Flowing Sand: A Physical Realization of Directed Percolation

Haye Hinrichsen, Andrea Jiménez-Dalmaroni, Yadin Rozov, and Eytan Domany
Phys. Rev. Lett. 83, 4999 – Published 13 December 1999
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Abstract

We introduce and investigate a simple model to describe recent experiments by Douady and Daerr on flowing sand. The model reproduces experimentally observed compact avalanches, whose opening angle decreases linearly as a threshold is approached. On large scales the model exhibits a crossover from compact directed percolation to directed percolation; we predict similar behavior for the experimental system. We estimate the regime where “true” directed percolation morphology and exponents will be observed, providing the first experimental realization for this class of models.

  • Received 9 August 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.4999

©1999 American Physical Society

Authors & Affiliations

Haye Hinrichsen1, Andrea Jiménez-Dalmaroni2,3, Yadin Rozov2, and Eytan Domany2

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
  • 2Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
  • 3University of Oxford, Department of Physics-Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, United Kingdom

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Vol. 83, Iss. 24 — 13 December 1999

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