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arXiv · 2208.10155

Hyperradial distribution function of few-body problems: a new arena for extreme value theory

Yu Wang·Marjan Mirahmadi·Ahmed A. Elkamshishy·Jesús Pérez-Ríos
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Abstract

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 Fr\'echet 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.

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Yu Wang, Marjan Mirahmadi, Ahmed A. Elkamshishy, Jesús Pérez-Ríos. 2022-08-22. Hyperradial distribution function of few-body problems: a new arena for extreme value theory. https://doi.org/10.1007/s00601-022-01787-5

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