Dhar, Deepak ; Sadhu, Tridib ; Chandra, Samarth (2009) Pattern formation in growing sandpiles Europhysics Letters, 85 (4). 48002_1-48002_6. ISSN 0295-5075
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Official URL: http://epljournal.edpsciences.org/articles/epl/abs...
Related URL: http://dx.doi.org/10.1209/0295-5075/85/48002
Abstract
Adding grains at a single site on a flat substrate in the Abelian sandpile models produces beautiful complex patterns. We study in detail the pattern produced by adding grains on a two-dimensional square lattice with directed edges (each site has two arrows directed inward and two outward), starting with a periodic background with half the sites occupied. The model shows proportionate growth and the size of the pattern formed by adding N grains scales as √N . We give exact characterization of the asymptotic pattern, in terms of the position and shape of different features of the pattern.
Item Type: | Article |
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Source: | Copyright of this article belongs to EDP Sciences. |
ID Code: | 9365 |
Deposited On: | 02 Nov 2010 12:21 |
Last Modified: | 16 May 2016 19:11 |
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