Random Neighbor Theory of the Olami-Feder-Christensen Earthquake Model

Details Random Neighbor Theory of the Olami-Feder-Christensen Earthquake Model Random Neighbor Theory of the Olami-Feder-Christensen Earthquake Model

1997-07-11

arxiv.org/abs/adap-org/9707002v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

18 pages, 6 ps-figures included; minor correction in sec.5

Scientific paper

10.1103/PhysRevE.56.3944

We derive the exact equations of motion for the random neighbor version of the Olami-Feder-Christensen earthquake model in the infinite-size limit. We solve them numerically, and compare with simulations of the model for large numbers of sites. We find perfect agreement. But we do not find any scaling or phase transitions, except in the conservative limit. This is in contradiction to claims by Lise & Jensen (Phys. Rev. Lett. 76, 2326 (1996)) based on approximate solutions of the same model. It indicates again that scaling in the Olami-Feder-Christensen model is only due to partial synchronization driven by spatial inhomogeneities. Finally, we point out that our method can be used also for other SOC models, and treat in detail the random neighbor version of the Feder-Feder model.

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