A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasma

TL;DR

This paper investigates how nonextensive statistical mechanics affects the instability of current-driven ion-acoustic waves in space plasma, revealing that ions significantly influence wave behavior under certain temperature conditions.

Contribution

It introduces a nonextensive framework using q-Maxwellian distributions to analyze ion-acoustic wave instability, highlighting the dominant role of ions and temperature effects.

Findings

Nonextensive effects are negligible at high electron temperatures.

Ions have a dominant influence on nonextensive effects.

Wave frequency and growth rate are derived for different q-parameters.

Abstract

The instability of current-driven ion-acoustic waves in the collisionless magnetic-field-free space plasma is investigated by using a nonextensive approach. The ions and the electrons are thought of in the power-law distributions that can be described by the generalized q-Maxwellian velocity distribution and are considered with the different nonextensive q-parameters. The generalized q-wave frequency and the generalized instability q-growth rate for the ion-acoustic waves are derived. The numerical results show that the nonextensive effects on the ion-acoustic waves are not apparent when the electron temperature is much more than the ion temperature, but they are salient when the electron temperature is not much more than the ion temperature. As compared with the electrons, the ions play a dominant role in the nonextensive effects.