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Self-Organized Criticality Analysis of Earthquake Model Based on Heterogeneous Networks

The original Olami—Feder—Christensen (OFC) model, which displays a robust power-law behavior, is a quasistatic two-dimensional version of the Burridge—Knopoff spring-block model of earthquakes. In this paper, we introduce a modified OFC model based on heterogeneous network, improving the redistribution rule of the original model. It can be seen as a generalization of the original OFC model. We numerically investigate the influence of the parameters θ and β, which respectively control the intensity of the evolutive mechanism of the topological growth and the inner selection dynamics in our networks, and find that there are two distinct phases in the parameter space (θ, β). Meanwhile, we study the influence of the control parameter a either. Increasing a, the earthquake behavior of the model transfers from local to global.