Journal of Nuclear Science, Engineering and Technology (JONSAT)
In cooperation with the Iranian Nuclear Society

Dust-ion acoustic shock wave in four-component magnetized dusty plasma

Document Type : Research Paper

Author

M. Ghasemloo

Department of Physics, Yadegar-e-Imam Khomeini (RAH) Shahr e Rey Branch, Islamic Azad University, P.O.Box: 144-18155, Tehran-Iran

https://doi.org/10.24200/nst.2022.1350
Abstract
The Zakharov-Kuznetsov-Burgers (ZKB) equation for the Dust Ion Acoustic (DIA) Shock waves in four-component magnetized dusty plasma using standard reductive perturbation technique and hydrodynamics model have been theoretically investigated. Plasma medium is collisionless and contains inertia less Fermi-Dirac distributed electrons and positrons, cold classical ions, and damaging dust grains, which are affected by dust charge variations. By considering an external magnetic field in the desired direction, It can be seen that the specifications of DIA shock waves are significantly affected by the quantum Bohm potential term (H), magnetic field strength (Ωc), dust concentration (d), direction cosines (l), and viscosity of ions (η˳). The present research results can help study the physical mechanism of nonlinear propagation of DIA shock waves in laboratory and space plasmas where quantum electrons and positrons, dust particles, and ions can exist.

Highlights

1. P.K. Shukla, A.A. Mamun, Introduction to Dusty Plasma Physics (Institute of Physics, Bristol 2002).

 

2. M. Tribeche, M. Bacha, Dust-acoustic shock waves in a charge varying electronegative magnetized dusty plasma with suprathermal electrons, Phys. Plasmas, 19, 123706 (2012).

 

3. M. Shahmansouri, H. Alinejad, Effect of electron nonextensivity on oblique propagation of arbitrary ion acoustic waves in a magnetized plasma, Astrophys. Space Sci. 344, 463 (2013).

 

4. P.K. Shukla, A survey of dusty plasma physics, Phys. Plasmas, 8, 1791 (2001).

 

5. A.A. Mamun, Effects of adiabaticity of electrons and ions on dust-ion-acoustic solitary waves, Phys. Lett. A 372, 1490 (2008).

 

6. W.M. Moslem, R. Sabry, Zakharov-Kuznetsov-Burgers equation for dust ion acoustic waves, Chaos Solitons Fractals, 36, 628 (2008).

 

7. P.K. Shukla, Nonlinear waves and structures in dusty plasmas, Phys. Plasmas, 10, 1619 (2003).

 

8. H. Wang, K. Zhang, Dust-ion acoustic shock waves in a dusty multi-ion plasma with negatively dust-charge fluctuation, J. Korean Phys. Soc. 66, 203 (2015).

 

9. Y. Nakamura, Experiments on ion-acoustic shock waves in a dusty plasma, Phys. Plasmas, 9, 440 (2002).

 

10. P.K. Shukla, A.A. Mamun, Dust-acoustic shocks in a strongly coupled dusty plasma, IEEE Trans. Plasma. Sci., 29, 221 (2001).

 

11. M. Shalaby, et al, On the stability of obliquely propagating dust ion-acoustic solitary waves in hot adiabatic magnetized dusty plasmas, Phys. Plasmas. 16, 123706 (2009).

 

12. H.L. Zhen, et al, Dynamics of the Zakharov-Kuznetsov-Burgers equations in dusty plasmas, Phys. Plasmas. 20, 082311-8 (2013).

 

13. A. Barkan, N. D’Angelo, R.L. Merlino, Experiments on ion-acoustic waves in dusty plasmas, Planet. Space. Sci., 44, 239 (1996).               

 

14. S. Ghosh, et al, Dust ion acoustic shock waves in a collision less dusty plasma, Phys. Lett. A 274, 162 (2000).

 

15. A. Abdikian, Nonlinear Propagation of Acoustic Soliton Waves in Dense Quantum Electron-Positron Magnetoplasma, WASET Journal, 11, 7 (2017).

 

16. N. Pishbin, M.R. Rouhani, The tanh solution of KdV-B equation in four-component quantum plasma by taking into account dust charge variation, Physics of Plasmas, 24, 123702 (2017).

 

17. T.S. Gill, A.S. Bains, N.S. Saini, Ion acoustic soliton in weakly relativistic  magnetized electron–positron–ion plasma, Canadian Journal of  Physics, 87, 861 (2009).

 

18. R.C. Davidson, J.E. Scherer, Methods in Nonlinear Plasma Theory, IEEE Trans. Plasma Sci, 1, 58 (1973).

 

19. W.M. Moslem, R. Sabry, Chaos, Zakharov–Kuznetsov–Burgers equation for dust ion acoustic waves, Solitons and Fractals, 36, 628 (2008).

