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The Abelian sandpile model on the honeycomb lattice

Azimi Tafreshi, N ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1088/1742-5468/2010/02/P02004
  3. Publisher: 2010
  4. Abstract:
  5. We check the universality properties of the two-dimensional Abelian sandpile model by computing some of its properties on the honeycomb lattice. Exact expressions for unit-height correlation functions in the presence of boundaries and for different boundary conditions are derived. Also, we study the statistics of the boundaries of avalanche waves by using the theory of SLE and suggest that these curves are conformally invariant and described by SLE 2
  6. Keywords:
  7. Conformal field theory ; Correlation functions ; Sandpile models (theory) ; Self-organized criticality (theory)
  8. Source: Journal of Statistical Mechanics: Theory and Experiment ; Volume 2010, Issue 2 , 2010 ; 17425468 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1088/1742-5468/2010/02/P02004/meta