Ion acoustic solitary waves in a plasma with nonthermal electrons featuring Tsallis distribution

Abstract

The model of Cairns et al. [Geophys. Res. Lett. 22, 2709 (1995)] is generalized. A physically meaningful nonextensive nonthermal velocity distribution is outlined. As the nonextensive character of the nonthermal electrons increases, the distribution shoulders may become less or more prominent and high-energy states are less or more probable than in the extensive nonthermal case. It is found that our plasma model supports the coexistence of smooth rarefactive and spiky compressive ion-acoustic solitary waves. The rarefactive solitons are more affected by nonextensivity than their compressive counterpart and a slight increase in the nonextensive parameter may destroy this dual nature.

Investigation of electromagnetic soliton in the Cairns–Tsallis model for plasma

“…As it is mentioned, in our plasma model, the electrons distribution function of plasma obey the Cairns-Tsallis distribution function as follow [31,32] …”

“…Ion acoustic solitary wave was investigated in a two component plasma with nonextensive electrons by Tribeche et al [31]. They realized this model of plasma could explain both rarefactive and compressive solitons.…”

A study on dust acoustic traveling wave solutions and quasiperiodic route to chaos in nonthermal magnetoplasmas

“…Space variables and time are normalized to the dust gyroradius r and inverse of the dust gyrofrequency X, respectively. The nonextensive nonthermal velocity distribution [31] function is given by:…”

“…These types of plasmas are known as nonthermal plasmas which are observed in Mercury, in the solar wind, Saturn and in the Magnetospheres of the Earth [29,30]. Tribeche et al [31] generalized the model of Cairns et al [32] and outlined a physically meaningful nonextensive nonthermal velocity distribution. They [31] studied the ion acoustic solitary waves in a plasma with nonthermal electrons featuring Tsallis distribution (Cairns-Tsallis).…”

“…Tribeche et al [31] generalized the model of Cairns et al [32] and outlined a physically meaningful nonextensive nonthermal velocity distribution. They [31] studied the ion acoustic solitary waves in a plasma with nonthermal electrons featuring Tsallis distribution (Cairns-Tsallis). Recently, Williams and Kourakis [33] re-examined the Cairns-Tsallis model for ion acoustic solitons and concluded that the parameters q and a must be in the ranges 0 a\0:25 and 0:6\q\1 subject to the physical cutoff imposed by the monotonicity condition a ¼ …”