Toppling distributions in one-dimensional Abelian sandpiles

Ruelle, Philippe;Sen, S
(1992) Journal of Physics A: Mathematical and General — Vol. 25, n° 22, p. L1257-L1264 (1992)

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We consider toppling distributions for the Abelian sandpile model in one dimension. We study the avalanche mass and duration distributions in the thermodynamic limit. We also investigate their dependence on the seeding distribution, which describes how sand is dropped. None of the models shows criticality.
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Ruelle, P., & Sen, S. (1992). Toppling distributions in one-dimensional Abelian sandpiles. Journal of Physics A: Mathematical and General, 25(22), L1257-L1264. https://doi.org/10.1088/0305-4470/25/22/006 (Original work published 1992)