Linear dust acoustic waves in inhomogeneous dusty plasmas with dust grains having power law size distribution

TL;DR

This paper investigates how dust density inhomogeneity and a power-law dust size distribution influence linear dust acoustic wave propagation in unmagnetized dusty plasmas, revealing mode distinctions and velocity variations.

Contribution

It provides a theoretical analysis of DA wave dispersion in inhomogeneous dusty plasmas with power-law DSD, highlighting effects on wave modes and phase velocity.

Findings

Identification of slow and fast wave modes in inhomogeneous plasma

Dispersion characteristics are significantly affected by DSD and density inhomogeneity

Phase velocity increases with dust density

Abstract

The impacts of dust density inhomogeneity and dust size distribution (DSD) on linear dust acoustic (DA) wave propagation have been investigated theoretically in an inhomogeneous unmagnetized dusty plasma having powerlaw DSD. Two different types of wave modes, viz. slow and fast mode, are found to propagate in this inhomogeneous medium. It is shown that the linear dispersion characteristics of the DA waves are substantially affected by the DSD and density inhomogeneity. Also, it is found that the phase velocity increases with increasing dust density.