In the existence of a transverse dc electric field, the kinetic theory of current‐driven electrostatic ion cyclotron waves excitation in a magnetized dusty plasma

Abstract

The theoretical modelling for the electrostatic ion cyclotron (EIC) waves in the existence of a transverse direct current (dc) electric field in a collisionless magnetized dusty plasma has been investigated using the kinetic theory model. It is examined that after incorporation of dc electric field with the dust grains can alter the dispersion properties of EIC waves in a magnetized dusty plasma. Our model developed accounts for the critical drift velocity, electron-to-ion temperature ratio, magnetic field, the number density of dust grains, relative density of negatively charged dust grains, and finite gyroradius parameter. Our investigation found that normalized growth rate and frequency increase with the relative density ratio and electric field. Moreover, the critical drift velocity for the excitation of the mode with negatively charged dust grains and electron-to-ion temperature ratio has been studied, and it was found that critical drift velocity decreases with the increase in negatively charged dust grains. The impact of dust grains on the low-frequency waves has also been studied, and it was found that an increase in dust grain number density results in the reduction of growth rate. Some of our theoretical findings are consistent with the experimental observations.

The collisional study of EIC waves in a magnetized dusty plasma with the inclusion of a DC electric field

“…and it can be verified from our equation (18). Our outcome aligns with Chow and Rosenberg's theoretical conclusion [46] in the absence of an electric field and Anshu et al results in the absence of collisions [25]. = d becomes smaller than m , i leading to enhanced mobility and, consequently, an increase in the growth rate of the instability.…”

“…The analytical expressions for the real frequency and growth rate are given in equations ( 18) and (19) of the EIC waves in the presence of a transverse dc electric field If v 0 E  and 0, i e u u = = these mathematical formulations are similar to the results that Chow and Rosenberg reported in their prior works [46,55]. Moreover, we replicate the expressions of Anshu et al [25] in the absence of collisions.…”

“…Dusty plasmas are employed in plasma processing reactors for material processing and surface treatments and the results from this work could be applied to improve the performance and control of these plasma processing reactors [20,21]. EIC waves have been extensively studied using kinetic and fluid theories and their existence in laboratory plasmas has also been experimentally verified [22][23][24][25] [8,9,[26][27][28][29]. These waves have been observed across diverse environments, spanning from fusion heating experiments [30][31][32], and space plasmas to laboratory experiments [33][34][35][36][37][38].…”

“…They have observed that the frequency increases with the magnetic field strength. Anshu et al [25] studied the EIC wave in a collisionless plasma via kinetic treatment. They observe that with an inclusion of an electric field, the dispersion relation modifies and it would further affect the frequency and growth rate of the wave.…”

“…A theoretical model has not been proposed, as far as the authors are aware to study the combined effect of collision, temperature and dust in the transverse DC electric field in a dusty magnetized plasma via kinetic theory. Therefore, the present study aims to extend the existing knowledge [9,25] by investigating the collisional effects on the propagation of EIC waves in a magnetized dusty plasma with the inclusion of a DC electric field. This analysis is motivated by the need to understand the complex interplay between collisional processes, electric fields, and wave dynamics in such plasma environments.…”