Avalanche Merging and Continuous Flow in a Sandpile Model
Statistical Mechanics
2009-10-31 v2 adap-org
Disordered Systems and Neural Networks
Soft Condensed Matter
Adaptation and Self-Organizing Systems
Abstract
A dynamical transition separating intermittent and continuous flow is observed in a sandpile model, with scaling functions relating the transport behaviors between both regimes. The width of the active zone diverges with system size in the avalanche regime but becomes very narrow for continuous flow. The change of the mean slope, Delta z, on increasing the driving rate, r, obeys Delta z ~ r^{1/theta}. It has nontrivial scaling behavior in the continuous flow phase with an exponent theta given, paradoxically, only in terms of exponents characterizing the avalanches theta = (1+z-D)/(3-D).
Cite
@article{arxiv.cond-mat/9903157,
title = {Avalanche Merging and Continuous Flow in a Sandpile Model},
author = {Alvaro Corral and Maya Paczuski},
journal= {arXiv preprint arXiv:cond-mat/9903157},
year = {2009}
}
Comments
Explanations added; relation to other models