The effect of rotation, porosity and finite ion Larmor radius (FLR) corrections on the gravitational instability and radiative instability of infinite homogeneous plasma has been explored, accounting for the consequences of radiative heat-loss function and thermal conductivity. The general dispersion relation is obtained by means of the normal mode analysis method with the help of appropriate linearized perturbation equations of the problem. This dispersion relations is further reduced for rotation axis parallel and perpendicular to the magnetic field. The stability of the medium is argued for by the Routh-Hurwitz criterion and it is found that the Jeans criterion establishes the stability of the medium. We acknowledge that the presence of the radiative heat-loss function and thermal conductivity modifies the fundamental Jeans criterion of gravitational instability into a radiative instability criterion. Numerical computations have been executed to show the effect of various parameters on the growth rate of the Jeans gravitational instability. We find that rotation, FLR corrections and medium porosity stabilize the growth rate as regards the structure in both the transverse mode and longitudinal mode or propagation. Our result demonstrates that the rotation, porosity and FLR corrections affect the dense molecular cloud configuration and star formation.

中文翻译：

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具有辐射热损失函数和流动通过多孔介质的 FLR 校正的旋转等离子体的 Jeans 不稳定性

已经探索了旋转、孔隙率和有限离子拉莫尔半径 (FLR) 校正对无限均匀等离子体的引力不稳定性和辐射不稳定性的影响，并解释了辐射热损失函数和热导率的后果。一般的色散关系是通过常模分析方法，借助问题的适当线性化微扰方程得到的。对于平行和垂直于磁场的旋转轴，这种色散关系进一步减小。Routh-Hurwitz 准则论证了介质的稳定性，并且发现 Jeans 准则建立了介质的稳定性。我们承认，辐射热损失函数和热导率的存在将重力不稳定性的基本 Jeans 准则修改为辐射不稳定性准则。已执行数值计算以显示各种参数对牛仔裤重力不稳定性增长率的影响。我们发现旋转、FLR 校正和中等孔隙率稳定了横向模式和纵向模式或传播中结构的增长率。我们的结果表明旋转、孔隙度和 FLR 校正会影响密集的分子云配置和恒星形成。我们发现旋转、FLR 校正和中等孔隙率稳定了横向模式和纵向模式或传播中结构的增长率。我们的结果表明旋转、孔隙度和 FLR 校正会影响密集的分子云配置和恒星形成。我们发现旋转、FLR 校正和中等孔隙率稳定了横向模式和纵向模式或传播中结构的增长率。我们的结果表明旋转、孔隙度和 FLR 校正会影响密集的分子云配置和恒星形成。