Retention capacity of random surfaces

We introduce a "water retention" model for liquids captured on a random surface with open boundaries and investigate the model for both continuous and discrete surface heights 0,1,…,n-1 on a square lattice with a square boundary. The model is found to have several intriguing features, incl...

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Bibliographic Details
Published in:Physical review letters 2012-01, Vol.108 (4), p.045703-045703, Article 045703
Main Authors: Knecht, Craig L, Trump, Walter, Ben-Avraham, Daniel, Ziff, Robert M
Format: Article
Language:English
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Summary:We introduce a "water retention" model for liquids captured on a random surface with open boundaries and investigate the model for both continuous and discrete surface heights 0,1,…,n-1 on a square lattice with a square boundary. The model is found to have several intriguing features, including a nonmonotonic dependence of the retention on the number of levels: for many n, the retention is counterintuitively greater than that of an (n+1)-level system. The behavior is explained using percolation theory, by mapping it to a 2-level system with variable probability. Results in one dimension are also found.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.108.045703