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Crossover to Self-Organized Criticality in an Inertial Sandpile Model

D. A. Head·G. J. Rodgers
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Abstract

We introduce a one-dimensional sandpile model which incorporates particle inertia. The inertial dynamics are governed by a new parameter which, as it passes through a threshold value, alters the toppling dynamics in such a way that the system no longer evolves to a self-organized critical state. A range of mean-field theories based on a kinetic equation approach is presented which confirm the numerical findings. We conclude by considering the physical applications of this model, particularly with reference to recent experimental results.

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D. A. Head, G. J. Rodgers. 1996-06-25. Crossover to Self-Organized Criticality in an Inertial Sandpile Model. https://doi.org/10.1103/physreve.55.2573

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