Dust acoustic shock waves in magnetized dusty plasma

Abstract

We have presented a theoretical study of the dust acoustic (DA) shock structures in a magnetized, electron depleted dusty plasma in the presence of two temperature superthermal ions. By deriving a Korteweg-de Vries-Burgers equation and studying its shock solution, we aim to highlight the effects of magnetic field and obliqueness on various properties of the DA shock structures in the presence of kappa-distributed two temperature ion population. The present model is motivated by the observations of Geotail spacecraft in the Earthʼs magnetotail and it is seen that the different physical parameters such as superthermality of the cold and hot ions, the cold to hot ion temperature ratio, the magnetic field strength, obliqueness and the dust kinematic viscosity greatly influence the dynamics of the shock structures so formed. The results suggest that the variation of superthermalities of the cold and hot ions have contrasting effects on both positive and negative polarity shock structures. Moreover, it is noted that the presence of the ambient magnetic field affects the dispersive properties of the medium and tends to make the shock structures less wide and more abrupt. The findings of present investigation may be useful in understanding the dynamics of shock waves in dusty plasma environments containing two temperature ions where the electrons are significantly depleted.

Large-amplitude dust inertial Alfvén waves in an electron-depleted dusty plasma

“…in magnetised/unmagnetised space dusty plasmas in the framework of reductive 0123456789(). : V,-vol perturbation approach and Sagdeev pseudopotential method [10][11][12][13][14][15][16][17][18][19]. Due to the large size of the dust grains, electrons can stick to the dust grain surface.…”

Dust-acoustic envelope solitons in an electron depleted plasma

“…However, the minimum value of n e0 /n i0 > m e /m i for T e ≈ T i , where m e (T e ) is the electron mass (temperature). The process of electron depletion has been identified by laboratory experiments and space observations, and successively has been considered by many researchers [33,34,35,36,37] to study the effects of the electron depletion in modifying the electrostatic potential structure in DPM. Sahu and Tribeche [1] examined the non-planar DA shock waves (DASHWs) in an electron depleted DPM (ED-DPM) in presence of non-extensive ions, and found that the DA solitons may exhibit rarefaction and compression for q > 0 and q < 0, respectively.…”

“…Shahmansouri and Alinejad [6] analyzed DA solitary waves (DASWs) in a magnetized EDDPM. Ghai et al [34] reported a theoretical analysis on the DASHW structure regarding an electron depleted plasma system. Shahmansouri and Tribeche [35] studied the DA double-layers and DASWs in EDDPM having two temperature super-thermal ions.…”

Formation of highly nonlinear dust-acoustic solitary waves due to high-temperature electrons and ions

“…Spacecraft and satellite observations revealed the fact the charged particles in astrophysical and space environments are very far from the thermodynamic equilibrium due to their extremely high temperature and low densities. These high energetic plasma particles follow the non-Maxwellian distribution like generalized Lorentzin distribution (kappa distribution) [24,25]. The density of high energetic plasma particles like electrons following superthermal kappa distribution can be given by [26,27] where is called the spectral index parameter, and if → ∞ , this distribution goes to Maxwellian distribution.…”