Shock waves in a rotating non-Maxwellian magnetized dusty plasma

TL;DR

This paper develops a theoretical model to analyze dust acoustic shock waves in a viscous, magnetized, rotating dusty plasma with superthermal electrons and ions, deriving a nonlinear equation for different dust activity states.

Contribution

It introduces a comprehensive theoretical framework using the Zakharov--Kuznetsov equation for rotating, magnetized dusty plasma with superthermal particles, considering both active and inactive dust scenarios.

Findings

Viscosity significantly influences shock dissipation.

Magnetic field and rotation induce dispersion in shock propagation.

Superthermality affects shock wave formation.

Abstract

A theoretical model is presented to study characteristics of dust acoustic shock in a viscous, magnetized and rotating dusty plasma at both fast and slow time scales. By employing reductive perturbation technique the nonlinear Zakharov--Kuznetsov (ZK) equation has been derived for both cases when dust is inactive and dynamic (fast and slow time scales). Both electrons and ions are considered to follow kappa/Cairns distribution. It is observed that the viscosity in both cases when dust is in background and active plays as a key role in dissipation for the propagation of acoustic shock. Magnetic field and rotation are responsible for the dispersive term. Superthermality has been found to affect significantly on the formation of shock wave along with viscous nature of plasma. The present investigation may be beneficial to understanding the rotating plasma in particular experiments being carried out.