scholarly journals Solitary Magnetosonic Waves in Relativistic Plasma

1994 ◽  
Vol 47 (6) ◽  
pp. 757
Author(s):  
Joydeep Mukherjee ◽  
A Roy Chowdhury
Keyword(s):  
Mach Number ◽  
Solitary Wave ◽  
Effective Potential ◽  
Relativistic Plasma ◽  
Two Component ◽  
Component Plasma ◽  
Magnetic Filed

We have analysed the formation of solitary magnetosonic waves propagating in a direction perpendicular to the magnetic filed in a relativistic two component plasma. Our approach is that of the effective potential. Variations of the effective potential and the solitary wave in relation to the Mach number and other parameters are discussed.

scholarly journals Effective potential and pressure of two-component plasma at high temperature

2014 ◽  
Vol 5 (2) ◽  
pp. 48-51
Author(s):  
Yu.V. Arkhipov ◽  
◽  
A. Askaruly ◽  
A.E. Davletov ◽  
D. Dubovtsev ◽  
...  
Keyword(s):  
High Temperature ◽  
Effective Potential ◽  
Two Component ◽  
Component Plasma

Stability of an anisotropic relativistic plasma in a magnetic field

1968 ◽  
Vol 2 (2) ◽  
pp. 157-165 ◽  
Author(s):  
J. Skilling
Keyword(s):  
Magnetic Field ◽  
Boltzmann Equation ◽  
Supernova Remnants ◽  
Large Scale ◽  
Cosmic Ray ◽  
Relativistic Plasma ◽  
Relativistic Boltzmann Equation ◽  
Two Component ◽  
Component Plasma ◽  
The Stability

The collisionless relativistic Boltzmann equation is used to investigate the stability of a large-scale two-component plasma containing numerically small anisotropic relativistic populations. Although most permitted waves are stable, Alfvén type waves are found to be unstable whenever the anisotropy exceeds O(v A/c). Growth times are estimated as days for supernova remnants and millennia for cosmic ray protons.

MD-Simulations of the Dynamic Properties of a Nonideal Two-Component Plasma

2001 ◽  
Vol 41 (2-3) ◽  
pp. 271-274 ◽  
Author(s):  
T. Pschiwul ◽  
G. Zwicknagel
Keyword(s):  
Dynamic Properties ◽  
Md Simulations ◽  
Two Component ◽  
Component Plasma

Traveling Wave Solutions of a Two-Component Dullin–Gottwald–Holm System

2016 ◽  
Vol 12 (3) ◽  
Author(s):  
Jiyu Zhong ◽  
Shengfu Deng
Keyword(s):  
Solitary Wave ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Periodic Wave ◽  
Phase Portraits ◽  
Wave System ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Two Component ◽  
Planar Systems

In this paper, we investigate the traveling wave solutions of a two-component Dullin–Gottwald–Holm (DGH) system. By qualitative analysis methods of planar systems, we investigate completely the topological behavior of the solutions of the traveling wave system, which is derived from the two-component Dullin–Gottwald–Holm system, and show the corresponding phase portraits. We prove the topological types of degenerate equilibria by the technique of desingularization. According to the dynamical behaviors of the solutions, we give all the bounded exact traveling wave solutions of the system, including solitary wave solutions, periodic wave solutions, cusp solitary wave solutions, periodic cusp wave solutions, compactonlike wave solutions, and kinklike and antikinklike wave solutions. Furthermore, to verify the correctness of our results, we simulate these bounded wave solutions using the software maple version 18.

scholarly journals Fast-wave heating of a two-component plasma

1975 ◽  
Author(s):  
T.H. Stix
Keyword(s):  
Fast Wave ◽  
Wave Heating ◽  
Two Component ◽  
Component Plasma

Counter differential rigid-rotation equilibrium of electrically non-neutral two-fluid plasma with finite pressure

2021 ◽  
Vol 87 (4) ◽  
Author(s):  
Y. Nakajima ◽  
H. Himura ◽  
A. Sanpei
Keyword(s):  
Ion Plasma ◽  
Counter Rotation ◽  
Fluid Velocities ◽  
Two Component ◽  
Component Plasma ◽  
Ion Cloud ◽  
Diamagnetic Drift ◽  
First Time ◽  
Two Fluid ◽  
Two Fluid Plasma

We derive the two-dimensional counter-differential rotation equilibria of two-component plasmas, composed of both ion and electron ( $e^-$ ) clouds with finite temperatures, for the first time. In the equilibrium found in this study, as the density of the $e^{-}$ cloud is always larger than that of the ion cloud, the entire system is a type of non-neutral plasma. Consequently, a bell-shaped negative potential well is formed in the two-component plasma. The self-electric field is also non-uniform along the $r$ -axis. Moreover, the radii of the ion and $e^{-}$ plasmas are different. Nonetheless, the pure ion as well as $e^{-}$ plasmas exhibit corresponding rigid rotations around the plasma axis with different fluid velocities, as in a two-fluid plasma. Furthermore, the $e^{-}$ plasma rotates in the same direction as that of $\boldsymbol {E \times B}$ , whereas the ion plasma counter-rotates overall. This counter-rotation is attributed to the contribution of the diamagnetic drift of the ion plasma because of its finite pressure.

Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models

2020 ◽  
Vol 30 (03) ◽  
pp. 2050036 ◽  
Author(s):  
Jibin Li ◽  
Guanrong Chen ◽  
Jie Song
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Traveling Wave ◽  
Water Wave ◽  
Wave System ◽  
Solitary Wave Solutions ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Two Component ◽  
Wave Models

For three two-component shallow water wave models, from the approach of dynamical systems and the singular traveling wave theory developed in [Li & Chen, 2007], under different parameter conditions, all possible bounded solutions (solitary wave solutions, pseudo-peakons, periodic peakons, as well as smooth periodic wave solutions) are derived. More than 19 explicit exact parametric representations are obtained. Of more interest is that, for the integrable two-component generalization of the Camassa–Holm equation, it is found that its [Formula: see text]-traveling wave system has a family of pseudo-peakon wave solutions. In addition, its [Formula: see text]-traveling wave system has two families of uncountably infinitely many solitary wave solutions. The new results complete a recent study by Dutykh and Ionescu-Kruse [2016].

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