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25 April 2024
 
  » arxiv » 1110.6166

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Retention capacity of random surfaces
Craig L. Knecht ; Walter Trump ; Daniel ben-Avraham ; Robert M. Ziff ;
Date 27 Oct 2011
AbstractWe introduce a "water retention" model for liquids captured on a random surface with open boundaries, and investigate it 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 non-monotonic dependence of the retention on the number of levels in the discrete case: 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.
Source arXiv, 1110.6166
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