Journal of Statistical Physics

, Volume 98, Issue 5–6, pp 1149–1168 | Cite as

Flowing Sand—A Possible Physical Realization of Directed Percolation

  • Haye Hinrichsen
  • Andrea Jiménez-Dalmaroni
  • Yadin Rozov
  • Eytan Domany


A simple model for flowing sand on an inclined plane is introduced. The model is related to recent experiments by Douady and Daerr and reproduces some of the experimentally observed features. Avalanches of intermediate size appear to be compact, placing the critical behavior of the model into the universality class of compact directed percolation. On very large scales, however, the avalanches break up into several branches, leading to a crossover from compact to ordinary directed percolation. Thus, systems of flowing granular matter on an inclined plane could serve as a first physical realization of directed percolation.

directed percolation nonequilibrium phase transitions sandpiles 


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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Haye Hinrichsen
    • 1
  • Andrea Jiménez-Dalmaroni
    • 2
    • 3
  • Yadin Rozov
    • 2
  • Eytan Domany
    • 2
  1. 1.Max-Planck-Institut für Physik komplexer SystemeDresdenGermany
  2. 2.Department of Physics of Complex SystemsWeizmann Institute of ScienceRehovotIsrael
  3. 3.Department of Physics-Theoretical PhysicsUniversity of OxfordOxfordUnited Kingdom

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