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KIAM Preprint  70, Moscow, 2023
Authors: Podlazov A.V.
Solution of the one-dimensional self-organized critical Oslo model
Abstract:
I study the Oslo model a one-dimensional conservative strictly isotropic self-organized critical sandpile model. I obtain a complete analytical solution for it, and I also present confirming simulation results. The solution is based on a meso-level model. I consider the processes of this level as anomalous diffusion. To explain it, I consider various random walk mechanisms, one of which essentially takes into account the one-dimensional nature of the model.
Keywords:
self-organized criticality, scale invariance, power-law distributions, sandpiles, Oslo model, Frette model, Mann model, meso-level models, anomalous diffusion, random walks
Publication language: russian,  pages: 16
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Podlazov Andrey Viktorovich,  orcid.org/0000-0002-0328-3814KIAM RAS