Sandpile models and random walkers on finite lattices

Yehiel Shilo*, Ofer Biham

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


A study was conducted on the abelian sandpile models and random-walk models on finite square lattices with open boundaries. The avalanche size distribution of the sandpile models, as well as the distributions of the lengths of the random-walk paths were calculated using various methods. It was shown that, due to the conservation laws, the averages <n> of the avalanche size distributions of the deterministic and stochastic models were the same, and that they were both equal to the average length of the random-walk paths starting from random sites on the same lattice.

Original languageAmerican English
Article number066102
Pages (from-to)066102/1-066102/8
JournalPhysical Review E
Issue number6 2
StatePublished - Jun 2003


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