The aim of this paper is to investigate the effects of a rotating ion beam on the temperature gradient instability (TGI) in completely ionized plasmas. The interplay of the temperature and density gradients provide the basis for experiencing an unstable inhomogeneous plasma medium due to TGI taken under consideration. The density and temperature gradients are considered perpendicular to the magnetic field where a non-relativistic rotating ion beam such as O${}^{+}$ is present. By implementing the kinetic theory together with zero order approximation of geometrical optics, the dielectric permittivity tensor of the inhomogeneous plasma is obtained where by a suitable linear eikonal equation, the growth rate of the TGI in the collisional regime is calculated in the presence of a rotating ion beam. In such a configuration an unstable condition is experienced in regions with opposite electron density and temperature gradients, where it is destabilized by the temperature and plasma density gradients and the frequent electron collisions. As a consequence, the results reveal that the TGI can be damped or modified through interaction with the rotating ion beam depending on the characteristics of the ion beam, namely velocity and density.

中文翻译：

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旋转离子束对完全电离等离子体中温度梯度不稳定性的影响

本文的目的是研究旋转离子束对完全电离等离子体中温度梯度不稳定性（TGI）的影响。温度和密度梯度的相互作用为经历不稳定的非均质血浆介质提供了基础，这是由于考虑了TGI而引起的。密度和温度梯度被认为垂直于磁场，在该磁场中非相对论旋转离子束（例如O）${}^{+}$存在。通过将动力学理论与几何光学的零阶近似一起实施，可以获得非均质等离子体的介电常数张量，其中通过合适的线性电子方程，在存在旋转的情况下计算碰撞条件下TGI的增长率离子束。在这样的配置中，在具有相反的电子密度和温度梯度的区域中经历了不稳定的条件，在不稳定的条件下，温度和等离子体密度梯度以及频繁的电子碰撞使不稳定的状态变得不稳定。结果，结果表明，取决于离子束的特性，即速度和密度，可以通过与旋转的离子束相互作用来抑制或修改TGI。