On the robustness of scale invariance in SOC models
Statistical Mechanics
2010-06-10 v1
Abstract
A random neighbor extremal stick-slip model is introduced. In the thermodynamic limit, the distribution of states has a simple analytical form and the mean avalanche size, as a function of the coupling parameter, is exactly calculable. The system is critical only at a special point Jc in the coupling parameter space. However, the critical region around this point, where approximate scale invariance holds, is very large, suggesting a mechanism for explaining the ubiquity of scale invariance in Nature.
Keywords
Cite
@article{arxiv.cond-mat/9901222,
title = {On the robustness of scale invariance in SOC models},
author = {Osame Kinouchi and Carmen P. C. do Prado},
journal= {arXiv preprint arXiv:cond-mat/9901222},
year = {2010}
}
Comments
6 pages, 4 figures; submitted to Physical Review E; http://link.aps.org/doi/10.1103/PhysRevE.59.4964