2005
DOI: 10.1063/1.1906087
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Dust-acoustic shock waves: Effect of plasma density gradient

Abstract: The propagation of dust-acoustic shock waves in an inhomogeneous collisional dusty plasma is studied, where the equilibrium plasma densities and dust charges are spatially nonuniform but the dust density is uniform. It is shown that, in such a plasma, the dust charge density can change continuously from tenuous to dense state. The effect of collisions of the dust with neutral gas causes the damping of the amplitude, while collisionless dissipation arising from nonadiabatic dust charge variation results in the … Show more

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Cited by 20 publications
(9 citation statements)
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“…Figure 2 shows the time evolution of the potential , ion velocity V i , as well as ion density perturbation N i − N i0 with respect to X. The amplitude of the shock front increases as it propagates due to the effect of inhomogeneity [8], and an oscillatory tail begins to develop in the upstream side of the shock at the time T = 20. The oscillatory tail is not caused by the spurious numerical oscillations, but is due to the effect of dispersion of the steep shock front.…”
Section: Propagation In Hyperbolically Decreasing-density Plasmamentioning
confidence: 99%
See 1 more Smart Citation
“…Figure 2 shows the time evolution of the potential , ion velocity V i , as well as ion density perturbation N i − N i0 with respect to X. The amplitude of the shock front increases as it propagates due to the effect of inhomogeneity [8], and an oscillatory tail begins to develop in the upstream side of the shock at the time T = 20. The oscillatory tail is not caused by the spurious numerical oscillations, but is due to the effect of dispersion of the steep shock front.…”
Section: Propagation In Hyperbolically Decreasing-density Plasmamentioning
confidence: 99%
“…As in the neutral gas case, nonlinear acoustic wave structures, such as shocks and solitons, can exist in such plasmas. This has attracted much theoretical investigation nowadays [5][6][7][8], and two types of acoustic waves were founded on different time scales. An ultra-low-frequency electrostatic acoustic-like mode called a dust-acoustic (DA) wave involving the dust hydrodynamics was first theoretically predicted by Rao et al [9].…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, studies like, void formation [14][15][16] , phase co-existence 29 , phase transition 7,30 , effect of spatial inhomogeneity of dust density on the dynamics of dust particles etc. cannot be investigated with few dust particles in the crystal 31,32 .…”
Section: Introductionmentioning
confidence: 99%
“…However, in an experimental situation, the presence of density inhomogeneity is likely to be significant when one performs experiments in a large sized dusty plasma medium. In the literature there exist a very limited number of theoretical works devoted to the study of shock waves propagating in an inhomogeneous plasma medium 18,19 . They show that due to the presence of inhomogeneities in the plasma density, the relationships between amplitude, width and Mach number of shock waves deviate significantly from those obtained in a homogeneous medium.…”
Section: Introductionmentioning
confidence: 99%