Multiple luminous sheath structures develop in the localised plasma formation inside a cylindrical gridded cathode plasma source. These structures gradually expand into the whole vessel and undergo a critical state through self-organised criticality (SOC) along with pronounced sheath oscillations during the variation of anode potential. The present investigation emphasises the stability properties associated with the oscillations of the sheath potential structures in the cylindrical-gridded cathode in glow discharge regime through SOC phenomena through non-linear time series analysis. The non-linear temporal and spatial analysis of potential structure and dynamics of charged particles are correlated with SOC in cylindrical-gridded cathode in glow discharge regime through the dynamics of multiple sheath structure formations. The existence of flicker noise and long-range correlation in the time series suggests the existence of SOC behaviour in the system, the multiple sheath structures evolve through reduction and addition of layers. Cylindrical-gridded cathode discharge initiation during formations of multiple sheath structures, switching of discharge regimes with anode potential, layer reduction and addition inside the sheath structures through SOC behaviour, renders uniqueness to the present regime of investigation. Self-organised pattern formations and self-organised criticality behaviour investigated in the present glow discharge regime using the cylindrical-gridded cathode source are of prime importance to understand the complex behaviour of plasmas in the field of hollow cathode discharges.

中文翻译：

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具有网格阴极的同轴等离子体源的自组织临界性研究

在圆柱形网格阴极等离子体源内的局部等离子体形成中形成多个发光鞘结构。这些结构逐渐扩展到整个容器，并通过自组织临界 (SOC) 以及阳极电位变化期间明显的鞘层振荡经历临界状态。本研究通过非线性时间序列分析通过 SOC 现象强调了与辉光放电状态下圆柱形网格阴极中的鞘电位结构的振荡相关的稳定性特性。带电粒子的电位结构和动力学的非线性时空分析通过多个鞘结构形成的动力学与辉光放电状态下圆柱形网格阴极中的 SOC 相关联。时间序列中闪烁噪声和长程相关性的存在表明系统中存在SOC行为，多鞘结构通过减少和增加层来演变。在多个鞘结构的形成过程中，圆柱形网格阴极放电开始、通过阳极电位切换放电方式、通过 SOC 行为在鞘结构内减少层数和添加，使目前的研究方式具有独特性。在目前使用圆柱形网格阴极源的辉光放电方案中研究的自组织图案形成和自组织临界行为对于理解中空阴极放电领域中等离子体的复杂行为至关重要。