Hyperradial distribution function of few-body problems: a new arena for extreme value theory
arXiv:2208.10155 · doi:10.1007/s00601-022-01787-5
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.
arXiv comment15 pages, 6 Figures, 1 table. Submitted to the journal Few-Body Systems
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