A sandpile model for proportionate growth

Dhar, Deepak ; Sadhu, Tridib (2013) A sandpile model for proportionate growth Journal of Statistical Mechanics: Theory and Experiment, 2013 (11). Article ID P11006. ISSN 1742-5468

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Official URL: http://iopscience.iop.org/article/10.1088/1742-546...

Related URL: http://dx.doi.org/10.1088/1742-5468/2013/11/P11006


An interesting feature of growth in animals is that different parts of the body grow at approximately the same rate. This property is called proportionate growth. In this paper, we review our recent work on patterns formed by adding N grains at a single site in the Abelian sandpile model. These simple models show very intricate patterns which show proportionate growth, and sometimes have a striking resemblance to natural forms. We give several examples of such patterns. We discuss the special cases where the asymptotic pattern can be determined exactly. The effect of noise in the background or in the rules on the patterns is also discussed.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:112293
Deposited On:31 Jan 2018 04:29
Last Modified:31 Jan 2018 04:29

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