Effect of Bohm potential and magnetohydrodynamic wave propagation in Fermi degenerate quantum plasma

Abstract

In this paper we have investigated the simultaneous effects of Bohm potential and electron spin on the low frequency magnetohydrodynamic (MHD) wave propagation in dense Fermi degenerate quantum plasma. The elementary ideal about quantum collision process in quantum plasma is also discussed. The quantum magnetohydrodynamic (QMHD) model is modified and a general dispersion relation is obtained using the plane wave approximation for the considered system. This dispersion relation is reduced for the parallel and perpendicular modes of propagations. We find that the quantum Bohm potential is coupled with the Alfven mode in perpendicular propagation but in the parallel mode of propagation the dispersion relation is unaffected due to the presence of magnetic field. From the curves we find that increase in Alfven velocity and sound velocity increases the frequency of the perturbations.

MHD waves with Landau diamagnetic pressure and Pauli paramagnetizim in degenerate plasmas

“…The spin dependence of cyclotron decay due to strong magnetic field has been investigated by Baring et al [33] and the propagation of EM waves in strongly magnetized quantum plasmas has been dealt by Brodin et al in [34] and Hu et al in [35]. Similarly Marklund, Brodin and Garai in [36][37][38] have proposed the spin-1/ 2 quantum MHD (QMHD) models for MHD and oblique MHD waves. Linear and non linear propagation of kinetic Alfven and inertial Alfvén waves with effects of spin magnetization and exchangecorrelation potential have been investigated in [39,40].…”