Minima in phase space density and how they relate to the multi-MeV electron radiation belt depletions

A. Drozdov, H. Allison, Y. Shprits, M. Usanova, A. Saikin
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Abstract

The Earth's radiation belts include electrons over a wide energy range. The dynamics of electrons can differ significantly, depending on the energy. In comparison to ~MeV energies, multi-MeV electrons are less predictable during geomagnetic storms [1], as their population can be depleted, enhanced, or remain unchanged, with nearly equal probability [2]. The depletion of electrons can be reversible (adiabatic) or irreversible, due to wave-particle interactions and loss at the outer boundary. Nonadiabatic changes can be identified by analyzing phase space density (PSD) as a function of the three adiabatic invariants. Fast-localized losses, such as interaction with electromagnetic ion cyclotron (EMIC) waves, can produce deepening PSD minima [3]. The EMIC waves are very effective in scattering multi-MeV electrons and can create sharp gradients in pitch angle distributions, although they do not resonate with nearly equatorial mirroring electrons. The depletion of electrons in a wide range of pitch angles occurs with assistance of the hiss and chorus waves [4]. However, the local minimum in PSD may be also observed due to outward radial diffusion with either subsequent refilling of the radiation belts or local acceleration. In this case, the formation of the minima will not result in continued deepening [5].
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相空间密度的最小值及其与多兆电子伏电子辐射带损耗的关系
地球的辐射带包含了能量范围很广的电子。根据能量的不同,电子的动力学会有很大的不同。与~MeV能量相比,多MeV电子在地磁风暴期间更难以预测[1],因为它们的数量可能被耗尽、增强或保持不变,概率几乎相等[2]。由于波粒相互作用和外边界的损失,电子的耗尽可以是可逆的(绝热的)或不可逆的。非绝热变化可以通过分析相空间密度(PSD)作为三个绝热不变量的函数来识别。快速局域损失,如与电磁离子回旋波的相互作用,可产生加深的PSD极小值[3]。本位波在散射多mev电子方面非常有效,并且可以在俯仰角分布中产生尖锐的梯度,尽管它们不会与近赤道镜像电子共振。在大范围的音高角范围内,电子耗竭是在嘶嘶和合唱波的帮助下发生的[4]。然而,PSD的局部最小值也可能是由于辐射带随后的再填充或局部加速引起的向外径向扩散引起的。在这种情况下,极小值的形成不会导致继续加深[5]。
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