Energy avalanches in a rice-pile model

TL;DR

This paper studies energy release patterns in a one-dimensional rice-pile model, revealing power-law energy dissipation indicative of self-organized criticality, and compares different driving conditions with experimental data.

Contribution

It introduces a one-dimensional rice-pile model demonstrating self-organized criticality through power-law energy dissipation, with analysis of various driving conditions.

Findings

Energy dissipation follows a power-law with exponent 1.53

The model exhibits self-organized criticality

Different driving conditions are analyzed for experimental comparison

Abstract

We investigate a one-dimensional rice-pile model. We show that the distribution of dissipated potential energy decays as a power law with an exponent $\alpha=1.53$. The system thus provides a one-dimensional example of self-organized criticality. Different driving conditions are examined in order to allow for comparison with experiments.