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 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.

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

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.

Resonant interactions between the fundamental and higher harmonic of positron acoustic waves in quantum plasma

2020 ◽  
Vol 75 (10) ◽  
pp. 819-824
Author(s):  
Jit Sarkar ◽  
Swarniv Chandra ◽  
Basudev Ghosh
Keyword(s):  
Conversion Efficiency ◽  
Acoustic Waves ◽  
Second Harmonic ◽  
Laser Pulses ◽  
Quantum Plasma ◽  
Fundamental Wave ◽  
Phase Velocities ◽  
Resonant Interactions ◽  
Ion Plasma ◽  
Gradual Evolution

AbstractIn this paper, we study the second harmonic generation and its interaction with the fundamental mode in a magnetised dense positron-ion plasma interacting with laser pulses. It has been shown that different harmonics propagate with different phase velocities. The gradual evolution of the fundamental wave into higher harmonics is studied, and the conversion efficiency is calculated. Dependence of conversion efficiency on wavenumber shifts and the applied magnetic field has also been examined.

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