Phys. Rev. Lett. 84, 4006–4009 (2000)Self-Organized Criticality in the Olami-Feder-Christensen ModelReceived 18 August 1999; revised 17 December 1999; published in the issue dated 24 April 2000 A system is in a self-organized critical state if the distribution of some measured events obeys a power law. The finite-size scaling of this distribution with the lattice size is usually enough to assume that the system displays self-organized criticality. This approach, however, can be misleading. In this paper we analyze the behavior of the branching rate σ 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 evidence that, in contrast to previous results, the model is critical in the conservative regime only. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.4006
DOI:
10.1103/PhysRevLett.84.4006
PACS:
05.65.+b, 05.45.Ra
See AlsoComment: Kim Christensen, Dominic Hamon, Henrik J. Jensen, and Stefano Lise, Comment on “Self-Organized Criticality in the Olami-Feder-Christensen Model”, Phys. Rev. Lett. 87, 039801 (2001). Reply: J. X. de Carvalho and C. P. Prado, de Carvalho and Prado Reply:, Phys. Rev. Lett. 87, 039802 (2001). |
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