锯齿形台面弹跳球系统中的水平输运
Horizontal transport in the bouncing ball system with a sawtooth-shaped table
AI总结：
针对垂直振动锯齿形台面弹跳球系统的水平输运问题，推导了基于高弹跳与概率碰撞假设的简化模型，验证其输运特性与原模型定性一致，揭示了台面形状不对称性对水平输运方向的影响规律。
摘要：
本文研究了由小球在垂直振动的锯齿形台面上弹跳构成的系统。该系统的水平运动由台面形状引发，我们绘制了平均水平速度随台面形状不对称性变化的函数关系。小球会沿较缓斜坡朝向的方向输运。为描述这种净不对称输运，我们利用高弹跳假设以及小球与左、右斜坡发生概率性碰撞的假设，推导了一个简化模型。该简化模型展现出的水平输运特性与原模型中观测到的结果在定性上相似。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
