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cond-mat1994★ 30 cited
Breakdown of Simple Scaling in Abelian Sandpile Models in One Dimension
Agha Afsar Ali, Deepak Dhar
We study the abelian sandpile model on decorated one dimensional chains. We determine the structure and the asymptotic form of distribution of avalanche-sizes in these models, and…
cond-mat1994★ 83 cited
Algebraic Aspects of Abelian Sandpile Models
D. Dhar, P. Ruelle, S. Sen +1
The abelian sandpile models feature a finite abelian group generated by the operators corresponding to particle addition at various sites. We study the canonical decomposition…