Ramaswamy, Sriram ; Krishnamurthy, H. R. ; Dhar, Sujan K. (1992) Anomalously rough sandpiles in one dimension: exact decimation results Physical Review A, 46 (4). pp. 1875-1879. ISSN 1050-2947
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Official URL: http://link.aps.org/doi/10.1103/PhysRevA.46.1875
Related URL: http://dx.doi.org/10.1103/PhysRevA.46.1875
Abstract
We categorize the possible large-scale behaviors of one-dimensional nearest-neighbor hopping "sandpile" slope models on a circle of N sites with nonconserving noise, via decimation. Defining the height at site i to be hi, we find a continuous infinity of fixed points of the decimation, parametrized by an index n (1≤n≤2) with (h0-hN/2)2~N2/n. The fixed point n=2 corresponds to our ordinary notion of a rough interface, while the others are new and far rougher.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 17636 |
| Deposited On: | 16 Nov 2010 12:57 |
| Last Modified: | 06 Jun 2011 05:57 |
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