Retention capacity of correlated surfaces

K. J. Schrenk, N. A. M. Araújo, R. M. Ziff, and H. J. Herrmann
Phys. Rev. E 89, 062141 – Published 30 June 2014

Abstract

We extend the water retention model [C. L. Knecht et al., Phys. Rev. Lett. 108, 045703 (2012)] to correlated random surfaces. We find that the retention capacity of discrete random landscapes is strongly affected by spatial correlations among the heights. This phenomenon is related to the emergence of power-law scaling in the lake volume distribution. We also solve the uncorrelated case exactly for a small lattice and present bounds on the retention of uncorrelated landscapes.

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  • Received 9 March 2014

DOI:https://doi.org/10.1103/PhysRevE.89.062141

©2014 American Physical Society

Authors & Affiliations

K. J. Schrenk1,*, N. A. M. Araújo1,†, R. M. Ziff2,‡, and H. J. Herrmann1,3,§

  • 1Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093, Zurich, Switzerland
  • 2Center for the Study of Complex Systems and Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2136, USA
  • 3Departamento de Física, Universidade Federal do Ceará, 60451-970, Fortaleza, Ceará, Brazil

  • *jschrenk@ethz.ch
  • nuno@ethz.ch
  • rziff@umich.edu
  • §hans@ifb.baug.ethz.ch

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Vol. 89, Iss. 6 — June 2014

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