Retention capacity of correlated surfaces

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...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2014-06, Vol.89 (6), p.062141-062141, Article 062141
Main Authors: Schrenk, K J, Araújo, N A M, Ziff, R M, Herrmann, H J
Format: Article
Language:English
Subjects:
Models, Theoretical
Surface Properties
Water
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Summary: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.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.89.062141