Abstract
Low beta plasma system is chosen for the study of low frequency electromagnetic Shear Alfven waves exhibiting dynamical charging of micron/sub micron size dust particles. A semi classical Quantum Hydrodynamic Model (QHD) is employed which includes the quantum effects for plasma electrons in the terms of statistical degenerate pressure, Landau quantization, exchange-correlation potential, and tunneling potential. The low beta plasma characteristics provides the opportunity for the usage of two potential theory in order to derive a complex equation of dispersion of the shear Alfven wave in quantum dusty magneto plasmas. Analytical simplification of dispersion equation provides the damping rate of the Shear Alfven wave which is verified graphically for a typical set of parameters. It is noticed that the damping rate depends upon the quantum properties of Landau quantization, exchange-correlation, and tunneling potential in addition to the dust radius which modifies the floating potential of the dust particles. This work may seek its applications in the astrophysical objects in general, and in the semiconductor laboratory plasmas for particular dust size and magnetic field.
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