Dust-acoustic instability driven by drifting ions and electrons in the dust plasma with Lorentzian kappa distribution

TL;DR

This paper investigates how drifting electrons and ions with Lorentzian kappa-distributions influence dust-acoustic wave instability in dusty plasmas, revealing the effects of spectral indexes and wave number on growth rates.

Contribution

It introduces a kinetic theory analysis of dust-acoustic instability considering different kappa-distributions for all plasma components, highlighting the spectral indexes' impact.

Findings

Electrons' spectral index stabilizes dust-acoustic waves at small wave numbers.

Ions' spectral index induces instability at small wave numbers.

Dust grains' spectral index stabilizes waves at large wave numbers.

Abstract

The instability of the dust-acoustic waves driven by drifting electrons and ions in a dusty plasma is investigated by the kinetic theory. All the plasma components (electrons, ions and dust particles) are assumed to be the Lorentzian kappa-distributions. The spectral indexes kappa of the kappa-distributions for the three plasma components are different from each other. The obtained instability growth rate depends on the physical quantities of the plasma not only, but on the spectral indexes. The numerical results for the kappa-effect on the instability growth rate show that, if the normalized wave number is small, the index of electrons has a stabilized effect on the dust acoustic waves and the index of ions has an instability effect on the waves, but if the normalized wave number is large, they both nearly have no any effect on the waves. In reverse, the index of dust grains has nearly no any effect on the instability growth rate if the normalized wave number is small, but it has a stabilized effect on the dust waves if the normalized wave number is large.