Simple dynamical model with history dependence for a sandpile experiment
Soft Condensed Matter
2007-05-23 v1
Abstract
A lattice dynamics model is proposed for the history dependence observed in sandpile experiments. The dependence of the stress distribution on the preparation of the sandpile is explained as a dependence of certain attractors on the preparation of the system. The model has three phases, but the history dependence is shown to exist only in the phase where a perturbation is amplified selectively rather than globally when propagating in the downflow direction. The condition for this history dependence is given in terms of the spatial Lyapunov exponent.
Cite
@article{arxiv.cond-mat/0111096,
title = {Simple dynamical model with history dependence for a sandpile experiment},
author = {Shuji Ishihara and Kunihiko Kaneko},
journal= {arXiv preprint arXiv:cond-mat/0111096},
year = {2007}
}
Comments
4pages, 4 figures