An extension and further development of our previous article [J. Non-equilibrium Thermodyne. 37 (2012), 119–141] is presented. We study the irreversible non-equilibrium thermodynamics (INT) properties of the exact solution to the dilute homogeneously charged gas problem with unsteady Rayleigh flow. In contrast to previous research, the charged gas flows under the influence of an external force, the flat plate oscillates, and the displacement current term is considered, leading to significant advancements in understanding natural plasma dynamics. We are solving the Boltzmann kinetic equation (BKE) Krook model supplemented by Maxwell’s equations. We used a travelling wave and moments method with an electron velocity distribution function (EVDF). To the best of our knowledge, as three new scientific achievements, we introduced a new mathematical model for calculating the thermodynamic forces, kinetic coefficients, and fluxes variables, Equations (28–40) and (50–54). Second, we determined, with reasonable accuracy, the thermodynamic equilibrium time of electrons, t equ = 26.7955, under an external force. We clarify the difference between equilibrium EVDF and perturbed EVDF and take advantage of BKE to account for non-equilibrium thermodynamic principles. For diamagnetic and paramagnetic plasmas, the extended Gibbs equation predicts ratios between various contributions to the internal energy change (IEC) is presented. A standard laboratory argon plasma model is used to apply the results.

中文翻译：

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动力学和热力学方法精确求解外力影响下稀薄均质带电气体的非定常瑞利流动问题


我们上一篇文章的延伸和进一步发展[J.非平衡热差。 37 (2012), 119–141] 提出。我们研究了非稳态瑞利流稀均匀带电气体问题精确解的不可逆非平衡热力学 (INT) 性质。与之前的研究相比，带电气体在外力的影响下流动，平板振荡，并且考虑了位移电流项，从而在理解自然等离子体动力学方面取得了重大进展。我们正在求解玻尔兹曼动力学方程 (BKE) Krook 模型，并辅以麦克斯韦方程组。我们使用带有电子速度分布函数 (EVDF) 的行波和矩方法。据我们所知，作为三项新的科学成就，我们引入了一种新的数学模型来计算热力学力、动力学系数和通量变量，即方程（28-40）和（50-54）。其次，我们以合理的精度确定了外力作用下电子的热力学平衡时间 t equ = 26.7955。我们阐明了平衡 EVDF 和扰动 EVDF 之间的差异，并利用 BKE 来解释非平衡热力学原理。对于反磁和顺磁等离子体，提出了扩展的吉布斯方程，预测了对内部能量变化 (IEC) 的各种贡献之间的比率。使用标准实验室氩等离子体模型来应用结果。