Crossover to Self-Organized Criticality in an Inertial Sandpile Model
Condensed Matter
2009-10-28 v1 adap-org
Adaptation and Self-Organizing Systems
Abstract
We introduce a one-dimensional sandpile model which incorporates particle inertia. The inertial dynamics are governed by a new parameter which, as it passes through a threshold value, alters the toppling dynamics in such a way that the system no longer evolves to a self-organized critical state. A range of mean-field theories based on a kinetic equation approach is presented which confirm the numerical findings. We conclude by considering the physical applications of this model, particularly with reference to recent experimental results.
Keywords
Cite
@article{arxiv.cond-mat/9606186,
title = {Crossover to Self-Organized Criticality in an Inertial Sandpile Model},
author = {D. A. Head and G. J. Rodgers},
journal= {arXiv preprint arXiv:cond-mat/9606186},
year = {2009}
}
Comments
8 pages, REVTeX, 7 .eps figures included, uses psfig.sty (included). Submitted to Phys.Rev.E