Addendum: Thermodynamic quasi-equilibria in high power magnetron discharges: a generalized Poisson–Boltzmann relation (2023 Plasma Sources Sci. Technol. 32 055012)

Kevin Köhn, Dennis Krüger, Denis Eremin, Liang Xu and Ralf Peter Brinkmann
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引用次数: 0

Abstract

A recent publication by Köhn et al (2023 Plasma Sources Sci. Technol.32 055012) studied the quasi-equilibria of high power magnetron discharges through thermodynamic principles. A generalized, magnetic-field aware Poisson–Boltzmann relation for the electric potential and the electron density was established using a non-standard (multi-objective) variational principle. This addendum demonstrates that, assuming slow or quasistatic evolution, the same result can be realized via a standard (single-objective) variational principle, thereby streamlining the theoretical framework while preserving the robustness of the finding.
增编:大功率磁控管放电中的热力学准平衡:广义泊松-波尔兹曼关系(2023 等离子体源科学与技术 32 055012)
Köhn 等人最近发表的论文(2023 Plasma Sources Sci. Technol.32 055012)通过热力学原理研究了大功率磁控管放电的准平衡。利用非标准(多目标)变异原理,建立了电势和电子密度的广义磁场感知泊松-波尔兹曼关系。本增编证明,假设演化缓慢或准静态,同样的结果可以通过标准(单目标)变分法原理实现,从而简化了理论框架,同时保留了结论的稳健性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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