
S. G. Tagare ◽  
S. V. Singh ◽  
R. V. Reddy ◽  
G. S. Lakhina
Keyword(s):  
Electron Beam ◽  
Small Amplitude ◽  
Low Frequency ◽  
Frequency Component ◽  
Magnetized Plasma ◽  
Cold Electron ◽  
Ion Plasma ◽  
Electron Acoustic ◽  
Two Temperature ◽  
Perpendicular Polarization

Abstract. Small amplitude electron - acoustic solitons are studied in a magnetized plasma consisting of two types of electrons, namely cold electron beam and background plasma electrons and two temperature ion plasma. The analysis predicts rarefactive solitons. The model may provide a possible explanation for the perpendicular polarization of the low-frequency component of the broadband electrostatic noise observed in the Earth's magnetotail.

PLT reaches high temperature in a collisionless plasma

Physics Today ◽  
1978 ◽  
Vol 31 (11) ◽  
pp. 17-20
Author(s):  
Gloria B. Lubkin
Keyword(s):  
High Temperature ◽  
Collisionless Plasma

scholarly journals Observational support for the electron mirror mode: AMPTE-IRM and Equator-S measurements in the magnetosheath

2018 ◽  
Author(s):  
Rudolf A. Treumann ◽  
Wolfgang Baumjohann
Keyword(s):  
High Temperature ◽  
Collisionless Plasma ◽  
Recent Theory ◽  
Dayside Magnetopause ◽  
Mirror Mode

Abstract. Based on AMPTE-IRM and Equator-S observations in the magnetosheath near the dayside magnetopause, we provide observational support for a recent theory by Noreen et al. (2017) of the contribution of the electron mirror instability to the evolution of mirror modes in the high-temperature anisotropic collisionless plasma of the magnetosheath.

High-temperature processable carbon–silicate nanocomposite cold electron cathodes for miniature X-ray sources

2013 ◽  
Vol 1 (7) ◽  
pp. 1368 ◽  
Author(s):  
Rémi Longtin ◽  
Hans-Rudolf Elsener ◽  
Juan Ramon Sanchez-Valencia ◽  
Dominique Cloetta ◽  
Lars-Ola Nilsson ◽  
...  
Keyword(s):  
High Temperature ◽  
Cold Electron ◽  
X Ray

Dust acoustic shock waves in dusty plasma of opposite polarity with non-extensive electron and ion distributions

2014 ◽  
Vol 80 (3) ◽  
pp. 517-528 ◽  
Author(s):  
S. K. Zaghbeer ◽  
H. H. Salah ◽  
N. H. Sheta ◽  
E. K. El-Shewy ◽  
A. Elgarayhi
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Collisionless Plasma ◽  
Homogeneous System ◽  
Opposite Polarity ◽  
Reductive Perturbation Method ◽  
Ion Distributions ◽  
Electrons And Ions ◽  
Dust Acoustic ◽  
Space Environments

A theoretical investigation has been made of obliquely propagating nonlinear electrostatic shock structures. The reductive perturbation method has been used to derive the Korteweg-de Vries-Burger (KdV-Burger) equation for dust acoustic shock waves in a homogeneous system of a magnetized collisionless plasma comprising a four-component dusty plasma with massive, micron-sized, positively, negatively dust grains and non-extensive electrons and ions. The effect of dust viscosity coefficients of charged dusty plasma of opposite polarity and the non-extensive parameters of electrons and ions have been studied. The behavior of the oscillatory and monotonic shock waves in dusty plasma has been investigated. It has been found that the presence of non-extensive parameters significantly modified the basic properties of shock structures in space environments.

Linear and nonlinear modified electron-acoustic waves

1983 ◽  
Vol 29 (3) ◽  
pp. 409-413 ◽  
Author(s):  
M. Y. Yu ◽  
P. K. Shukla
Keyword(s):  
Acoustic Wave ◽  
Acoustic Waves ◽  
Electron Number Density ◽  
Cold Electron ◽  
Number Density ◽  
Electron Number ◽  
Electron Acoustic Waves ◽  
Electron Acoustic Wave ◽  
Linear And Nonlinear ◽  
Electron Acoustic

It is shown that a modified electron-acoustic wave exists in a plasma with distinct hot and cold electron components. The frequency of this wave depends strongly on the cold electron number density. Solitons associated with the modified electron-acoustic waves are also discussed.

A Marco-Homogenous and Micro-Heterogeneous Model for Self-Propagating High Temperature Synthesis (SHS)

2005 ◽  
Vol 475-479 ◽  
pp. 3259-3262 ◽  
Author(s):  
Jin Yong Zhang ◽  
Zheng Yi Fu ◽  
Wei Min Wang ◽  
Qing Jie Zhang
Keyword(s):  
High Temperature ◽  
Homogeneous Model ◽  
Homogeneous System ◽  
Small Particles ◽  
Temperature Synthesis ◽  
Heterogeneous Model ◽  
Combustion Dynamics ◽  
High Temperature Synthesis ◽  
Combustion Behaviors

Recently research shows that heterogeneous model is needed to explain some complex combustion behaviors in SHS. However, more heterogeneous details be considered more difficulties will be faced. A micro-heterogeneous & macro-homogeneous model is proposed in this paper based on some previous works for this problem. Combustion compact is divided into lots of little units, which are composed of a large number of small particles. Considering a well-mixed situation, properties of every unit must be almost the same, so the compact can be treated as a macro-homogeneous system on the scale of these little units. During the combustion, every unit will have a heterogeneous properties and change; it can be gotten by a micro-heterogeneous model. Therefore, the micro-heterogeneous characters are connected with the Marco-combustion behaviors. Combustion dynamics of Ti-C-Fe system was studied to certify this model. Results show well consistency with experiments results.

Sign in / Sign up

Export Citation Format

Share Document