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Geometrical Models for Grain Dynamics
Mathematics and Statistics Faculty Publications and Presentations
  • Giovani L. Vasconcelos, Universidade Federal de Pernambuco
  • J. J. P. Veerman, Portland State University
Document Type
Publication Date
  • Dynamics,
  • Granular flow -- Mathematical models,
  • Chaotic behavior in systems
We study models for the gravity-driven, dissipative motion of a single grain on an inclined rough surface. Imposing some conditions on the momentum loss due to the collisions between the particle and the surface, we arrive at a class of models in which the grain dynamics is described by one-dimensional maps. The dynamics of these maps is studied in detail. We prove the existence of various dynamical phases and show that the presence of these phases is independent of the restitution law (within the class considered).

This is the author’s 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:

* At the time of publication J.J.P. Veerman was affiliated with Georgia Institute of Technology

Persistent Identifier
Citation Information
Giovani L. Vasconcelos and J. J. P. Veerman. "Geometrical Models for Grain Dynamics" (1999)
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