The flux of energetic electrons in the outer radiation belt shows a high variability. The interactions of electrons with very low frequency (VLF) chorus waves play a significant role in controlling the flux variation of these particles. Quantifying the effects of these interactions is crucially important for accurately modeling the global dynamics of the outer radiation belt and to provide a comprehensive description of electron flux variations over a wide energy range (from the source population of 30 keV electrons up to the relativistic core population of the outer radiation belt). Here, we use a synthetic chorus wave model based on a combined database compiled from the Van Allen Probes and Cluster spacecraft VLF measurements to develop a comprehensive parametric model of electron lifetimes as a function of L‐shell, electron energy, and geomagnetic activity. The wave model takes into account the wave amplitude dependence on geomagnetic latitude, wave normal angle distribution, and variations of wave frequency with latitude. We provide general analytical formulas to estimate electron lifetimes as a function of L‐shell (for L  = 3.0 to L  = 6.5), electron energy (from 30 keV to 2 MeV), and geomagnetic activity parameterized by the A E index. The present model lifetimes are compared to previous studies and analytical results and also show a good agreement with measured lifetimes of 30 to 300 keV electrons at geosynchronous orbit.

中文翻译：

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基于Van Allen探针和簇VLF测量的外辐射带电子寿命模型。

外部辐射带中的高能电子通量显示出高可变性。电子与极低频（VLF）合唱波的相互作用在控制这些粒子的通量变化中起着重要作用。量化这些相互作用的影响对于准确地建模外部辐射带的整体动力学并提供广泛能量范围（从30 keV电子的源种群到相对论性核种群）中的电子通量变化的全面描述至关重要。外部辐射带）。在这里，我们使用基于Van Allen Probes和Cluster Spacecraft VLF测量值汇编的组合数据库的合成合唱波模型，来开发电子寿命与L壳，电子能量，和地磁活动。波浪模型考虑了波浪幅度对地磁纬度的依赖性，波浪法向角分布以及波浪频率随纬度的变化。我们提供了一般的分析公式来估算作为L壳函数的电子寿命（对于L  = 3.0到L  = 6.5），电子能量（从30 keV到2 MeV）和由A E指数参数化的地磁活动。将本模型的寿命与先前的研究和分析结果进行了比较，并且还显示出与地球同步轨道上测得的30至300 keV电子的寿命有很好的一致性。