2003/12/31 by Rahul Karmakar, R. Karmakar, S. S. Manna +2 · 1 citation
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Geological formations and processes #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.94.088002
published as Phys. Rev. Lett, 94, 088002 (2005) · 5 Revtex pages, 4 figures
openalex publication_date 2005/03/04 · arxiv created 2005/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A single sandpile model with quenched random toppling matrices captures the crucial features of different models of self-organized criticality. With symmetric matrices avalanche statistics falls in the multiscaling Bak-Tang-Wiesenfeld universality class. In the asymmetric case the simple scaling of the Manna model is observed. The presence or absence of a precise toppling balance between the amount of sand released by a toppling site and the total quantity the same site receives when all its neighbors topple once determines the appropriate universality class.