2002/09/30 by Gunnar Pruessner · 33 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Algorithm #Connection (principal bundle) #Field (mathematics) #Geometry #Hydrocarbon exploration and reservoir analysis #Material Dynamics and Properties #Mathematical analysis #Mathematical physics #Mathematics #Philosophy #Physics #Pile #Pure mathematics #Realization (probability) #Statement (logic) #Statistical physics #Statistics #Theoretical and Computational Physics #Variable (mathematics) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.67.030301
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 67(3), 030301 (American Physical Society) · 6 pages, 2 figures, RevTeX 4, updated version (clarified arguments and corrected references)
openalex publication_date 2003/03/19 · arxiv created 2003/05/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Oslo rice pile model is a sandpile-like paradigmatic model of self-organized criticality (SOC). In this paper it is shown that the Oslo model is in fact exactly a discrete realization of the much studied quenched Edwards-Wilkinson equation (qEW) [Nattermann et al., J. Phys. II France 2, 1483 (1992)]. This is possible by choosing the correct dynamical variable and identifying its equation of motion. It establishes for the first time an exact link between SOC models and the field of interface growth with quenched disorder. This connection is obviously very encouraging as it suggests that established theoretical techniques can be brought to bear with full strength on some of the hitherto elusive problems of SOC.