Normal and anomalous diffusion in a bouncing ball over an irregular surface
Chaotic Dynamics
2023-05-03 v2
Abstract
The problem of a bouncing ball on a non-planar surface is investigated. We discovered that surface undulation adds a horizontal component to the impact force, which acquires a random character. Some aspects of Brownian motion are found in the horizontal distribution of the particle. On the x-axis, normal and super diffusion are observed. For the probability density's functional form, a scaling hypothesis is presented.
Cite
@article{arxiv.2301.00275,
title = {Normal and anomalous diffusion in a bouncing ball over an irregular surface},
author = {Ana Laura Boscolo and Valdir Barbosa da Silva Junior and Luiz Antonio Barreiro},
journal= {arXiv preprint arXiv:2301.00275},
year = {2023}
}
Comments
12 pages, 8 figures, 1 table