Pattern formation in growing sandpiles

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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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
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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