Metastable and resonance atom densities in a positive column: I. Distinctions in diffusion and radiation transport
Metastable and resonance atom densities in a positive column: I. Distinctions in diffusion and radiation transport
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正柱中的亚稳态和共振原子密度：I. 扩散和辐射传输的区别
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
D. Uhrlandt
中科院分区：
文献类型：
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作者：
Y. Golubovskii;I. A. Porokhova;H. Lange;D. Uhrlandt
讨论了导致不同亚稳能级和共振能级的扩散输运和共振输运机制的区别。分析基于扩散方程和Holstein-Biberman方程的一致解。扩散和辐射输运算子的格林函数显示出明显不同。积分算子的格林函数接近于函数，扩散算子的格林函数呈平滑的对数递减。这两个算子的特征函数相似，但特征值差别很大。因此，亚稳原子的密度由前几个模决定，而共振原子的密度受大量高模的影响。扩散使亚稳原子远离激发区。共振原子集中在激发源附近。在有混合通道存在的情况下，考虑了扩散和辐射输运的联合影响。
The distinctions in the mechanisms of diffusive transport and resonance radiation transport leading to different population of the metastable and resonance levels are discussed. The analysis is based on a uniform solution of the diffusion equation and the Holstein–Biberman equation. The Green functions of the diffusion and radiation transport operators are shown to be markedly different. The Green function for the integral operator is close to the delta function and that for the diffusion operator shows a smooth logarithmic decrease. The eigenfunctions of the two operators are similar but the eigenvalues differ strongly. For this reason the density of the metastable atoms is determined by the first few modes and the density of the resonance atoms is influenced by a large number of higher modes. Diffusion carries the metastable atoms far out of the excitation zone. Resonance atoms are concentrated in the vicinity of the excitation source. The joint influence of diffusion and radiation transport is considered in the presence of intermixing channels on the basis of a constricted positive column of a discharge.