Year: 1997
Type: article
Abstract: We introduce and study a new directed sandpile model with threshold dynamics and stochastic toppling rules. We show that the particle conservation law and the directed percolationlike local evolution of avalanches lead to the formation of a spatial structure in the steady state, with the density developing a power-law tail away from the top. We determine the scaling exponents characterizing the avalanche distributions in terms of the critical exponents of directed percolation in all dimensions.
Source: Physical Review Letters
Authors: Bosiljka Tadić, Deepak Dhar
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2088477276