| Issue |
EPL
Volume 85, Number 4, February 2009
|
|
|---|---|---|
| Article Number | 48002 | |
| Number of page(s) | 6 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/85/48002 | |
| Published online | 05 March 2009 | |
Pattern formation in growing sandpiles
Department of Theoretical Physics, Tata Institute of Fundamental Research 1 Homi Bhaba Road, Mumbai 400005 India
Corresponding author: tsadhu@gmail.com
Received:
1
January
2009
Accepted:
3
February
2009
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 
. We give exact characterization of the asymptotic pattern, in terms of the position and shape of different features of the pattern.
PACS: 89.75.Kd – Complex systems: Patterns / 45.70.Cc – Static sandpiles; granular compaction
© EPLA, 2009
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