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

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 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.

15 pages, 6 Figures, 1 table. Submitted to the journal Few-Body Systems

References in corpus (3)

• Cold chemistry: a few-body perspective on impurity physics of a single ion in an ultracold bath
• On the formation of van der Waals complexes through three-body recombination
• Classical threshold law for the formation of van der Waals molecules

Cited by in corpus (2)

• Three-body recombination in physical chemistry
• Ion-atom-atom three-body recombination: from the cold to the thermal regime