Kinetic Alfvén wave instability in a Lorentzian dusty magnetoplasma

Abstract

This study presents a theoretical approach to analyze the influence of kappa distributed streaming ions and magnetized electrons on the plasma wave propagation in the presence of dust by employing two-potential theory. In particular, analytical expressions under certain conditions are derived for various modes of propagation comprising of kinetic Alfvén wave streaming instability, two stream instability, and dust acoustic and whistler waves. A dispersion relation for kinetic Alfvén-like streaming instability has been derived. The effects of dust particles and Lorentzian index on the growth rates and the threshold streaming velocity for the excitation of the instability are examined. The streaming velocity is observed to be destabilizing for slow motion and stabilizing for fast streaming motions. It is also observed that the presence of magnetic field and superthermal particles hinders the growth rate of instability. Possible applications to various space and astrophysical situations are discussed.

Kinetic Alfven wave instability in a Lorentzian dusty plasma: Non-resonant particle approach

“…For comparison purpose, the parallel streaming of ions with respect to magnetic field V 0 k B 0 ð Þ , we have identified several branches, the electrostatic two-stream mode developed by the free energy in the Doppler-shifted jÀ ions motion, the Whistler-like and the dust acoustic mode, 25 while for V 0 ? B 0 ð Þ; we have studied an electromagnetic wave instability and the general dispersion equation obtained which have several coupled branches.…”

“…[22][23][24] More recently, Rubab et al have studied the effect of KAW instability in the presence of field aligned beam of kappa distributed ions in a dusty plasma. 25 Accordingly, in this paper, we present an investigation of the dispersion properties of low-frequency electromagnetic waves in a low-b, multi-component plasma composed of perpendicular streaming ions, strongly magnetized electrons and unmagnetized dust. In particular, we are interested to investigate the theoretical aspect of KAW instability in an inertial regime, i.e., inertial Alfvén wave-type instability in a dusty plasma by an interaction between the cross-field current and the low-frequency inertial Alfvén wave.…”

Dispersion and damping rates of dispersive Alfvén wave in a nonextensive plasma

“…However, in the paper, they only considered the AW propagating with wave vector parallel to the ambient magnetic field. Rubab et al 16,17 present a theoretical approach to analyze the influence of kappa distributed electrons and ions on the dust KAW by employing two-potential theory. Basu 18 investigated the stability properties of shear and compressional Alfv en waves in spatially homogeneous plasma in which the equilibrium particle velocity distributions in the parallel and perpendicular directions are modeled by different kappa indexes.…”

Alfvén waves in space and astrophysical dusty plasmas

“…For instance, Rubab et al (2009Rubab et al ( , 2010Rubab et al ( , 2011 employed kappa distribution to study kinetic Alfvén waves by showing that the cross field instability is found to be insensitive to the form of distribution function, while for parallel propagation (V 0 B 0 ) has a strong influence on the growth rates, i.e., for low values of kappa, the instability reduces, while by increasing the spectral index (κ > 5), the amplitude of the unstable region increases. They also showed that the parallel phase velocity of the dispersion relation remains unchanged, while nonthermality is found to be more effective in the perpendicular direction, which can be shown from the following relation:…”