On the existence and formation of small amplitude electrostatic double‐layer structure in nonthermal dusty plasma

Abstract

In the present article, we studied the effect of nonthermal electrons on the formation and existence of double‐layer structures in a three‐species plasma consisting of positive ions, nonthermal electrons, and immobile negative dust‐charged grains. Employing the reductive perturbations, a modified Korteweg–de Vries (mKdV) type equation is derived for the dust‐ion‐acoustic waves (DIAWs) bearing nonthermality. We found that both positive and negative polarity shock structures (double layer) can exist such that it switches polarity while changing the dust charge concentrations. However, strong nonthemality favours only rarefactive structures irrespective of the ion temperature. It is also found that increasing the nonthermal electron in the system the width of the double layer is increased; furthermore, the shock structure forms with small dust charge concentration. For small ionic temperature, increasing the nonthermal electrons in the system makes the double layer potential to increase; however, for σ = 1 reverse phenomena occurs. Our results are relevant to the shock observations in Q machine experiments and in the ionospheric regime of the earth.

Effect of Tsallis–Gurevich distributed ions on nonlinear dust‐acoustic oscillations in collisionless nonextensive plasma

“…[ 4 ] These modes have been intensively studied and analysed, during the last three decades, by many authors. [ 5–12 ]…”

Propagation of different kinds of non-linear ion-acoustic waves in Earth’s magnetosphere

“…There are also studies of the escape of ions from Titan's atmosphere Salem et al (2017). All this is in addition to studies that have been conducted by means of small amplitudes in ionospheric heaters and that have led to different types of wave predictions (Khan et al, 2020;Alotaibi et al, 2021). Many different studies have explored methods for finding solutions to the NLS equation and its applications in various physical phenomena, for example but are not limited to these.…”