1997/10/15 by Matteo Marsili, Paolo De Los Rios, Sergei Maslov · 1 citation
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Data Visualization and Analytics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.80.1457
published as Phys. Rev. Lett. 80, 1457 (1998). · 5 pages, 2 ps-figures icluded
arxiv created 1997/10/15 · openalex publication_date 1998/02/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We study a recently proposed equation for the avalanche distribution in the Bak-Sneppen model. We demonstrate that this equation indirectly relates \ensuremathτ, the exponent for the power law distribution of avalanche sizes, to D, the fractal dimension of an avalanche cluster. We compute this relation numerically and approximate it analytically up to the second order of expansion around the mean-field exponents. Our results are consistent with Monte Carlo simulations of the Bak-Sneppen model in one and two dimensions.