Self-Organized Criticality with Complex Scaling Exponents in the Train Model
adap-org
2009-10-30 v1 Adaptation and Self-Organizing Systems
Abstract
The train model which is a variant of the Burridge-Knopoff earthquake model is investigated for a velocity-strengthening friction law. It shows self-organized criticality with complex scaling exponents. That is, the probability density function of the avalanche strength is a power law times a log-periodic function. Exact results (scaling exponent: ) are found for a nonlocal cellular automaton which approximates the overdamped train model. Further the influence of random static friction is discussed.
Keywords
Cite
@article{arxiv.adap-org/9710002,
title = {Self-Organized Criticality with Complex Scaling Exponents in the Train Model},
author = {Franz-Josef Elmer},
journal= {arXiv preprint arXiv:adap-org/9710002},
year = {2009}
}
Comments
Written in RevTeX, 4 pages, 5 PostScript figure, appears in PRE