论文标题
少数身体问题的超级分布函数：极端价值理论的新领域
Hyperradial distribution function of few-body problems: a new arena for extreme value theory
论文作者
论文摘要
这项工作通过超球坐标中的蒙特卡洛法探索了几体系统的经典捕获模型。特别是，我们专注于范德华和带电诱导的偶极相互作用。结果，我们注意到，捕获的超放射分布函数遵循Fréchet分布，这是广义极值分布的一种特殊类型。此外，我们使用一般的极值理论详细阐述了这种普遍特征的基本原理，从而建立了极值理论与少数体物理学之间的联系。
This work explores classical capture models for few-body systems via a Monte Carlo method in hyperspherical coordinates. In particular, we focus on van der Waals and charged-induced dipole interactions. As a result, we notice that, independently of the number of particles and interparticle interaction, the capture hyperradial distribution function follows a Fréchet distribution, a special type of the generalized extreme value distribution. Besides, we elaborate on the fundamentals of such universal feature using the general extreme value theory, thus, establishing a connection between extreme value theory and few-body physics.
