Self-Organized Criticality in the Olami-Feder-Christensen model

Details Self-Organized Criticality in the Olami-Feder-Christensen model Self-Organized Criticality in the Olami-Feder-Christensen model

1999-08-18

arxiv.org/abs/cond-mat/9908264v2

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures; small corrections in the text; reference added; data Reported in one table was changed (the pictures chan

Scientific paper

A system is in a self-organized critical state if the distribution of some measured events (avalanche sizes, for instance) obeys a power law for as many decades as it is possible to calculate or measure. The finite-size scaling of this distribution function with the lattice size is usually enough to assume that any cut off will disappear as the lattice size goes to infinity. This approach, however, can lead to misleading conclusions. In this work we analyze the behavior of the branching rate sigma of the events to establish whether a system is in a critical state. We apply this method to the Olami-Feder-Christensen model to obtain evidences that, in contrast to previous results, the model is critical in the conservative regime only.

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