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

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The problem of a bouncing ball on a nonplanar surface is investigated. We discovered that surface undulation adds a horizontal component to the impact force, which acquires a random character.… Click to show full abstract

The problem of a bouncing ball on a nonplanar 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 superdiffusion are observed. For the probability density's functional form, a scaling hypothesis is presented.

Keywords: diffusion bouncing; bouncing ball; surface; anomalous diffusion; normal anomalous

Journal Title: Physical review. E
Year Published: 2022

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