PMID: 11308955Apr 20, 2001Paper

Effect of nonadiabaticity of dust charge variation on dust acoustic waves: generation of dust acoustic shock waves

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M R GuptaM Khan

Abstract

The effect of nonadiabaticity of dust charge variation arising due to small nonzero values of tau(ch)/tau(d) has been studied where tau(ch) and tau(d) are the dust charging and dust hydrodynamical time scales on the nonlinear propagation of dust acoustic waves. Analytical investigation shows that the propagation of a small amplitude wave is governed by a Korteweg-de Vries (KdV) Burger equation. Notwithstanding the soliton decay, the "soliton mass" is conserved, but the dissipative term leads to the development of a noise tail. Nonadiabaticity generated dissipative effect causes the generation of a dust acoustic shock wave having oscillatory behavior on the downstream side. Numerical investigations reveal that the propagation of a large amplitude dust acoustic shock wave with dust density enhancement may occur only for Mach numbers lying between a minimum and a maximum value whose dependence on the dusty plasma parameters is presented.

References

May 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R K VarmaV Krishan
Nov 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M R JanaP K Kaw
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Citations

Sep 3, 2016·The Journal of the Acoustical Society of America·T G LeightonP R White
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A A Mamun
Oct 2, 2009·Physical Review Letters·J HeinrichR L Merlino
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Mannan, A A Mamun
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mustapha BachaPadma Kant Shukla
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Samiran GhoshManis Chaudhuri
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Samiran GhoshM R Gupta
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Samiran GhoshM R Gupta

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