Fluctuations (Physics), Transport theory, Dynamics
A simple model for a granular ratchet corresponding to a single grain bouncing off a vertically vibrating sawtooth-shaped base is studied. Depending on the model parameters, horizontal transport is observed in both the preferred and unfavoured directions. A phase diagram is presented indicating the regions in parameter space where the different regimes (no current, normal current, and current reversal) occur.
Bae, Albert J.; Morgado, Welles Antonio Martinez; Veerman, J. J. P.; and Vasconcelos, Giovani L., "Single-Particle Model for a Granular Ratchet" (2002). Mathematics and Statistics Faculty Publications and Presentations. 139.