Abstract

We present analytical results for spectral line profiles of atoms and polar molecules in magnetized turbulent plasmas for the situation where the ion microfield is much smaller than both the field of the Low-frequency Electrostatic Turbulence (LET), developed along the magnetic field B, and the Lorentz field Bv/c. This situation arises, e.g., in magnetic fusion devices, solar plasmas, and white dwarfs plasmas. We obtain explicit analytical results for the line profiles in the universal form valid for any ratio p of the field of the LET and the Lorentz field and for any detuning from the unperturbed position of the spectral line. We find that the dependence of the line intensity on the ratio p at a fixed detuning is non-monotonic: as this ratio increases, the line intensity first increases, then reaches a maximum, and then decreases. For hydrogenic atoms or ions, we also provide the corresponding theoretical Stark-Lorentz profiles for the Lyman-beta, Lyman-delta, and Balmer-beta lines. From an experimental profile of the spectral line of an atom, an ion, or a polar molecule, the employment of our analytical results for the line profiles allows determining both the root-mean-square field \(F_{0}\) of the LET and the product \({\textit{BT}}^{1/2}\), where B is the magnetic field and T is the temperature.

Graphic Abstract

中文翻译：

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磁化湍流等离子体中原子和极性分子谱线的 Stark-Lorentz 分布图：分析结果

摘要

我们提供了磁化湍流等离子体中原子和极性分子谱线轮廓的分析结果，其中离子微场远小于沿磁场B发展的低频静电湍流 (LET) 场和洛伦兹场Bv/c。这种情况出现在例如磁聚变装置、太阳等离子体和白矮星等离子体中。对于 LET 场和洛伦兹场的任何比率p以及谱线未受干扰位置的任何失谐，我们获得了通用形式的线轮廓的明确分析结果。我们发现线强度对比率p的依赖性在一个固定的失谐是非单调的：随着这个比率的增加，线强度首先增加，然后达到最大值，然后减少。对于氢原子或离子，我们还提供了 Lyman-beta、Lyman-delta 和 Balmer-beta 谱线的相应理论 Stark-Lorentz 分布图。从原子、离子或极性分子谱线的实验剖面图，使用我们对谱线剖面的分析结果可以确定均方根场\(F_{0}\)的均方根场\(F_{0}\) LET 和乘积\({\textit{BT}}^{1/2}\)，其中B是磁场，T是温度。

图形摘要