Article ; Online: Directed Abelian sandpile with multiple downward neighbors.
2016 Volume 93, Page(s) 42107
Abstract: We study the directed Abelian sandpile model on a square lattice, with K downward neighbors per site, K>2. The K=3 case is solved exactly, which extends the earlier known solution for the K=2 case. For K>2, the avalanche clusters can have holes and side ... ...
Abstract | We study the directed Abelian sandpile model on a square lattice, with K downward neighbors per site, K>2. The K=3 case is solved exactly, which extends the earlier known solution for the K=2 case. For K>2, the avalanche clusters can have holes and side branches and are thus qualitatively different from the K=2 case where avalanche clusters are compact. However, we find that the critical exponents for K>2 are identical with those for the K=2 case, and the large-scale structure of the avalanches for K>2 tends to the K=2 case. |
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Language | English |
Publishing date | 2016-04 |
Publishing country | United States |
Document type | Journal Article |
ZDB-ID | 2844562-4 |
ISSN | 2470-0053 ; 2470-0045 |
ISSN (online) | 2470-0053 |
ISSN | 2470-0045 |
DOI | 10.1103/PhysRevE.93.042107 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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