Dust ion-acoustic shocks in quantum dusty pair-ion plasmas

TL;DR

This paper investigates dust ion-acoustic shocks in a quantum dusty pair-ion plasma, considering effects of viscosity, quantum tunneling, and charge separation, revealing conditions for different shock structures with relevance to astrophysical and laser plasmas.

Contribution

It introduces a comprehensive model for dust ion-acoustic shocks in quantum dusty pair-ion plasmas, incorporating quantum effects and dissipation, and analyzes shock structures depending on key parameters.

Findings

Small amplitude shocks governed by KdVB equation exhibit oscillatory or monotonic behavior.

Large amplitude shocks occur at Mach numbers above a critical value.

Quantum parameter H and density ratios significantly influence shock profiles.

Abstract

The formation of dust ion-acoustic shocks (DIASs) in a four-component quantum plasma whose constituents are electrons, both positive and negative ions and immobile charged dust grains, is studied. The effects of both the dissipation due to kinematic viscosity and the dispersion caused by the charge separation as well as the quantum tunneling due to the Bohm potential are taken into account. The propagation of small but finite amplitude dust ion-acoustic waves (DIAWs) is governed by the Korteweg-de Vries-Burger (KdVB) equation which exhibits both oscillatory and monotonic shocks depending not only on the viscosity parameters, but also on the quantum parameter H (the ratio of the electron plasmon to the electron Fermi energy) and the positive to negative ion density ratio. Large amplitude stationary shocks are recovered for a Mach number exceeding its critical value. Unlike the small amplitude shocks, quite a smaller value of the viscosity parameter, H and the density ratio may lead to the large amplitude monotonic shock strucutres. The results could be of importance in astrophysical and laser produced plasmas.