Observation of self-organized criticality in a miniature granular mound

Authors

Anthony Longjas ⋅ PH National Institute of Physics, University of the Philippines Diliman
Rene Batac ⋅ PH National Institute of Physics, University of the Philippines Diliman
Dranreb Earl Juanico ⋅ PH National Institute of Physics, University of the Philippines Diliman
Christopher Monterola ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Several contentions have surfaced in recent literature about whether systems traditionally classified as self-organizedcritical (SOC) really exhibit the spatial and temporal signatures of self-organized criticality. Here, we perform experiments and simulations on the "pioneer" SOC system, the sand pile, giving emphasis on the interevent occurrence time (IOT) statistics. Our results show that the IOT for slowly-driven mounds exhibits a power-law with exponent –2.670 ± 0.001. The power-law IOT distribution is conjectured to be due to correlation of events. To illustrate this, a shuffling procedure has been implemented wherein the order of the time series is rearranged randomly. The totally rearranged data obey an exponential distribution implying that indeed, the power-law is a direct indication of temporal correlations in the time series data.

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Issue

2008: Proceedings of the 26th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2008-5C-04

Section

Complex Systems

Published

2008-10-22

How to Cite

[1]

A Longjas, R Batac, DE Juanico, and C Monterola, Observation of self-organized criticality in a miniature granular mound, Proceedings of the Samahang Pisika ng Pilipinas 26, SPP-2008-5C-04 (2008). URL: https://proceedings.spp-online.org/article/view/SPP-2008-5C-04.