两组两点、两组一点和一组两点情况下方差-均值费曼α公式的一般解析解（提交给欧洲物理杂志Plus）
A general analytical solution for the variance-to-mean Feynman-alpha formulas for a two-group two-point, a two-group one-point and a one-group two-point cases (submitted to The European Physical Journal Plus)
摘要：
本文给出了在两个能量群和两个空间区域处理下的方差-均值或费曼-α公式的完整推导。推导是基于查普曼-柯尔莫戈罗夫方程，包括所有可能的中子反应和通过两个区域之间的强度。此外，两群一区和两区一群费曼α公式，在文献中处理的特殊情况下，被扩展到进一步的类型和位置的检测器。我们专注于使用这些理论的可能性加速器驱动的系统和应用在保障领域，如差分自询问方法和差分消亡方法。这是由于目前使用的模型的预测不能完全描述强烈反射的快速或热系统中的所有影响。最后，对两群两区、两群一区、一群两区和一群一区Feynman-alpha模型进行了比较研究。
英文摘要：
This paper presents a full derivation of the variance-to-mean or Feynman-alpha formula in a two energy group and two spatial region-treatment. The derivation is based on the Chapman - Kolmogorov equation with the inclusion of all possible neutron reactions and passage intensities between the two regions. In addition, the two-group one-region and the two-region one-group Feynman-alpha formulas, treated earlier in the literature for special cases, are extended for further types and positions of detectors.We focus on the possibility of using these theories for accelerator-driven systems and applications in the safeguards domain, such as the differential self-interrogation method and the differential die-away method. This is due to the fact that the predictions from the models which are currently used do not fully describe all the effects in the heavily reflected fast or thermal systems. Therefore, in conclusion a comparative study of the two-group two-region, the two-group one-region, the one-group two-region and the one-group one-region Feynman-alpha models is discussed.
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