论文标题

带有锯齿状桌子的弹跳球系统中的水平运输

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

论文作者

Okishio, Yudai, Ito, Hiroaki, Kitahata, Hiroyuki

论文摘要

考虑了一个由球从锯状桌子上弹起的球垂直振动的系统。该系统中的水平运动是由表形状引起的,我们绘制了平均水平速度作为表格不对称的函数。球朝着较温和的斜坡面向的方向运输。为了对净不对称传输进行描述,我们使用高弹跳和概率碰撞的假设得出了一个简化的模型。简化的模型表现出与原始模型中观察到的水平运输的质量相似。

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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