Self-organized critical models of earthquakes

In this paper we briefly review few self-organized critical (SOC) models of the phenomenon of earthquakes. For example, the two-dimensional non-conservative SOC model of Olami, Feder and Christensen (OFC) has been described. It is known that the effect of the fixed boundary on this model is very strong. It has been recently observed that imposition of a moving boundary condition helps to remove the strong non-uniformity originated from the fixed boundary. A generalized spatio-temporal scaling for the recurrence time distribution was proposed by Bak et al. which was later confirmed by Corral. We studied the same scalings on the conservative OFC model with moving boundary condition.