Abstract
Abstract The influence of quantum plasma on Jeans instability is investigated in the presence of magnetic fields, and the dispersion relation obtained in both parallel and perpendicular directions has shown the stabilizing effect on the growth rate of Jeans instability with a moderate temperature high-density regime. The influence of the magnetic field on the Jeans criteria is illustrated through the graphical representation. The inclusion of magnetic fields with quantum effect on the motion of a charged particle involves the essential properties of acceleration and the transport of highly ionized particles is important in connection with a well-known application of the confinement of magnetized plasma. In this paper, we analytically discuss the effect of magnetic field on white dwarfs. The mass-radius relation of highly magnetized white dwarfs is different from their non-magnetic equivalent and leads to a modified super-Chandrashekhar mass limit.
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