Fractals in the Critical Attractor of the Classical Sandpile Model
Year: 2025
Type: article
Abstract: The classical sandpile model for self-organized criticality is analyzed with deterministic perturbations. This allows us to explore underlying long-range correlations in the critical attractor and quantify these as the fractal dimension of excitable sites and the fractal dimension of avalanche termination sites. The fractal of highly excitable sites, characterized by a dimension of 1.3, is associated with the avalanches responsible for most of the relaxations in the system. Furthermore, the fractal dimension of these highly excitable sites suggests a scaling exponent for avalanche sizes of 1.26, consistent with earlier literature.
Source: Physical Review Letters
Authors: Marcus Engsig, Kim Sneppen
Institutions: University of Copenhagen, Technology Innovation Institute
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4410158674