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The dust-acoustic waves and their stability driven by a flowing dusty plasmawhen it cross through a static (target) dusty plasma (the so-called permeatingdusty plasma) are investigated when the components of the dusty plasma obey thepower-law q-distributions in nonextensive statistics. The frequency, the growthrate and the stability condition of the dust-acoustic waves are derived underthis physical situation, which express the effects of the nonextensivity aswell as the flowing dusty plasma velocity on the dust-acoustic waves in thisdusty plasma. The numerical results illustrate some new characteristics of thedust-acoustic waves, which are different from those in the permeating dustyplasma when the plasma components are the Maxwellian distribution. In addition,we show that the flowing dusty plasma velocity has a significant effect on thedust-acoustic waves in the permeating dusty plasma with the power-lawq-distribution.

Dust-acoustic waves and stability in the permeating dusty plasma: II. Power-law distributions