Year: 2001
Type: article
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 D(//)=7/4, tau=10/7 in two dimensions and D(//)=3/2, tau=4/3 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 D(//)=2, tau=3/2.
Authors: Morten Kloster, Sergei Maslov, Chao Tang
Institutions: Princeton University, Brookhaven National Laboratory
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2068346235