Alfven Instability in Charge Fluctuating Quantum Plasma

Abstract

The interest of plasma researchers has been shifted towards quantum plasma due to its abundant occurrence in space. The physical processes of the common ion-electron plasma changes to a large scale due to highly charged dust particles. This field is fascinating for researchers due to wide range of waves and instabilities. Dusty magneto plasma with number of species like ions, electrons and dust particles which are highly charged is considered. The low frequency, long wavelength electromagnetic waves, viz., Shear Alfven waves in quantum dusty magneto plasmas, has been examined using quantum magneto hydrodynamic model. The time dependent charging effects on dust particles around its equilibrium charge are taken into account. A modified dispersion relation of the shear Alfven waves by the magnetized electrons and ions and unmagnetized dust is derived. The dispersion relation is then explained by graphical representation. The external magnetic field and size of the dust particles have new physical effects over the propagation of such waves.