Abstract

We have studied self-gravitational instability using the two fluid model in which the important role of spin effect (due to spin quantum force and spin magnetization current) is established in highly magnetized and degenerate astrophysical environment of pulsar magnetosphere. Along with this; low frequency, high frequency modes of magnetosonic and magnetohydrodynamic waves were carried out discovering its utility in highly magnetized and degenerate astrophysical environments. The plasma is considered to be composed of degenerate electrons and non-degenerate ions and the quantum effects are incorporated via spin and diffraction effects along with the thermal effect of ions. The spin and quantum dominance are discussed analytically and numerically using the dispersion relation in parallel, perpendicular and oblique mode of propagation. The present study can be implemented on highly magnetized white dwarfs, neutron stars and pulsar magnetosphere (with strong magnetic field $B_{0} \le 10^{10}~\mbox{T}$ ) and to degenerate laboratory environments.

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