Dust-ion-acoustic shock waves in magnetized plasma having super-thermal electrons

TL;DR

This paper investigates dust-ion-acoustic shock waves in a magnetized plasma with super-thermal electrons, revealing how various plasma parameters influence shock wave characteristics through numerical analysis of Burgers' equation.

Contribution

It introduces a new model for DIASHWs in magnetized plasma with super-thermal electrons and analyzes the effects of multiple parameters on shock wave formation and properties.

Findings

Positive and negative shock structures are numerically observed.

Shock wave potentials increase with oblique angle.

Shock steepness decreases with plasma viscosity.

Abstract

The propagation of dust-ion-acoustic shock waves (DIASHWs) in a three-component magnetized plasma having inertialess super-thermal electrons, inertial warm positive ions and negative dust grains has been investigated. A Burgers' equation is derived by employing the reductive perturbation method. Under consideration of inertial warm positive ions and negative dust grains, both positive and negative shock structures are numerically observed in the presence of super-thermal electrons. The effects of oblique angle ($\delta$), spectral index ($\kappa$), kinematic viscosity ($\eta$), number density and charge state of the plasma species on the formation of the DIASHWs are examined. It is found that the positive and negative shock wave potentials increase with the oblique angle. It is also observed that the magnitude of the amplitude of positive and negative shock waves is not affected by the variation of the kinematic viscosity of plasma species but the steepness of the positive and negative shock waves decreases with kinematic viscosity of plasma species. The implications of our findings in space and laboratory plasmas are briefly discussed.