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.

摘要

在磁化辐射等离子体的 QMHD 流体模型下对 Jeans 不稳定性的描述性探索，保留旋转和有限离子拉莫尔半径的后果。方程问题是通过使用量子磁流体动力学流体模型来制定的。一般的色散关系是使用标准模式分析通过制定线性化方程组来实现的，色散关系在磁场的横向和平行传播中得到解释。根据纵向和横向磁场中的旋转轴讨论后一种特殊情况。从数值计算中，我们观察到由于FLR校正的存在，辐射特征，量子校正和磁场的存在，Jean标准发生了变化。从图形呈现，我们发现，与简单的气态等离子体介质相比，FLR 校正与旋转、量子校正和磁场对系统的比较具有更稳定的影响。结果表明系统的增长率受FLR、旋转、磁场和量子校正的影响。