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http://bura.brunel.ac.uk/handle/2438/321
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. |
URI: | http://link.aps.org/abstract/PRE/v55/p2573 http://bura.brunel.ac.uk/handle/2438/321 |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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Crossover.pdf | 427.22 kB | Adobe PDF | View/Open |
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