Abstract
We introduce and analytically solve a directed sandpile model with stochastic toppling rules. The model clearly belongs to a different universality class from its counterpart with deterministic toppling rules, previously solved by Dhar and Ramaswamy. The critical exponents are in two dimensions and in one dimension. The upper critical dimension of the model is three, at which the exponents apart from logarithmic corrections reach their mean-field values
- Received 5 June 2000
DOI:https://doi.org/10.1103/PhysRevE.63.026111
©2001 American Physical Society