scholarly journals Collision-less shocks and solitons in dense laser-produced Fermi plasma

2020 ◽  
Vol 38 (1) ◽  
pp. 25-38
Author(s):  
J. Goswami ◽  
S. Chandra ◽  
J. Sarkar ◽  
S. Chaudhuri ◽  
B. Ghosh
Keyword(s):  
Acoustic Waves ◽  
Perturbation Technique ◽  
Reductive Perturbation Method ◽  
Viscous Force ◽  
Quantum Plasma ◽  
Linear Dispersion ◽  
Laser Plasma Interaction ◽  
Reductive Perturbation ◽  
Solitary Structures ◽  
Electron Acoustic

AbstractThe theoretical investigation of shocks and solitary structures in a dense quantum plasma containing electrons at finite temperature, nondegenerate cold electrons, and stationary ions has been carried out. A linear dispersion relation is derived for the corresponding electron acoustic waves. The solitary structures of small nonlinearity have been studied by using the standard reductive perturbation method. We have considered collisions to be absent, and the shocks arise out of viscous force. Furthermore, with the help of a standard reductive perturbation technique, a KdV–Burger equation has been derived and analyzed numerically. Under limiting cases, we have also obtained the KdV solitary profiles and studied the parametric dependence. The results are important in explaining the many phenomena of the laser–plasma interaction of dense plasma showing quantum effects.

Evolution of nonlinear stationary formations in a quantum plasma at finite temperature

2021 ◽  
Vol 76 (4) ◽  
pp. 329-347
Author(s):  
Swarniv Chandra ◽  
Chinmay Das ◽  
Jit Sarkar
Keyword(s):  
Finite Temperature ◽  
Acoustic Waves ◽  
Quantum Plasma ◽  
Quantum Hydrodynamics ◽  
Stationary Structure ◽  
Gradual Evolution ◽  
Layer Structures ◽  
Model Equations ◽  
Electron Acoustic ◽  
Shock Fronts

Abstract In this paper we have studied the gradual evolution of stationary formations in electron acoustic waves at a finite temperature quantum plasma. We have made use of Quantum hydrodynamics model equations and obtained the KdV-Burgers equation. From here we showed how the amplitude modulated solitons evolve from double layer structures through shock fronts and ultimately converging into solitary structures. We have studied the various parametric influences on such stationary structure and also showed how the gradual variations of these parameter affect the transition from one form to another. The results thus obtained will help in the generation and structure of the structures in their respective domain. Much of the experiments on dense plasma will benefit from the parametric study. Further we have studied amplitude modulation followed by a detailed study on chaos.

Two-soliton and three-soliton interactions of electron acoustic waves in quantum plasma

Pramana ◽  
2015 ◽  
Vol 86 (4) ◽  
pp. 873-883 ◽  
Author(s):  
KAUSHIK ROY ◽  
SWAPAN KUMAR GHOSH ◽  
PRASANTA CHATTERJEE
Keyword(s):  
Acoustic Waves ◽  
Quantum Plasma ◽  
Soliton Interactions ◽  
Electron Acoustic Waves ◽  
Electron Acoustic

scholarly journals Linear Nuclear Acoustic Waves in Degenerate Quantum Plasma

2018 ◽  
Vol 5 (1) ◽  
pp. 20-23
Author(s):  
M Hasan ◽  
DMS Zaman
Keyword(s):  
Acoustic Waves ◽  
Mass Density ◽  
Phase Speed ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Quantum Plasma ◽  
Restoring Force ◽  
Linear Waves ◽  
Basic Features ◽  
Electrostatic Perturbation

A rigorous theoretical investigation has been made on the linear propagation of electrostatic perturbation modes of degenerate pressure driven modified nucleus-acoustic (DPDMNA) ‘waves in a degenerate quantum plasma (DQP) system. It contains cold inertia-less degenerate electron species (DES), cold inertial non-degenerate light nucleus species (LNS) and stationary heavy nucleus species (HNS) which maintains the quasi-neutrality condition at equilibrium only. The mass density of the cold LNS provides the inertia and the cold inertia-less cold LNS provides the inertia and the cold inertia-less DES gives rise to the restoring force. The reductive perturbation method has been used for the study of nonlinear propagation of the DPDMNA waves. The basic features of linear waves are supervised in a theoretical manner. It has been observed that the phase speed of DPDMNA waves changes with the change of charge density of the stationary HNS for both non-relativistic and ultra-relativistic DES; The NA waves with their dispersion properties which are consequential in various astrophysical and laboratory plasmas, have been broadly considered. GUB JOURNAL OF SCIENCE AND ENGINEERING, Vol 5(1), Dec 2018 P 20-23

