1997/07/31 by Hans-Martin Bröker, Hans-Martin Broeker, Peter Grassberger · 49 citations
Earth and Planetary Sciences · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Scaling #Statistical physics #Theoretical and Computational Physics #adap-org #earthquake and tectonic studies #nlin.AO
paper · pdf · doi:10.1103/physreve.56.3944
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 56(4), 3944-3952 (American Physical Society) · 18 pages, 6 ps-figures included; minor correction in sec.5
arxiv created 1997/09/16 · openalex publication_date 1997/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the exact equations of motion for the random neighbor version of the Olami-Feder-Christensen earthquake model in the infinite-size limit. We solve them numerically and compare them with simulations of the model for large numbers of sites. We find perfect agreement. But we do not find any scaling or phase transitions, except in the conservative limit. This is in contradiction to claims by Lise and Jensen [Phys. Rev. Lett. 76, 2326 (1996)] based on approximate solutions of the same model. It indicates again that scaling in the Olami-Feder-Christensen model is only due to partial synchronization driven by spatial inhomogeneities. Finally, we point out that our method can be used also for other self-organized criticality models and treat in detail the random neighbor version of the Feder-Feder model.