Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-11-07
Physics
Condensed Matter
Soft Condensed Matter
4pages, 4 figures
Scientific paper
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.
Ishihara Shuji
Kaneko Kunihiko
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