Advective transport in the percolation backbone in two dimensions

Jean-Raynald de Dreuzy, Philippe Davy, and Brian Berkowitz
Phys. Rev. E 64, 056305 – Published 24 October 2001
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Abstract

We show that, in the case of advective transport on the percolation backbone, the relevant structure below the correlation length is an ensemble of tortuous paths, rather than the classical links-nodes-blobs system. These paths are embedded in the few largest blobs that dominate the structure of the backbone. We find numerically that the mean particle displacement differs from the prediction given by classical finite-size scaling arguments. We also show that because of the complex velocity distribution between the paths, the mean first-passage time of the particles cannot be inferred directly from the mean particle displacement.

  • Received 11 June 2001

DOI:https://doi.org/10.1103/PhysRevE.64.056305

©2001 American Physical Society

Authors & Affiliations

Jean-Raynald de Dreuzy1,2, Philippe Davy1, and Brian Berkowitz2

  • 1Géosciences Rennes, UMR 6118 CNRS, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France
  • 2Environmental Sciences, Weizmann Institute of Science, 76100 Rehovot, Israel

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Vol. 64, Iss. 5 — November 2001

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