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

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