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 0 < p < 1 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 p. The pdf's cutoff can be fitted by a stretched exponential function with the stretching exponent approaching unity within the small-world region.
The Olami-Feder-Christensen model on a small-world topology / F. Caruso;V. Latora;A. Rapisarda;B. Tadic. - ELETTRONICO. - 26:(2005), pp. 355-360. (Intervento presentato al convegno 31st Workshop of the International-School-of-Solid-State-Physics nel 2005) [10.1142/9789812701558_0041].
The Olami-Feder-Christensen model on a small-world topology
CARUSO, FILIPPO;
2005
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 0 < p < 1 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 p. The pdf's cutoff can be fitted by a stretched exponential function with the stretching exponent approaching unity within the small-world region.File | Dimensione | Formato | |
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