Dust-acoustic shock excitations in κ-nonthermal electron depleted dusty plasmas

Abstract

A theoretical investigation on the characteristics of dust-acoustic shock waves (DASHWs) in an unmagnetized multi-ion dusty plasma has been made both theoretically and analytically. The plasma medium is assumed to compose of arbitrarily charged inertial dusts, Boltzmann distributed negatively charged heavy ions, positively charged light ions, and superthermal (excess energetic) electrons (where superthermality is modelled via the κ-distribution). The reductive perturbation technique is employed in order to derive the nonlinear time evolution Burgers type equation. The basic properties of DASHWs are analysed via the solution of Burgers equation. It is observed that different plasma parameters (electrons superthermality, dust temperature, ion temperature, dust kinematic viscosity, etc.) influence the propagation of DASHWs. Both polarity (positive and negative potential) shock waves are also found to exists. The study of our model under consideration is helpful for explaining the propagation of DASHWs in space observations, where superthermal electrons and Maxwellian ions are accountable.