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

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.

17 pages,8 figures,more than 50 references

References in corpus (3)

• The collision frequencies in the plasmas with the power-law q-distributions in nonextensive statistics
• The collision frequency of electron-neutral-particle in the weakly ionized plasmas with Non-Maxwellian velocity distributions
• Diffusions and anomalous diffusions of charged particles in the plateau regime of toroidal plasma

Cited by in corpus (1)

• Small amplitude ion-acoustic solitary waves in a four-component magneto-rotating plasma with a modified Cairns-Tsallis distribution