Abstract

The nonlinear propagation of dust-acoustic (DA) shock waves in three-component unmagnetized dusty plasma consisting of nonextensive electrons, Maxwellian ions and arbitrarily charged mobile dust grain has been investigated. It is found that the presence of q-nonextensive electrons and ions can change the nonlinear behavior of shock wave. The standard reductive perturbation method is employed to study the basic features (phase speed, amplitude and width) of DA shock waves (DASWs) which are significantly modified by the presence of Maxwellian ions and nonextensive electrons. The present investigation can be very effective for understanding the nonlinear characteristics of the DASWs in space and laboratory dusty plasmas.

Highlights

  • The wave propagation in dusty plasmas has received much attention in the recent years because of its vital role in understanding different types of collective processes in space plasma environments, namely, lower and upper mesossphere, cometary tails, planetary rings, planetary magnetosphere, interplanetary spaces, interstellar media, etc. [1] [2]

  • Dust grains may become positively charged due to a variety of processes including photo-electron emission by UV photons, thermoionic emission induced by radiative heating [5] [7], secondary electron production, etc

  • In this paper, we have presented a more generalized theoretical investigation on the properties of DA shock waves (DASWs) in a multi-species dusty plasma system consisting of arbitrarily charged cold mobile dust fluid, positively charged ions following Maxwellian distributions, and nonextensive electrons

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Summary

Introduction

The wave propagation in dusty plasmas has received much attention in the recent years because of its vital role in understanding different types of collective processes in space plasma environments, namely, lower and upper mesossphere, cometary tails, planetary rings, planetary magnetosphere, interplanetary spaces, interstellar media, etc. [1] [2]. Arbitrarily (negatively or positively) charged dust is found to exist in most space and a laboratory dusty plasma system [5]. Negative ions are found to be an extra component (which may occur naturally or may be injected form external sources) in most space [16] or laboratory dusty plasmas [3]. Shahmansouri and Tribeche [19] have studied the DA shock waves in a charged varying dusty plasma with nonextensive ions as well as electrons. In this paper, we have presented a more generalized theoretical investigation on the properties of DA shock waves (DASWs) in a multi-species dusty plasma system consisting of arbitrarily charged cold mobile dust fluid, positively charged ions following Maxwellian distributions, and nonextensive electrons.

Governing Equations
Derivation of Burgers Equation
Numerical Analysis
Discussion
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