Document Detail


Retention capacity of random surfaces.
MedLine Citation:
PMID:  22400865     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
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.
Authors:
Craig L Knecht; Walter Trump; Daniel Ben-Avraham; Robert M Ziff
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Publication Detail:
Type:  Journal Article     Date:  2012-01-25
Journal Detail:
Title:  Physical review letters     Volume:  108     ISSN:  1079-7114     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2012 Jan 
Date Detail:
Created Date:  2012-03-09     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  045703     Citation Subset:  IM    
Affiliation:
691 Harris Lane, Gallatin, Tennessee 37066, USA.
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