The Olami-Feder-Christensen model on a small-world topology
Abstract
We study the effects of the topology on the Olami-Feder-Christensen (OFC) model, an earthquake model of self-organized criticality. In particular, we consider a 2D square lattice and a random rewiring procedure with a parameter that allows to tune the interaction graph, in a continuous way, from the initial local connectivity to a random graph. The main result is that the OFC model on a small-world topology exhibits self-organized criticality deep within the non-conservative regime, contrary to what happens in the nearest-neighbors model. The probability distribution for avalanche size obeys finite size scaling, with universal critical exponents in a wide range of values of the rewiring probability . The pdf's cutoff can be fitted by a stretched exponential function with the stretching exponent approaching unity within the small-world region.
Keywords
Cite
@article{arxiv.cond-mat/0507643,
title = {The Olami-Feder-Christensen model on a small-world topology},
author = {F. Caruso and V. Latora and A. Rapisarda and B. Tadic},
journal= {arXiv preprint arXiv:cond-mat/0507643},
year = {2017}
}
Comments
To appear in the Proceedings of 31st Workshop of the International School of Solid State Physics: Complexity, Metastability and Nonextensivity (July 2004) in Erice, World Scientific (2005), edited by C. Beck, G. Benedek, A. Rapisarda, C. Tsallis