The ion acoustic solitary waves in the four component complex plasma with a Cairns-Tsallis distribution

TL;DR

This paper investigates ion acoustic solitary waves in a complex plasma with multiple components, using the Cairns-Tsallis distribution, and derives conditions for their existence based on plasma parameters.

Contribution

It introduces a detailed analysis of solitary waves in a four-component plasma with nonthermal and nonextensive distributions, deriving existence conditions using Sagdeev pseudo-potential theory.

Findings

Solitary waves exist only if positrons are Maxwellian.

Two-temperature electrons must have identical nonextensive and nonthermal parameters.

Numerical analysis shows dependence of solitary waves on distribution parameters.

Abstract

We study the ion acoustic solitary waves in the four-component complex plasma consisting of cold inertial ions, positrons, cold and hot (two-temperature) electrons, where the electrons and positrons are the Cairns-Tsallis distribution and have different nonthermal and nonextensive parameters. Base on the plasma hydrodynamic equations and Sagdeev pseudo-potential theory, we derive the conditions of the solitary waves to exist in the plasma, such as the Sagdeev pseudo-potential, the normalized electrostatic potential, the lower and upper limits of Mach number, and the compressive/rarefactive solitary wave. We show that, according to the present study, the solitary wave solutions exist only if the positrons are a Maxwellian distribution and the two-temperature electrons have the same nonextensive and nonthermal parameters. Numerical analyses are made for the conditions of solitary waves depending on the nonextensive and nonthermal parameters in the Cairns-Tsallis distribution.