Dust-Acoustic Shockwaves in Nonthermal Dusty Plasmas With Two Population Ions

Abstract

A rigorous theoretical investigation has been made on dust-acoustic (DA) shock structures in an unmagnetized dusty plasma system whose constituents are negatively charged cold mobile dust fluid, electrons following Boltzmann distribution, and positively charged ions of two distinct temperatures following nonextensive (q) and nonthermal distributions, respectively. In this paper, the Burgers' equation has been derived by employing reductive perturbation technique which is valid for small but finite amplitude limit. It is observed that both the nonextensive and nonthermal ions of two distinct temperatures and dust kinematic viscosity significantly modify the basic properties (amplitudes, width, and polarities) of the DA shockwaves (DASHWs). The effects of low (high) temperature ions following nonextensive (nonthermal) and dust kinematic viscosity on DASHWs are examined both analytically and numerically. The implications of these results to some astrophysical environments and space plasmas (e.g., stellar polytropes, peculiar velocity distributions of galaxies, and collisionless thermal plasma), and laboratory dusty plasma systems are briefly mentioned. IndexTerms-Dust-acoustic shockwaves (DASHWs), nonthermal ions, two-temperature ions.

Generation of rogue waves in space dusty plasmas

“…Sometimes, highly energetic inertialess particles in space and laboratory plasmas move very fast, due to external force field and wave-particle interaction, compared to their thermal velocity. Such kind of highly energetic inertialess particles are governed by the non-extensive q−distribution function [6,7,5,8,9,10,11,12]. A number of authors have studied various nonlinear waves in plasma medium by considering q−distributed inertialess plasma species.…”

Dust acoustic shock waves in magnetized dusty plasma

“…Shock waves are assumed to give rise to cosmic rays by accelerating charged particles in the Universe and hence, understanding the shock structures gives crucial insights into various astrophysical phenomena. In the past several decades, shock structures have been investigated in different types of plasma environments by many authors in the framework of Korteweg-de Vries-Burgers (KdV-B) [1][2][3][4][5], Burgers [6,7] and modified Burgers equation [8].…”

“…Shahmansouri [5] derived a KdV-B equation for the DIAWs in a magnetized complex plasma consisting of inertial fluid ions, kappa distributed electrons and negatively charged dust grains while considering the dissipation due to dust charge fluctuation effects and further discussed the dynamics of shock waves. In another study, a theoretical investigation of DA shock waves in an unmagnetized dusty plasma containing negatively charged mobile dust fluid, electrons obeying Boltzmann distribution and two temperature ions obeying q-nonextensive and nonthermal distribution was performed [7].…”

Low-frequency shock waves in a magnetized superthermal dusty plasma

“…A large number of investigations have been reported for the study of shock structures in plasmas both theoretically [15,[17][18][19][20][21][22] and experimentally [23][24][25][26]. Dust acoustic shock waves for two temperature ions in unmagnetized dusty plasma were investigated by Zhang and Wang [17].…”

“…El-Hanbaly et al [21] derived the modified KdVBurgers equation in a dusty plasma consisting of Boltzmann-distributed electrons and trapped ions obeying vortex-like distribution and studied the shock solution in a dissipative space plasma. Recently, Tansim et al [22] have studied dust acoustic shock waves in a four-component unmagnetized dusty plasma consisting of cold dust fluid, Boltzmann-distributed electrons and two temperature ions obeying q-nonextensive and Cairns distribution respectively. They have studied the combined effects of both nonextensive and nonthermal distribution of ions on the properties of dust acoustic shocks.…”