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
Full text not available from this repository.
Official URL: http://iopscience.iop.org/article/10.1088/1742-546...
Related URL: http://dx.doi.org/10.1088/1742-5468/2013/11/P11006
Abstract
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 |
Repository Staff Only: item control page