Nonlinear electron-acoustic waves in quantum plasma

2009 ◽  
Vol 16 (3) ◽  
pp. 032304 ◽  
Author(s):  
O. P. Sah ◽  
J. Manta
Keyword(s):  
Acoustic Waves ◽  
Quantum Plasma ◽  
Electron Acoustic Waves ◽  
Electron Acoustic

Nonlinear ion-acoustic waves in multicomponent plasmas

1988 ◽  
Vol 66 (1) ◽  
pp. 79-81 ◽  
Author(s):  
G. C. Das ◽  
B. Karmakar
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Ionic Species ◽  
System Of Equations ◽  
Ion Acoustic Waves ◽  
Plasma Dynamics ◽  
Small Magnitude ◽  
Reductive Perturbation ◽  
Ion Acoustic

By applying the reductive perturbation technique to the basic system of equations governing plasma dynamics, a modified Korteweg–de Vries (KdV) equation is derived. The inclusion of nonisothermality, together with its reduction to a small magnitude, yields various interesting characteristics relating to the existence of solitons in multicomponent plasmas that include several ionic species and multiple nonisothermal electrons. The mathematical development shows that a closed relation among the solitons existing in the various plasmas arises due to the different magnitude of nonisothermalities.

In search of hyperchaos in a high dimensional unmagnetized quantum plasma

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Laxmikanta Mandi ◽  
Hayder Natiq ◽  
Prasanta Chatterjee ◽  
Rustam Ali ◽  
Santo Banerjee
Keyword(s):  
Acoustic Waves ◽  
Hot Electrons ◽  
Wave Transformation ◽  
High Dimensional ◽  
Quantum Plasma ◽  
The Novel ◽  
Plasma System ◽  
Dimensional Dynamical System ◽  
The Stability ◽  
Electron Acoustic

AbstractThe hyperchaos and multistability of electron acoustic waves in a quantum plasma model comprising of nondegenerate cold and degenerate hot electrons and stationary ions are investigated. A six-dimensional dynamical system is constructed from the fluid equations of the model considering traveling wave transformation. The stability analysis of the system is done by finding out the equilibria in the inertia frame. It is interesting to investigate that though the novel system is conservative, it can produce hyperchaos for a set of associated parameters. We have also reported the coexistence of many hyperchaotic attractors as the system is extremely sensitive to the initials. The signature of hyperchaos and coexisting hyperchaos in a conservative quantum plasma system has never been reported before.

On the existence of weak stationary electron-acoustic double layers

1993 ◽  
Vol 49 (2) ◽  
pp. 283-293 ◽  
Author(s):  
R. L. Mace ◽  
M. A. Hellberg
Keyword(s):  
Acoustic Waves ◽  
Perturbation Technique ◽  
Broad Band ◽  
Mkdv Equation ◽  
Double Layers ◽  
Dynamical Equations ◽  
Electron Acoustic Waves ◽  
Electron Acoustic Wave ◽  
Electron Acoustic ◽  
Parameter Values

The recent interest in the electron-acoustic wave as a source of broad-band electrostatic noise in the terrestrial magnetosphere makes it interesting to ask whether it can support stationary electrostatic double layers. We investigate this problem in a fluid plasma composed of cool ions, cool electrons and a hot Boltzmann electron component – which is known to support electron-acoustic waves. Although a formal application of the reductive perturbation technique to our dynamical equations leads to an mKdV equation for electron-acoustic waves, it is found that within the present physical model the consistency conditions and required ordering of the coefficients cannot be satisfied simultaneously for reasonable parameter values. As a consequence, it is shown that the neglect of the φ(2) term in deriving the mKdV equation is unjustified under general circumstances, and furthermore that the cubic nonlinearity introduced by the mKdV equation is negligible when compared with this term. Finally, we are led to conclude that stationary, weak electron-acoustic double layers cannot exist in such a plasma.

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