Olami-Feder-Christensen Model on different Networks

Abstract

We investigate numerically the Self Organized Criticality (SOC) properties of the dissipative Olami-Feder-Christensen model on small-world and scale-free networks. We find that the small-world OFC model exhibits self-organized criticality. Indeed, in this case we observe power law behavior of earthquakes size distribution with finite size scaling for the cut-off region. In the scale-free OFC model, instead, the strength of disorder hinders synchronization and does not allow to reach a critical state.Comment: To appear in the Proceedings of 3rd NEXT International Conference "News Expectations and Trends in Statistical Physics" (13-18 August 2005, Kolimbari - Crete, Greece), as a special issue of the European Journal of Physics B and of the Physica A, by G. Kaniadakis, A. Carbone, M. Lissi