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Title: Crossover to self-organized criticality in an inertial sandpile model
Authors: Head, DA
Rodgers, GJ
Keywords: Condensed Matter;Adaptation and Self-Organizing Systems
Issue Date: 1996
Publisher: American Physical Society
Citation: Phys. Rev. E 55: 2573–2579 (1997)
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.
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers
Mathematical Sciences

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