Dust acoustic shock waves in two-component dusty plasma

Abstract

The effect of electron-dust collision on small-amplitude nonlinear dust acoustic (DA) waves in two-component thermal dusty plasma consisting of positively charged (due to thermionic emission) dust grains and electrons has been investigated incorporating the nonadiabaticity of dust-charge variation arising due to delays in the dust charging, i.e. due to small nonzero values of ωpd/νch, where ωpd is the dust-plasma frequency and νch is the dust-charging frequency. The propagation of small-amplitude DA waves is governed by a modified Korteweg-de Vries-Burger equation in which the Burger term arising due to the charge delay induced dissipation. Numerical investigations reveal that this equation has a shock-wave solution. Numerical investigations also reveal that in the absence of collision-induced dissipation the charge-delay-induced dissipation also causes the generation of a DA shock wave in two-component dusty plasma.