中国物理B ›› 2019, Vol. 28 ›› Issue (1): 15202-015202.doi: 10.1088/1674-1056/28/1/015202

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇    下一篇

Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

S Hussain, H Hasnain, Mahnaz Q. Haseeb   

  1. 1 Theoretical Physics Division(TPD), PINSTECH, P. O. Nilore, Islamabad, Pakistan;
    2 Department of Physics, COMSATS University, Islamabad, Pakistan
  • 收稿日期:2018-07-03 修回日期:2018-10-22 出版日期:2019-01-05 发布日期:2019-01-05
  • 通讯作者: S Hussain E-mail:sajjadtarlai_2@hotmail.com

Damped electrostatic ion acoustic solitary wave structures in quantum plasmas with Bohm potential and spin effects

S Hussain1, H Hasnain1, Mahnaz Q. Haseeb2   

  1. 1 Theoretical Physics Division(TPD), PINSTECH, P. O. Nilore, Islamabad, Pakistan;
    2 Department of Physics, COMSATS University, Islamabad, Pakistan
  • Received:2018-07-03 Revised:2018-10-22 Online:2019-01-05 Published:2019-01-05
  • Contact: S Hussain E-mail:sajjadtarlai_2@hotmail.com

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摘要：

Nonlinear properties of ion acoustic solitary waves are studied in the case of dense magnetized plasmas. The degenerate electrons with relative density effects from their spin states in the same direction and from equally probable up and down spinning states are taken up separately. Quantum statistical as well as quantum tunneling effects for both types of electrons are taken. The ions have large inertia and are considered classically, whereas the electrons are degenerate. The collisions of ions and electrons with neutral atoms are considered. We derive the deformed Korteweg de-Vries (DKdV) equation for small amplitude electrostatic potential disturbances by employing the reductive perturbation technique. The Runge-Kutta method is applied to solve numerically the DKdV equation. The analytical solution of DKdV is also presented with time dependence. We discuss the profiles for velocity, amplitude, and time variations in solitons for the cases when all the electrons are spinning in the same direction and for the case when there is equal probability of electrons having spin up and spin down. We have found that the wave is unstable because of the collisions between neutral gas molecules and the charged plasmas particles in the presence of degenerate electrons.

关键词: degenerate plasma, collisions, spin-up, spin-down

Abstract:

Nonlinear properties of ion acoustic solitary waves are studied in the case of dense magnetized plasmas. The degenerate electrons with relative density effects from their spin states in the same direction and from equally probable up and down spinning states are taken up separately. Quantum statistical as well as quantum tunneling effects for both types of electrons are taken. The ions have large inertia and are considered classically, whereas the electrons are degenerate. The collisions of ions and electrons with neutral atoms are considered. We derive the deformed Korteweg de-Vries (DKdV) equation for small amplitude electrostatic potential disturbances by employing the reductive perturbation technique. The Runge-Kutta method is applied to solve numerically the DKdV equation. The analytical solution of DKdV is also presented with time dependence. We discuss the profiles for velocity, amplitude, and time variations in solitons for the cases when all the electrons are spinning in the same direction and for the case when there is equal probability of electrons having spin up and spin down. We have found that the wave is unstable because of the collisions between neutral gas molecules and the charged plasmas particles in the presence of degenerate electrons.

Key words: degenerate plasma, collisions, spin-up, spin-down

中图分类号:  (Electron collisions)

  • 52.20.Fs
52.25.Ya (Neutrals in plasmas) 52.30.Ex (Two-fluid and multi-fluid plasmas) 52.35.-g (Waves, oscillations, and instabilities in plasmas and intense beams)