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

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.

15 pages, 5 figures

References in corpus (5)

• Nonlinear collective effects in photon-photon and photon-plasma interactions
• Physics of Strongly Magnetized Neutron Stars
• Dispersive, superfluid-like shock waves in nonlinear optics
• Nonlinear wave interactions in quantum magnetoplasmas
• Nonideal strongly magnetized plasmas of neutron stars and their electromagnetic radiation

Cited by in corpus (6)

• Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
• Dust-ion-acoustic rogue waves in presence of non-extensive non-thermal electrons
• Ion-acoustic shock waves in magnetized pair-ion plasma
• Multidimensional ion-acoustic solitary waves and shocks in quantum plasmas
• Formation of dispersive shock waves in evolution of a two-temperature collisionless plasma
• Propagation and oblique collision of electron-acoustic solitons in two-electron-populated quantum plasmas