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.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevLett.108.045703DOI Listing

Publication Analysis

Top Keywords

retention capacity
4
capacity random
4
random surfaces
4
surfaces introduce
4
introduce "water
4
"water retention"
4
retention" model
4
model liquids
4
liquids captured
4
captured random
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!