Large Amplitude Dust Ion Acoustic Solitons and Double Layers in Dusty Plasmas with Ion Streaming and High-Energy Tail Electron Distribution

Abstract

Large amplitude dust ion acoustic (DIA) solitons as well as double layers (DLs) are studied in a dusty plasma having a high-energy-tail electron distribution. The influence of electron deviation from the Maxwellian distribution and ion streaming on the existence domain of solitons is discussed in the (M, f) space using the pseudo-potential approach. It is found that in the presence of streaming ions and for a fixed f, solitons may appear for larger values of M. This means that in the presence of ion streaming, high values of the Mach number are needed to have soliton. The DIA solitary waves profile is highly sensitive to the ion streaming speed. Their amplitude is found to decrease with an increase of the ion streaming speed. In addition, we find that the ion streaming effect may lead to the appearance of double layers. The results of this article should be useful in understanding the basic nonlinear features of DIA waves propagating in space dusty plasmas, especially those including a relative motion between species, such as comet tails and solar wind streams, etc.

A New Approach to Energy Integral for Investigation of Dust—Ion Acoustic (DIA) Waves in Multi-Component Plasmas with Quantum Effects in Inertia Less Electrons

“…The Cairn distribution (17), reduces to Boltzmann distribution n e = n o exp φ for β = 0 and hence β = 0 can be said to be deviation parameter from inertia less electrons imbibing therein smaller order nonlinearity as explained above. Noticeably, the quantum parameter H e occurs in the inertia less fluid equation of electrons is also dependent on electron inertia m e , since…”

“…Further in IA waves in dusty plasma, [16] the troughs of the first sinusoidal pulse is found to become shallow and mach velocity of the peak in the oscillation experimentally decrease when negatively charged dusts are mixed in the plasma. The dust ion acoustic (DIA) solitons, [17] found in a dusty plasma having high electron energy distribution.…”

Modified Korteweg–de Vries solitons with quartic nonlinearity in a dusty plasma

“…The nonlinear dust ion-acoustic (DIA) waves generating shock waves [29,30] have also been reported experimentally. In the investigation of nonlinear dust ion-acoustic solitary waves (DIASW) in a dusty plasma with high-energy-tail electron distribution [31], it was found that ion streaming effect lead to the formation of double layers. The investigation of dust ion-acoustic solitary waves (DIASW) using energy integral [32] in a multicomponent plasma has shown the existence of both compressive and rarefactive, supersonic and subsonic solitons with significant characters.…”

Comparative study of dust ion acoustic Korteweg–de Vries and modified Korteweg–de Vries solitons in dusty plasmas with variable temperatures

“…The presence of dust particles is found to drastically change the properties of solitary waves of space (Rao, Shukla & Yu 1990; Shukla & Silin 1992; Verheest 1992; Barkan, Marlino & D’Angelo 1995; Mamun, Cairns & D’Angelo 1996; Mamun 1999; Shukla & Mamun 2002) and laboratory (Nakamura, Bailung & Shukla 1999; Ghosh et al. 2000; Nakamura & Sarma 2001; Shahmansouri & Tribeche 2014) plasmas.…”

“…In planetary rings (Shukla & Silin 1992), the Earth's magnetosphere (Vette 1970;Tokar & Gary 1984), neighbourhood of stars (Shukla & Mamun 2002) and in cometary tails (Chow, Mendis & Rosenberg 1993;Mendis & Rosenberg 1994), the effect of dust particles are nicely described. The presence of dust particles is found to drastically change the properties of solitary waves of space (Rao, Shukla & Yu 1990;Shukla & Silin 1992;Verheest 1992; Barkan, Marlino & D'Angelo 1995;Mamun, Cairns & D'Angelo 1996;Mamun 1999;Shukla & Mamun 2002) and laboratory (Nakamura, Bailung & Shukla 1999;Ghosh et al 2000;Nakamura & Sarma 2001;Shahmansouri & Tribeche 2014) plasmas.…”