Simple Explanation for the Observed Power Law Distribution of Line Intensity in Complex Many-Electron Atoms
Simple Explanation for the Observed Power Law Distribution of Line Intensity in Complex Many-Electron Atoms
复制标题
复杂多电子原子中观测到的线强度幂律分布的简单解释
DOI：
10.1103/physrevlett.124.185002
复制
发表时间：
2020
影响因子：
8.6
通讯作者：
Berengut Julian C.
中科院分区：
文献类型：
--
作者：
Fujii Keisuke;Berengut Julian C.
长期以来，人们观察到，来自多电子原子的弱线的数量遵循强度的幂律分布。虽然计算机模拟再现了这种依赖性，但其起源尚未澄清。在这里，我们报告说，两个统计模型的组合指数增加的水平密度的许多电子原子和局部热平衡的激发态人口产生一个令人惊讶的简单的分析解释这种幂律依赖。我们发现幂律指数与电子温度成正比。这种依赖性可以提供一个有用的诊断工具，提取复杂原子的等离子体的温度，而不需要指定线。
It has long been observed that the number of weak lines from many-electron atoms follows a power law distribution of intensity. While computer simulations have reproduced this dependence, its origin has not yet been clarified. Here we report that the combination of two statistical models—an exponential increase in the level density of many-electron atoms and local thermal equilibrium of the excited state population—produces a surprisingly simple analytical explanation for this power law dependence. We find that the exponent of the power law is proportional to the electron temperature. This dependence may provide a useful diagnostic tool to extract the temperature of plasmas of complex atoms without the need to assign lines.