Influence of FLR correction on Jeans instability in rotating radiative QMHD fluid model

Abstract

ABSTRACT The descriptive exploration of Jeans instability under the QMHD fluid model for magnetized radiative plasma, preserving the consequences of rotation and finite ion Larmor radius. The problem of equations is formulated by using the quantum magnetohydrodynamic fluid model. The general dispersion relations were achieved using a standard mode analysis by formulating a linearized equation set and the dispersion relations are explained in the transverse and parallel propagations of the magnetic field. Those latter particular situations are discussed in the light of the axis of rotation in the longitudinal and transverse magnetic field. From the numerical calculation, we observe that Jean's criteria are changed due to the existence of FLR corrections, the feature of radiation, quantum correction, and magnetic field. From the graphical presentation, we find that the effect of FLR correction with rotation, quantum correction, and the magnetic field is a more stabilizing impact on comparing the system than the simple gaseous plasma medium. The result demonstrates that the system's growth rate is affected by FLR, rotation, magnetic field, and quantum correction.