Self-Organized Criticality in a Fibre-Bundle type model
Statistical Mechanics
2009-10-31 v1 Disordered Systems and Neural Networks
Abstract
The dynamics of a fibre-bundle type model with equal load sharing rule is numerically studied. The system, formed by N elements, is driven by a slow increase of the load upon it which is removed in a novel way through internal transfers to the elements broken during avalanches. When an avalanche ends, failed elements are regenerated with strengths taken from a probability distribution. For a large enough N and certain restrictions on the distribution of individual strengths, the system reaches a self-organized critical state where the spectrum of avalanche sizes is a power law with an exponent .
Cite
@article{arxiv.cond-mat/9909211,
title = {Self-Organized Criticality in a Fibre-Bundle type model},
author = {Y. Moreno and J. B. Gomez and A. F. Pacheco},
journal= {arXiv preprint arXiv:cond-mat/9909211},
year = {2009}
}
Comments
10 pages, 6 figures. To be published in Physica A