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arXiv · 2301.00275

Normal and anomalous diffusion in a bouncing ball over an irregular surface

Ana Laura Boscolo·Valdir Barbosa da Silva Junior·Luiz Antonio Barreiro
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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.

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Ana Laura Boscolo, Valdir Barbosa da Silva Junior, Luiz Antonio Barreiro. 2022-12-31. Normal and anomalous diffusion in a bouncing ball over an irregular surface. https://doi.org/10.1103/physreve.107.045001

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