In this paper, the effect of particle trapping in a three-component plasma sheath model has been investigated analytically. The behavior of plasma sheath is studied with cold fluid ions, trapped/vortex-like hot electrons and cold q-nonextensive electrons. The trapped hot electrons follow Schamel’s vortex-like distribution. A modified Bohm sheath criterion and a sheath width equation have been analytically derived. It is seen that the thickness of the sheath explicitly depends on q-nonextensivity parameter, Bohm velocity, cold electron fraction, temperature and densities of cold and hot electrons; while the Bohm velocity depends on nonextensive parameter, fraction of cold electrons, temperature and densities of cold and hot electrons. It is observed that as the electron nonextensivity as well as fraction of cold electron increases, the Bohm velocity decreases and also the sheath width decreases. As the ratio between hot electrons temperature to cold electrons temperature increases, the Bohm velocity increases and the sheath thickness also increases. The increasing values of the ratio of cold electrons to hot electrons concentration results in the decrease of sheath width.

中文翻译：

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包含 Tsallis 分布电子的三分量等离子体鞘模型中粒子俘获的影响

在本文中，对三分量等离子体鞘层模型中粒子捕获的影响进行了分析研究。等离子体鞘的行为用冷流体离子、俘获/涡旋状热电子和冷 q 非延展电子进行研究。被捕获的热电子遵循 Schamel 的涡旋分布。修正的玻姆护套准则和护套宽度方程已经通过分析推导出来。可以看出，鞘层的厚度明显取决于 q-nonextensivity 参数、Bohm 速度、冷电子分数、温度和冷热电子密度；而玻姆速度取决于非延展性参数、冷电子的比例、冷热电子的温度和密度。据观察，随着电子非延展性以及冷电子比例的增加，玻姆速度减小，鞘宽度也减小。随着热电子温度与冷电子温度之间的比率增加，玻姆速度增加并且鞘层厚度也增加。冷电子与热电子浓度比值的增加导致鞘层宽度减小。