Volume 85, Number 4, February 2009
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|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: firstname.lastname@example.org
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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