| Autor: |
Fey, Anne, Levine, Lionel, Peres, Yuval |
| Rok vydání: |
2009 |
| Předmět: |
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| Zdroj: |
J. Stat. Phys. 138, 143--159 (2010) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10955-009-9899-6 |
| Popis: |
We study the abelian sandpile growth model, where n particles are added at the origin on a stable background configuration in Z^d. Any site with at least 2d particles then topples by sending one particle to each neighbor. We find that with constant background height h <= 2d-2, the diameter of the set of sites that topple has order n^{1/d}. This was previously known only for hComment: 19 pages, 4 figures, to appear in Journal of Statistical Physics. v2 corrects the proof of the outer bound of Theorem 4.1 of arXiv:0704.0688 |
| Databáze: |
arXiv |
| Externí odkaz: |
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