Gravitational Drift Instability in Quantum Dusty Plasmas

Abstract

The dispersion relation of electrostatic waves due to multi-drifts is studied in an ambient magnetic field across three-species quantum dusty plasmas. The quantum hydrodynamic model is applied to analyze the effects of the Lorentz and the gravitational forces. It is found that the instability is excited mainly due to the \({\mathbf{E}_{0}}\times{\mathbf{B}_{0}}\) drift of the plasma species. However, an additional \({\mathbf{g}_{0}}\times{\mathbf{B}_{0}}\) drift associated with dust particles enhances the instability over a wide spectrum of wavevector. The role of a varying magnetic field and the number density of electrons in the wave instability are analyzed graphically. It is noticed that these factors have a significant contribution over the drift instability.

Landau Quantised Modification of Rayleigh–Taylor Instability in Dense Plasmas

“…It is well known that quantum plasma has the properties of high particle number density and low temperature compared to classical plasmas, and therefore are associated with a de Broglie length longer than the inter-particle distance. Such plasmas are characterised by the Fermi pressure associated with degeneracy, where all quantum states are fully occupied below a certain level, tunnelling potential, exchange-correlation potential, and Landau quantisation [15,16]. A recognised fact of moving either orbital-like gyro or spinning electrons is the magnetic field induction and the associated moment along the axis of gyration.…”