2001/11/07 by Shuji Ishihara, Ishihara, Shuji, Kunihiko Kaneko +1
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0111096
4pages, 4 figures
arxiv created 2001/11/07 · openalex publication_date 2001/11/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.