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Single-Particle Model for a Granular Ratchet
Mathematics and Statistics Faculty Publications and Presentations
  • Albert J. Bae, Portland State University
  • Welles Antonio Martinez Morgado, Pontifı́cia Universidade Católica do Rio de Janeiro
  • J. J. P. Veerman, Portland State University
  • Giovani L. Vasconcelos, Universidade Federal de Pernambuco
Document Type
Publication Date
  • 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.


This is the author’s pre-print version of a work that was accepted for publication in Physica A: Statistical Mechanics and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication.

A definitive version was subsequently published in Physica A: Statistical Mechanics and its Applications and can be found online at:

Persistent Identifier
Citation Information
Albert J. Bae, Welles Antonio Martinez Morgado, J. J. P. Veerman and Giovani L. Vasconcelos. "Single-Particle Model for a Granular Ratchet" (2002)
Available at: