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Critical condition ...
Critical condition of the water-retention model
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- Baek, Seung Ki (author)
- Umeå universitet,Institutionen för fysik,IceLab
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- Kim, Beom Jun (author)
- Department of Physics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
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(creator_code:org_t)
- American Physical Society, 2012
- 2012
- English.
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In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. - : American Physical Society. - 1539-3755 .- 1550-2376. ; 85:3, s. 032103-
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Abstract
Subject headings
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- We study how much water can be retained without leaking through boundarieswhen each unit square of a two-dimensional lattice is randomly assigned a blockof unit bottom area but with different heights from zero to $n-1$.As more blocks are put into the system,there exists a phase transition beyond whichthe system retains a macroscopic volume of water.We locate the critical points and verify that the criticalitybelongs to the two-dimensional percolation universality class.If the height distribution can be approximated as continuous for large $n$,the system is always close to a critical point and the fraction of the areabelow the resulting water level is given by the percolation threshold.This provides a universal upper bound ofareas that can be covered by water in a random landscape.
Subject headings
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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