Higher order corrections to dust-acoustic shock waves in a strongly coupled cryogenic dusty plasma.

To investigate the contribution of higher-order nonlinearity and dissipation to nonlinear ultra-lowfrequency dust-acoustic shock waves (DASWs), a reductive perturbation technique is employed in a strongly coupled cryogenic dusty plasma. The model consists of Boltzmann distributed electrons and ions, as well as equations for strongly coupled charged dust grains. A nonlinear Burger equation and a linear inhomogeneous Burger-type equation are derived. The present model admits both compressive and rarefactive dust-acoustic (DA) shocks. Including these higher-order corrections results in creating new shock wave structures called "humped DASWs." It is shown that the effects of kinematic viscosity, the number of electrons residing on the dust grain surface, Zd and the dust number density via β have important roles in the basic features of the produced DA shocks and the associated electric fields. It has been shown that it is more important to be included. These findings are devoted to explaining the observed waves propagating in the laboratory plasma experiments at cryogenic temperature. This kind of plasma is used for etching nano-patterns without defects, used in nonideal systems and physics of nucleation to deposit nanosize Si compounds. [ABSTRACT FROM AUTHOR]