Arbitrary amplitude double-layers in four-component dusty plasma with q-non-extensive electrons and ions

Abstract

The occurrence and propagation of dust acoustic double-layers with arbitrary amplitude have been investigated in four-component dusty plasma with q-non-extensive distributed electrons and ions. Via the Sagdeev pseudo-potential technique, the fluid equations of the plasma under consideration map to a single equation, namely, energy equation. Also, employing Sagdeev pseudo-potential and phase-portrait techniques shows that the profile of the double-layer solution is highly sensitive to the strength of Mach number, non-extensive parameters, and dust temperatures ratio. The results appear that only compressive double-layers are found for certain conditions. In addition, the case of small amplitude double-layer approximation is introduced and the explicit form of double-layer solution is written down where its amplitude and width depend crucially on the plasma parameters. The obtained results are very useful to understand the basic features of Jupiter's magnetosphere, Earth's mesosphere, and cometary tails where non-extensive electrons and ions can significantly dominate the wave propagation and also to laboratory plasmas.