Numerous sources produce the ionization impact on the planetary atmosphere. The tropospheric cloudiness therewith is originated at such altitudes, which coincide with places of the maximum of the atmospheric ionization that caused by space radiation. Components of cosmic radiation, penetrating down to the stratospheric and tropospheric altitudes, produce in the first place the ionization of aerosols that brings to subsequent amplifying the activity of atmospheric vortices. The ionized aerosol constituent is of primary importance both in the initiation of plasma vortices and in the concentration of energy-mass by air vortices due to the humidity condensation. The ionization process is cascading, that causes the non-linear impact of penetrating rays, which amplifying with growing the air pollution. Various heterogeneities inside plasma subsystems provoke the random intensification of aperiodic electrostatic disturbances, which can exert a significant action on the development of vortices. Sometimes beaded lightning arises during thunderstorm. Using the approach of the Boltzmann kinetic equation, the characteristics of electrostatic oscillations for non-uniform plasma, are analytically derived. The analytical expressions are obtained for non-magnetized plasma. In the limits of the Earth’s atmosphere, these solutions are strictly applicable to the origination of electrostatic modulations along the lines of force of the geomagnetic field and approximately applicable in cases, when the impact of the Earth’s magnetic field is negligible. The explicit expressions are deduced both in the hot plasma approximation and in the cold plasma approximation. It is demonstrated that the formation of chain elements of discharge in hot inhomogeneous plasma is defined by the nonmonotonic distribution of charges and fields. At such conditions, the irregularities breaks up into a cellular structure.

中文翻译：

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气溶胶大气等离子体的静电干扰：串珠闪电

许多来源对行星大气产生电离影响。随之而来的对流层云量起源于这样的高度，这些高度与空间辐射引起的大气电离最大的地方重合。宇宙辐射的成分，穿透到平流层和对流层高度，首先产生气溶胶的电离，从而导致随后放大大气涡旋的活动。电离的气溶胶成分在等离子体涡流的启动和由于湿气凝结而导致的空气涡流的能量集中方面都是最重要的。电离过程是级联的，这会导致穿透射线的非线性影响，随着空气污染的增加而放大。等离子体子系统内部的各种不均匀性引起非周期性静电扰动的随机增强，这可以对涡旋的发展产生重要作用。有时在雷雨期间会出现串珠状闪电。利用玻尔兹曼动力学方程的方法，解析导出了非均匀等离子体的静电振荡特性。获得了非磁化等离子体的解析表达式。在地球大气层的范围内，这些解决方案严格适用于沿地磁场力线的静电调制的起源，并且大致适用于地球磁场的影响可以忽略不计的情况。在热等离子体近似和冷等离子体近似中都推导出显式表达式。结果表明，热非均匀等离子体中放电链元素的形成是由电荷和场的非单调分布定义的。在这种情况下，不规则处会分解成蜂窝状结构。