Instability due to trapped electrons in magnetized multi-ion dusty plasmas

Abstract

An attempt has been made to find out the effects of trapped electrons in dust-ion-acoustic solitary waves in magnetized multi-ion plasmas, as in most space plasmas, the hot electrons follow the trapped/vortex-like distribution. To do so, we have derived modified Zakharov-Kuznetsov equation using reductive perturbation method and its solution. A small-k perturbation technique was employed to find out the instability criterion and growth rate of such a wave.

Dust-ion-acoustic Solitary Waves and Their Instability in a Magnetized Adiabatic Dusty Electronegative Plasma

“…2(a) indicates that the amplitude of the SW potential increases with increasing the values of both δ and β. This result completely agrees with Haider et al [18]. Fig.…”

“…2(d) indicates that the amplitude of the SW potential increases with increasing the values of γ (µ e ) rapidly (slightly). It means that effect of adiabatic positive ion changes the potential of SWs, which is found by Haider et al [18]. The variation of the width (∆) for positive SWs with µ n , µ d , γ, ω ci , σ n , σ i and δ is represented in Figs.…”

“…Haider et al [17] have also studied the DIA SWs waves in multi-component magnetized dusty plasmas which consist of negative and positive ions, Boltzmann distributed hot electrons, and immobile negative and positive dust grains. Haider et al [18] have also theoretically investigated the nonlinear propagation of DIA solitary structures in a magnetized dusty plasma consisting negatively and positively charged ion fluid, trapped electrons following a vortexlike distribution, and arbitrary charged stationary dust where restoring force provided by the thermal pressure of electrons and the inertia is due to the ion mass for instability analysis. Mamun [19] has theoretically investigated the basic properties of one-dimensional DIASWs in an unmagnetized adiabatic dusty plasma system which contains inertialess adiabatic electrons, inertial adiabatic ions, and negatively charged stationary dust particles.…”

Modified Korteweg-de Vries (mK-dV) Equation Describing Dust-ion-acoustic Solitary Waves in an Unmagnetized Dusty Plasma with Trapped Negative Ions

“…In the present work we have studied nonlinear wave with mK-dV equation. To observe the higher order nonlinearity one can derive modified Zakharov Kuznetsov (mZK) equation [71], Gardner equation [72], [73] which is combined into KdV-mKdV equations, modified Gardner equation [74], Kadomtsov Petviashivilli (KP) equation [75], Gardner KP (GKP) equation [76] and nonlinear Scrhodinger equation [77]. We have intuit the model based on the study of different astrophysical plasma systems like localized electrostatic disturbances in space (viz.…”

Multi-dimensional instability of dust-ion-acoustic solitary structure with opposite polarity ions and non-thermal electrons

“…Very recently many authors have studied the nonlinear propagation of ion-acoustic (IA) solitary waves (SWs) [1][2][3][4] dust-ion-acoustic (DIA) SWs [5][6][7][8][9], dust-acoustic (DA) SWs [10][11][12][13][14] in a multi-ion plasmas, as negative ions can be found in space [15,16] and laboratory [17][18][19] as well as positive ions. In multi-ion plasmas, there exist fast and slow mode.…”