2015/08/29 by Lei Liu, Fei Hu, Liu, Lei +1
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Soil and Unsaturated Flow #Theoretical and Computational Physics #nlin.AO
paper · pdf · doi:10.48550/arxiv.1508.07514
6 figures
arxiv created 2015/08/29 · openalex publication_date 2015/08/29 · arxiv updated 2015/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The surface of conservative coupled sandpiles in the self-organized cooperative critical state is found to exhibit intermittency in both time and space. The spatiotemporal intermittent structure is also found to be a multifractal. The probability density of sand grain heights on the surface is an asymptotic power law but with an exponential cut-off. The power spectra of the time series of sand grain heights show a diversity of low-frequency components over different sites on the surface and also over different ensemble samples. This means that the long-term prediction according to the nearby observations and the history experiences is very difficult in the world of coupled sandpiles. Unlike the low-frequency spectra, the high-frequency spectra seem to obey a universal f-2 law.