Abstract
In this paper, characteristics of small amplitude nonlinear dust acoustic wave have been investigated in a unmagnetized, collisionless, Lorentzian dusty plasma where electrons and ions are inertialess and modeled by generalized Lorentzian Kappa distribution. Dust grains are inertial and equilibrium dust charge is negative. Both adiabatic and nonadiabatic fluctuation of charges on dust grains have been taken under consideration. For adiabatic dust charge variation reductive perturbation analysis gives rise to a KdV equation that governs the nonlinear propagation of dust acoustic waves having soliton solutions. For nonadiabatic dust charge variation nonlinear propagation of dust acoustic wave obeys KdV-Burger equation and gives rise to dust acoustic shock waves. Numerical estimation for adiabatic grain charge variation shows the existence of rarefied soliton whose amplitude and width varies with grain charges. Amplitude and width of the soliton have been plotted for different electron Kappa indices keeping ion velocity distribution Maxwellian. For non adiabatic dust charge variation, ratio of the coefficients of Burger term and dispersion term have been plotted against charge fluctuation for different kappa indices. All these results approach to the results of Maxwellian plasma if both electron and ion kappa tends to infinity.
Highlights
Dust grains exist in a wide range of space and astrophysical plasmas like cometary tails, interstellar clouds, earth’s mesosphere, ionosphere, Saturn’s ring, the gossamer ring of Jupiter, and in laboratory experiments.[1,2] Interaction of these dust grains with plasma environment alter the collective plasma behavior and gives birth of new kind of waves
Our main objective of this paper is to study the effects of suprathermal particles i) on amplitude and width of dust acoustic soliton when grain charge fluctuation is adiabatic and ii) on the nature of dust acoustic shock wave when grain charge fluctuation is nonadiabatic
Study of wave characteristics in Lorentzian dusty plasma is an important area of dusty plasma research
Summary
Dust grains exist in a wide range of space and astrophysical plasmas like cometary tails, interstellar clouds, earth’s mesosphere, ionosphere, Saturn’s ring, the gossamer ring of Jupiter, and in laboratory experiments.[1,2] Interaction of these dust grains with plasma environment alter the collective plasma behavior and gives birth of new kind of waves. In this paper we are interested to study nonlinear propagation of dust acoustic waves in a Lorentzian dusty plasma with effect of grain charge fluctuation. Such grain charge fluctuation may be of adiabatic or nonadiabatic type. For nonadiabatic dust charge variation nonlinear propagation of Dust Acoustic Wave is governed by KdV-Burger equation which possesses shock solution. Numerical study in this case shows that in Lorentzian dusty plasma dust acoustic shock wave is dissipation dominated upto certain value of normalized grain charge number and dispersion dominated thereafter.
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