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Dust-ion-acoustic shock waves due to dust charge fluctuation. (English) Zbl 1228.76198

Summary: A dusty plasma system containing Boltzmann electrons, mobile ions and charge fluctuating stationary dust has been considered. The nonlinear propagation of the dust-ion-acoustic waves in such a dusty plasma has been investigated by employing the reductive perturbation method. It has been shown that the dust charge fluctuation is a source of dissipation and is responsible for the formation of the dust-ion-acoustic shock waves. The basic features of such dust-ion-acoustic shock waves have been identified. The implications of our results in space and laboratory dusty plasmas are discussed.

MSC:

76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76T15 Dusty-gas two-phase flows
76Q05 Hydro- and aero-acoustics
76L05 Shock waves and blast waves in fluid mechanics
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