Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

N M Heera,J Akter,N K Tamanna,A A Mamun,T I Rajib,N A Chowdhury,S Sultana

doi:10.1063/5.0050519

N M Heera, J Akter + Show 5 more

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https://doi.org/10.1063/5.0050519

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Abstract

A theoretical investigation has been made on the propagation of ion-acoustic shock waves in a magnetized pair-ion plasma having inertial warm positive and negative ions and inertialess super-thermal electrons and positrons. The well known Burgers equation has been derived by employing the reductive perturbation method. The plasma model supports both positive and negative shock structures under consideration of super-thermal electrons and positrons. It is found that the oblique angle (δ) enhances the magnitude of the amplitude of both positive and negative shock profiles. It is also observed that the steepness of the shock profiles decreases with the kinematic viscosity of the ion and the height of the shock profile increases (decreases) with the mass of the positive (negative) ion. The implications of the results have been briefly discussed for space and laboratory plasmas.

Highlights

The negative ions have been identified in cometary comae,[1] (H+, O−2 ) and (H+, H−) plasmas in the D and F regions of Earth’s ionosphere,[2] upper regions of Titan’s atmosphere[2,3] and in the laboratory experiments, namely, plasma processing reactors,[4](Ar+, (Xe+, FS−F)6−p)lapslmasam,11a,n5–e8ut(rAalr+be, aOm−2 s)ouprlacsems,1a2, p(lKas+m, aSeFt6−ch) inpgla,1s3m(aA,9r,+10, F−) plasma,[14] combustion products,[13] and fullerene (C6+0, C6−0)plasma.[15,16] The negative ion in a plasma is considered to be produced due to the attachment of electrons with the atom.[17]
To derive the Burgers equation for the IA shock waves (IASHWs) propagating in a magnetized PIPM, first, we introduce the stretched coordinates,[35,42] ξ = ε(lxx + lyy + lzz − Υpt), (14)
The existing external magnetic field can significantly change the configuration of the IASHWs in PIPM; the effects of the external magnetic field can be observed from Figs. 2 and 3, and it is clear from Figs 2 and 3 that the magnitude of the amplitude of the scitation.org/journal/adv positive (i.e., ψ > 0) and negative (i.e., ψ < 0) electrostatic shock profiles increases with the increase in the value of oblique angle δ, which is the angle between the direction of the existing external magnetic field and the direction of the propagation of the electrostatic wave, and this result agrees with the result of Hossen et al.[35]

Summary

INTRODUCTION

The negative ions have been identified in cometary comae,[1] (H+, O−2 ) and (H+, H−) plasmas in the D and F regions of Earth’s ionosphere,[2] upper regions of Titan’s atmosphere[2,3] and in the laboratory experiments, namely, plasma processing reactors,[4]. Kaladze and Mahmood[28] investigated the nonlinear features of IAWs in a super-thermal plasma and observed that the super-thermal electrons can cause to decrease the height of the IAWs. Pakzad[29] considered a three-component plasma model having inertial ions and inertialess super-thermal electrons and positrons, examined the IA shock waves (IASHWs), and reported that the amplitude of the shock profile increases with κ. Bains et al.[36] considered a two-component plasma medium containing inertial ions and inertialess super-thermal electrons, observed IASHWs in the presence of external magnetic field, and found that the magnitude of the amplitude of negative shock potential increases with κ. To the best of the authors’ knowledge, no attempt has been made to study the IASHWs in a four-component magnetized plasma by considering kinematic viscosities of both inertial warm positive and negative ion species and inertialess super-thermal electrons and positrons.

GOVERNING EQUATIONS

DERIVATION OF THE BURGERS EQUATION

RESULTS AND DISCUSSION

CONCLUSION