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Relaxation Oscillations in Model Sandpiles

1993/09/17 by Joshua E. S. Socolar, J. E. S. Socolar, Socolar, J. E. S. +2
Earth and Planetary Sciences · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Seismic Imaging and Inversion Techniques #Theoretical and Computational Physics #cond-mat #earthquake and tectonic studies

paper · pdf · doi:10.48550/arxiv.cond-mat/9309025

10 pages plus 5 figures included, REVTEX, DUKE-CNCS-93-08-003

arxiv created 1993/09/17 · openalex publication_date 1993/09/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a simple one-dimensional sandpile model that undergoes relaxation oscillations. A single model can account for self-organized critical behavior and relaxation oscillations, depending on the manner in which it is driven, mirroring the experimental situation for real sandpiles. The relaxation oscillations are robust with respect to minor modifications of the avalanche rules, including the application of probabilistic rules.

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