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

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.

12 pages, 8 figures, 1 table

References in corpus (3)

• Stickiness in a bouncer model: A slowing mechanism for Fermi acceleration
• Probability distribution functions of sub- and super-diffusive systems
• Thermodynamics of a time dependent and dissipative oval billiard: a heat transfer and billiard approach