The stability of the weakly ionized plasma and the transition from a stable homogeneous discharge to unstable filaments play an important role in gas laser physics, plasma-assisted combustion, chemical reforming, and material synthesis. Theoretical stability analysis and thermal-chemical mode analysis were performed to understand the mechanism of plasma thermal-chemical instability by using a zero-dimensional plasma system with both simplified and detailed chemical kinetics of H₂/O₂/N₂ mixtures. The plasma dynamic and kinetic models accounted for multiple physical mechanisms in the chemically-reactive weakly ionized plasma, including ionization, attachment/detachment, recombination, vibrational and electronic energy relaxation, convective and diffusive species/heat removal, Joule heating, and detailed chemical kinetics. An analytical criterion and the explosive mode species/temperature pointers were formulated while the representative active species were identified for different thermal-chemical modes. The results showed that in addition to the classical thermal-ionization mechanism, various chemical modes from chemical heat imbalance and elementary kinetics significantly modified the time dynamics and the stability of the weakly ionized plasma. The present analysis provides insights and guidance to control plasma instability using chemical kinetics.

弱电离等离子体的稳定性以及从稳定均匀放电到不稳定灯丝的转变在气体激光物理、等离子体辅助燃烧、化学重整和材料合成中起着重要作用。通过使用具有简化和详细 H ₂ /O ₂ /N ₂化学动力学的零维等离子体系统，进行了理论稳定性分析和热化学模式分析，以了解等离子体热化学不稳定性的机制混合物。等离子体动力学和动力学模型解释了化学反应弱电离等离子体中的多种物理机制，包括电离、附着/分离、复合、振动和电子能量弛豫、对流和扩散物质/热量去除、焦耳加热和详细的化学动力学. 制定了分析标准和爆炸模式物种/温度指标，同时确定了不同热化学模式的代表性活性物种。结果表明，除了经典的热电离机制外，来自化学热失衡和元素动力学的各种化学模式显着改变了弱电离等离子体的时间动力学和稳定性。