 

20. N. Krall, A.W. Trivelpiece, Principles of  plasma physics, (Mc Graw-Hill Inc 1973).

 

21. S.A. Elwakil, et al, Modified extended tanh-function method for solving nonlinear partial differential equations, Phys Lett A, 299, 179 (2002).

 

22. H. Demiray, A. Abdikian, Modulational instability of acoustic waves in a dusty plasma with nonthermal electrons and trapped ions, Chaos, Solitons and Fractals, 121, 50 (2019).

 

23. S. Hussain, N. Akhtar, Damped electrostatic structures in quantum plasmas, Physics of Plasmas, 24, 062109 (2017).

Keywords

Zakharov–Kuznetsov–Burgers equation (ZKB)
Dust-ion-acoustic shock waves
Fermi-Dirac distribution function
1. P.K. Shukla, A.A. Mamun, Introduction to Dusty Plasma Physics (Institute of Physics, Bristol 2002).
 
2. M. Tribeche, M. Bacha, Dust-acoustic shock waves in a charge varying electronegative magnetized dusty plasma with suprathermal electrons, Phys. Plasmas, 19, 123706 (2012).
 
3. M. Shahmansouri, H. Alinejad, Effect of electron nonextensivity on oblique propagation of arbitrary ion acoustic waves in a magnetized plasma, Astrophys. Space Sci. 344, 463 (2013).
 
4. P.K. Shukla, A survey of dusty plasma physics, Phys. Plasmas, 8, 1791 (2001).
 
5. A.A. Mamun, Effects of adiabaticity of electrons and ions on dust-ion-acoustic solitary waves, Phys. Lett. A 372, 1490 (2008).
 
6. W.M. Moslem, R. Sabry, Zakharov-Kuznetsov-Burgers equation for dust ion acoustic waves, Chaos Solitons Fractals, 36, 628 (2008).
 
7. P.K. Shukla, Nonlinear waves and structures in dusty plasmas, Phys. Plasmas, 10, 1619 (2003).
 
8. H. Wang, K. Zhang, Dust-ion acoustic shock waves in a dusty multi-ion plasma with negatively dust-charge fluctuation, J. Korean Phys. Soc. 66, 203 (2015).
 
9. Y. Nakamura, Experiments on ion-acoustic shock waves in a dusty plasma, Phys. Plasmas, 9, 440 (2002).
 
10. P.K. Shukla, A.A. Mamun, Dust-acoustic shocks in a strongly coupled dusty plasma, IEEE Trans. Plasma. Sci., 29, 221 (2001).
 
11. M. Shalaby, et al, On the stability of obliquely propagating dust ion-acoustic solitary waves in hot adiabatic magnetized dusty plasmas, Phys. Plasmas. 16, 123706 (2009).
 
12. H.L. Zhen, et al, Dynamics of the Zakharov-Kuznetsov-Burgers equations in dusty plasmas, Phys. Plasmas. 20, 082311-8 (2013).
 
13. A. Barkan, N. D’Angelo, R.L. Merlino, Experiments on ion-acoustic waves in dusty plasmas, Planet. Space. Sci., 44, 239 (1996).               
 
14. S. Ghosh, et al, Dust ion acoustic shock waves in a collision less dusty plasma, Phys. Lett. A 274, 162 (2000).
 
15. A. Abdikian, Nonlinear Propagation of Acoustic Soliton Waves in Dense Quantum Electron-Positron Magnetoplasma, WASET Journal, 11, 7 (2017).
 
16. N. Pishbin, M.R. Rouhani, The tanh solution of KdV-B equation in four-component quantum plasma by taking into account dust charge variation, Physics of Plasmas, 24, 123702 (2017).
 
17. T.S. Gill, A.S. Bains, N.S. Saini, Ion acoustic soliton in weakly relativistic  magnetized electron–positron–ion plasma, Canadian Journal of  Physics, 87, 861 (2009).
 
18. R.C. Davidson, J.E. Scherer, Methods in Nonlinear Plasma Theory, IEEE Trans. Plasma Sci, 1, 58 (1973).
 
19. W.M. Moslem, R. Sabry, Chaos, Zakharov–Kuznetsov–Burgers equation for dust ion acoustic waves, Solitons and Fractals, 36, 628 (2008).
 
20. N. Krall, A.W. Trivelpiece, Principles of  plasma physics, (Mc Graw-Hill Inc 1973).
 
21. S.A. Elwakil, et al, Modified extended tanh-function method for solving nonlinear partial differential equations, Phys Lett A, 299, 179 (2002).
 
22. H. Demiray, A. Abdikian, Modulational instability of acoustic waves in a dusty plasma with nonthermal electrons and trapped ions, Chaos, Solitons and Fractals, 121, 50 (2019).
 
23. S. Hussain, N. Akhtar, Damped electrostatic structures in quantum plasmas, Physics of Plasmas, 24, 062109 (2017).

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