1997/10/08 by Alexei Vázquez, A. Vazquez, Vazquez, A. +3
Materials Science · Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9710081
3 pages, LaTex with epsf style. Phys. Rev. Lett. (submitted)
arxiv created 1997/10/08 · openalex publication_date 1997/10/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The self-organized critical state is characterized by a power law distribution of cluster sizes and other properties. However experiments with sand and rice piles reveal distributions of avalanche sizes which are not power law distributed. In the present letter a one-dimensional rice-pile model which demonstrate that this is only an apparent contradiction is introduced. Moreover, a robustness of the self-organized critical state is obtained with increasing system size.