Crossover to Self-Organized Criticality in an Inertial Sandpile Model

Details Crossover to Self-Organized Criticality in an Inertial Sandpile Model Crossover to Self-Organized Criticality in an Inertial Sandpile Model

1996-06-25

arxiv.org/abs/cond-mat/9606186v1

Phys.Rev.E 55, 2573(1997).

Physics

Condensed Matter

8 pages, REVTeX, 7 .eps figures included, uses psfig.sty (included). Submitted to Phys.Rev.E

Scientific paper

10.1103/PhysRevE.55.2573

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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