Relevance of Abelian symmetry and stochasticity in directed sandpiles
We provide a comprehensive view of the role of Abelian symmetry and stochasticity in the universality class of directed sandpile models, in the context of the underlying spatial correlations of metastable patterns and scars. It is argued that the relevance of Abelian symmetry may depend on whether t...
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| Published in: | Physical review letters Vol. 101; no. 21; p. 218001 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
United States
21-11-2008
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| Online Access: | Get full text |
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| Summary: | We provide a comprehensive view of the role of Abelian symmetry and stochasticity in the universality class of directed sandpile models, in the context of the underlying spatial correlations of metastable patterns and scars. It is argued that the relevance of Abelian symmetry may depend on whether the dynamic rule is stochastic or deterministic, by means of the interaction of metastable patterns and avalanche flow. Based on the new scaling relations, we conjecture critical exponents for an avalanche, which is confirmed reasonably well in large-scale numerical simulations. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ISSN: | 0031-9007 1079-7114 |
| DOI: | 10.1103/PhysRevLett.101.218001 |