The kinetic theory of a low-voltage beam discharge instability in He is developed in the conditions, when the distance between electrodes is of the order of electron–atom collision length and the density of electrons in a primary beam is up to ten percent of the plasma density. The dispersion equation and its numerical and analytical solutions are obtained. The stability loss of this discharge is described in the framework of the problem with initial and boundary conditions. A significant dispersion is found in the propagation of harmonic disturbances in this system. On the basis of the developed theory, the areas of applicability of the hydrodynamic approach to the consideration of the system “cold electron beam - cold plasma” are elucidated. The theory significantly expands the range of parameters of the electron beam–plasma system, where a quantitative description of the spatial and temporal dynamics of wave propagation in such a system is possible. In the well-known special cases, such as a “weak electron beam - cold plasma,” the results obtained coincide with the data of other authors.

中文翻译：

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稀有气体中低压束放电不稳定性的动力学理论

He 中低压束放电不稳定性的动力学理论是在电极之间的距离为电子 - 原子碰撞长度的数量级并且初级束中的电子密度高达 10% 的条件下发展起来的。等离子体密度。得到了色散方程及其数值解和解析解。这种放电的稳定性损失在具有初始和边界条件的问题的框架中描述。在该系统中谐波干扰的传播中发现了显着的分散。在已发展的理论的基础上，阐明了流体动力学方法在考虑“冷电子束-冷等离子体”系统时的适用领域。该理论显着扩展了电子束-等离子体系统的参数范围，在这种系统中，可以对波传播的空间和时间动态进行定量描述。在众所周知的特殊情况下，例如“弱电子束-冷等离子体”，得到的结果与其他作者的数据一致。