Abstract

In this paper we have investigated the effect of ion nonthermality on nonlinear dust acoustic wave propagation in a complex plasma in presence of weak secondary electron emission from dust grains. Equilibrium dust charge in this case is negative. Dusty plasma under our consideration consists of inertialess nonthermal ions, Boltzman distributed primary and secondary electrons and negatively charged inertial dust grains. Both adiabatic and nonadiabatic dust charge variations have been taken into account. Our analysis shows that in case of adiabatic dust charge variation, at a fixed non-zero ion nonthermality increasing secondary electron emission decreases amplitude and increases width of the rarefied dust acoustic soliton whereas for a fixed secondary electron yield increasing ion nonthermality increases amplitude and decreases width of such rarefied dust acoustic soliton. Thus shape of the soliton may be retained if strength of both the secondary electron yield and the ion nonthermality are increased. Nonadiabatic dust charge variation shows that, at fixed non-zero ion nonthermality, increasing secondary electron emission suppresses oscillation of oscillatory dust acoustic shock at weak nonadiabaticity and pronounces monotonicity of monotonic dust acoustic shock at strong nonadiabaticity. On the other hand at a fixed value of the secondary electron yield, increasing ion nonthermality enhances oscillation of oscillatory dust acoustic shock at weak nonadiabaticity and reduces monotonicity of monotonic dust acoustic shock at strong nonadiabaticity. Thus nature of dust acoustic shock may also remain unchanged if both secondary electron yield and ion nonthermality are increased.

Highlights

  • Dusty plasma has become an important field of plasma research since the last decade of the twentieth century

  • In this paper we have investigated the effect of ion nonthermality on nonlinear dust acoustic wave propagation in a complex plasma in presence of weak secondary electron emission from dust grains

  • For studying the effect of ion nonthermality on nonlinear one dimensional dust acoustic wave propagation in a complex plasma in presence of weak secondary electron emission we have considered a plasma consisting of inertialess nonthermal ions, Boltzman distributed primary and secondary electrons and negatively charged inertial dust grains satisfying the quasineutrality condition nio = neo + nso + zd 0nd 0

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Summary

Introduction

Dusty plasma has become an important field of plasma research since the last decade of the twentieth century. Nonlinear evolution of dust acoustic and dust ion acoustic waves in presence of adiabatic and non adiabatic dust charge variation were studied earlier by several authors considering grain charging by the flow of plasma current [14]-[23] Effect of both weak (negative equilibrium dust charge) and strong (positive equilibrium dust charge) secondary electron emission in this nonlinear evolution process were later investigated with Boltzmann distributed electrons and ions [12] [13]. Our present investigation shows that in case of nonadiabatic dust charge variation for negative equilibrium dust charge, at fixed non zero ion nonthermality increasing secondary electron emission suppresses oscillation of oscillatory dust acoustic shock at weak nonadiabaticity and pronounces monotonicity of monotonic dust acoustic shock at strong nonadiabaticity.

Formulation of the Problem
Reductive Perturbation Analysis
Numerical Estimation
Conclusions
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