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arXiv · 2201.06873

Horizontal transport in the bouncing ball system with a sawtooth-shaped table

Yudai Okishio·Hiroaki Ito·Hiroyuki Kitahata
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Abstract

The system that consists of a ball bouncing off a sawtooth-shaped table vibrating vertically is considered. The horizontal motion in this system is caused by the table shape, and we plotted the mean horizontal velocity as a function of the asymmetry of the table shape. The ball is transported in the direction which the gentler slopes face. To give a description to the net asymmetric transport, we derived a simplified model using assumptions of high bounce and probabilistic collision to the left or right slopes. The simplified model exhibits a horizontal transport qualitatively similar to that observed in the original model.

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Yudai Okishio, Hiroaki Ito, Hiroyuki Kitahata. 2022-01-18. Horizontal transport in the bouncing ball system with a sawtooth-shaped table. https://doi.org/10.1016/j.physd.2023.133754

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