Electrostatic shock structures in dissipative multi-ion dusty plasmas

Abstract

A comprehensive analytical model is introduced for shock excitations in dusty bi-ion plasma mixtures, taking into account collisionality and kinematic (fluid) viscosity. A multicomponent plasma configuration is considered, consisting of positive ions, negative ions, electrons and a massive charged component in the background (dust). The ionic dynamical scale is focused upon, thus electrons are assumed to be thermalized, while the dust is stationary. A dissipative hybrid Korteweg de Vries/Burgers (hKdV-B) equation is derived. An analytical solution is obtained, in the form of a shock structure (a step-shaped function for the electrostatic potential, or an electric field pulse) whose maximum amplitude in the far downstream region decays in time. The effect of relevant plasma configuration parameters, in addition to dissipation, is investigated. Our work extends earlier studies of ion-acoustic type shock waves in pure (two-component) bi-ion plasma mixtures.

Electrostatic wave breaking limit in a cold electronegative plasma with non-Maxwellian electrons

“…a higher value of δ ) enhances the electric field (maximum amplitude) E wb . In a picture analogous to that of Debye screening in e-i plasmas, the reason for this enhancement may lie in the increase of the Debye screening length due to the presence of negative ions in the plasma, which agrees with the outcome of linear analysis 57 . This enables higher E-field amplitudes to be reached within the extent of the Debye (shielding) sphere.…”

“…injection of a beam to accomplish plasma heating in plasma etching 18 , in material processing 19 and in fusion reactors 20 . These authors recently studied the effects of the kinematic viscosity and ion drag on electrostatic (ES) shocks in NIP 21 , while the effect of a negative ion beam in a collisionless, unmagnetized quantum ultradense plasma was studied in a subsequent study 22 ; interestingly, the coexistence of negative and positive polarity solitary structures was predicted in the latter case.…”

Martingale solution of stochastic hybrid Korteweg - de Vries - Burgers equation

“…The deterministc hybrid Korteweg -de Vries -Burgers (hKdVB for short) equation has been derived by Misra, Adhikary and Shuka [10] and Elkamash and Kourakis [5] in the context of shock excitations in multicomponent plasma. The hKdVB equation, derived in stretched coordinates ξ = ǫ In (1.1), u(ξ, τ ) represents electrostatic potential or electric field pulse in the reference frame moving with the velocity v. Indexes denote partial derivatives, that is, u τ = ∂u/∂τ , u 2ξ = ∂ 2 u/∂ξ 2 and so on.…”

“…The hKdVB equation, derived in stretched coordinates ξ = ǫ In (1.1), u(ξ, τ ) represents electrostatic potential or electric field pulse in the reference frame moving with the velocity v. Indexes denote partial derivatives, that is, u τ = ∂u/∂τ , u 2ξ = ∂ 2 u/∂ξ 2 and so on. Constants A, B, C, D are related to parameters describing properties of plasma [5,Eq. (27)].…”

“…Studies of the full generalized hybrid KdB-Burgers equation (1.1) have appeared in the physical literature only in [5,10]. Some approximate analytic solutions and several cases of numerical solutions to (1.1) were subjects of recent studies in [6].…”