Josue X. Carvalho, Carmen P. C. Prado
Published 1999-08-18, updated 2000-02-22Version 2
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.
Comments: 10 pages, 3 figures; small corrections in the text; reference added; data Reported in one table was changed (the pictures changed accordingly); this changes didn't change any of the conclusions nor the approach used
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