scholarly journals Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma

Plasma ◽  
2021 ◽  
Vol 4 (3) ◽  
pp. 426-434
Author(s):  
Sharmin Jahan ◽  
Booshrat E. Sharmin ◽  
Nure Alam Chowdhury ◽  
Abdul Mannan ◽  
Tanu Shree Roy ◽  
...  

A theoretical investigation has been carried out to examine the ion-acoustic shock waves (IASHWs) in a magnetized degenerate quantum plasma system containing inertialess ultra-relativistically degenerate electrons, and inertial non-relativistic positively charged heavy and light ions. The Burgers equation is derived by employing the reductive perturbation method. It can be seen that under the consideration of non-relativistic positively charged heavy and light ions, the plasma model only supports the positive electrostatic shock structure. It is also observed that the charge state and number density of the non-relativistic heavy and light ions enhance the amplitude of IASHWs, and the steepness of the shock profile is decreased with ion kinematic viscosity. The findings of our present investigation will be helpful in understanding the nonlinear propagation of IASHWs in white dwarfs and neutron stars.

2011 ◽  
Vol 89 (9) ◽  
pp. 961-965 ◽  
Author(s):  
Hamid Reza Pakzad

Propagation of nonlinear quantum ion–acoustic shock waves in dense quantum plasma, whose constituents are electrons, positrons, and positive ions, is investigated using a quantum hydrodynamical model. Moreover, it is assumed that ion velocity is weakly relativistic. Also, we consider the effects of kinematic viscosity among the plasma constituents. By using reductive perturbation method, the Korteweg – de Vries – Burger equation is derived. The effects of relativistic ions, ion temperature, and the quantum Bohm potential on the shock waves are reported in this paper.


2017 ◽  
Vol 13 (1) ◽  
pp. 4499-4506 ◽  
Author(s):  
Nooshin Pishbin ◽  
M. R. Rouhani ◽  
H. Hakimi Pajouh ◽  
N. Alinejad

The behavior of nonlinear quantum dust ion acoustic (QDIA) shock waves in a collisionless, unmagnetized plasma consisting of inertialess quantum electrons and positrons, classical cold ions and stationary negatively charged dust grains with dust charge variation is investigated using quantum hydrodynamic (QHD) equations. The propagation of small amplitude QDIA shock waves is governed by Burgers equation. It is shown that the dust charge variation plays an important role in the formation of such QDIA shock structures. The dependence of the shock wave’s amplitude and thickness on the chemical potential is investigated. The present theory is applicable to analyze the formation of nonlinear structures at quantum scales in dense astrophysical objects.


2012 ◽  
Vol 79 (1) ◽  
pp. 65-68 ◽  
Author(s):  
M. S. ZOBAER ◽  
N. ROY ◽  
A. A. MAMUN

AbstractA theoretical investigation on the nonlinear propagation of ion-acoustic waves in a degenerate dense plasma has been made by employing the reductive perturbation method. The Burger's equation has been derived, and numerically analyzed. The basic features of electrostatic shock structures have been examined. It has been shown that the plasma system under consideration supports the propagation of electrostatic shock structures. The implications of our results (obtained from this investigation) in compact astrophysical objects have been briefly discussed.


2011 ◽  
Vol 375 (43) ◽  
pp. 3794-3800 ◽  
Author(s):  
Jiu-Ning Han ◽  
Long He ◽  
Ning-Xuan Yang ◽  
Zhen-Hai Han ◽  
Xin-Xing Wang

Author(s):  
M.K. Islam ◽  
S. Biswas ◽  
N.A. Chowdhury ◽  
A. Mannan ◽  
M. Salahuddin ◽  
...  

2014 ◽  
Vol 21 (3) ◽  
pp. 032705 ◽  
Author(s):  
M. Hanif ◽  
S. Ali ◽  
Q. Mukhtar ◽  
Arshad M. Mirza

2008 ◽  
Vol 15 (7) ◽  
pp. 072106 ◽  
Author(s):  
W. Masood ◽  
Arshad M. Mirza ◽  
M. Hanif

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