PMID: 11909049Mar 23, 2002Paper

Basin of attraction of a bounded self-organized critical state

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
F Dalton, D Corcoran

Abstract

The robustness of the self-organized critical (SOC) state observed in the motion of an annular plate rotating over a granular medium is studied in this paper. In particular, we investigate the effect of parameters to which the emergent SOC state may be sensitive, including the initialization scheme, driving velocity, and confining pressure. The results indicate that the critical state is not a universal attractor, but has a finite basin of attraction. Furthermore, this state is only one of the three observed, which compare well with subcritical, critical, and supercritical states. The results call into question the precise definition of the term "self-organized criticality," an issue we address.

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Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F Dalton, D Corcoran
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Citations

Apr 6, 2013·The Journal of Chemical Physics·Massimo Pica Ciamarra, Peter Sollich
Jul 22, 2015·Scientific Reports·Takahiro HatanoPeter Shebalin
Apr 12, 2006·Physical Review Letters·A BaldassarriL Pietronero
Jan 20, 2018·Physical Review. E·Bosiljka TadićRoderick Melnik
Jan 19, 2020·Scientific Reports·Pinaki KumarJeannot Trampert
Sep 28, 2010·Physical Review Letters·Massimo Pica CiamarraLucilla de Arcangelis
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F GiaccoM Pica Ciamarra

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