Dust acoustic shock wave in electronegative dusty plasma: Roles of weak magnetic field

Abstract

The effects of nonsteady dust charge variations and weak magnetic field on small but finite amplitude nonlinear dust acoustic wave in electronegative dusty plasma are investigated. The dynamics of the nonlinear wave are governed by a Korteweg–de Vries Burger equation that possesses dispersive shock wave. The weak magnetic field is responsible for the dispersive term, whereas nonsteady dust charge variation is responsible for dissipative term, i.e., the Burger term. The coefficient of dissipative term depends only on the obliqueness of the magnetic field. It is found that for parallel propagation the dynamics of the nonlinear wave are governed by the Burger equation that possesses monotonic shock wave. The relevances of the findings to cometary dusty plasma, e.g., Comet Halley are briefly discussed.

Dust-acoustic shock waves in a charge varying electronegative magnetized dusty plasma with nonthermal ions: Application to Halley Comet plasma

“…However, in the presence of a very strong magnetic field, the orbits of the magnetized plasma particles are confined to one dimension along the field lines, and thus the perturbed field does not come into play, and the problem of charging currents becomes independent of the magnetic field. 25 The electron, negative ion, and positive ion charging currents ðI e ; I À ; I þ Þ for a spherical dust grain with radius r d are given by 5,15,17,22,26 …”

“…Note that to justify the validity of our theoretical model, we consider a small deviation from the isothermal (Boltzmann) case ða ¼ 0Þ for the positive ions, i.e., 0 < a < 0: 15. We assume that the dust grain radius r d is much smaller than the electron gyroradius q e , 16,17,20,22,24 and that the dust flow velocity ( the thermal velocities V tj ðj ¼ e; þ; ÀÞ. As rightly pointed out by Taibany and Sabry, 17 this assumption (r d ( q e ) may be appropriate for a plasma laboratory that uses weak magnetic fields.…”

“…The purpose of this paper is to examine the combined effects of an oblique magnetic field and ion nonthermality on weak DA waves in a charge varying electronegative dusty plasmas. We use the correct nonthermal ion charging current and go parallel to what has been done in the work of Ghosh et al 22 The manuscript is organized in the following fashion: in Sec. II, the basic set of fluid equations for the DA waves in an electronegative dusty plasma, in the presence of an external magnetic field is presented.…”

Shock waves in a rotating non‐Maxwellian viscous dusty plasma

“…To study small and finite-amplitude DMSW, we will use the reductive perturbation method [15] and introduce the stretched coordinates as…”

Nonlinear low frequency wave propagation in electronegative dusty plasma: Effects of adiabatic and nonadiabatic charge variations

“…30,31 Recently, the dust acoustic shock wave due to nonadiabatic charge variations in a magnetized electronegative 1D dusty plasma is also investigated. 32 In this paper, we have investigated the effects of both adiabatic and nonadiabatic dust charge variations on nonlinear DAWs in a magnetized electronegative threedimensional (3D) dusty plasma using well known reductive perturbation technique (RPT). In case of adiabatic dust charge variations, we have obtained the ZakharovKuznetsov (ZK) equation which have usual solitary wave solutions.…”