The classical Ising model was used to re-create the ferromagnetic phenomenon in statistical mechanics. The model describes the behavior of atoms in a lattice. Each atom may interact only with its neighbors, and has two states called spins. When the atoms polarize their spins, the resulting...

The aim of this paper is to understand the origin of the deviations from the Gutenberg–Richter law observed for individual earthquake faults. The Gutenberg–Richter law can be reproduced by slider-block fault models showing in its quasi-static limit self-organized criticality. However, in...

An inhomogeneous version of Ito–Matsuzaki model for earthquakes is introduced. This model obeys Gutenberg–Richter’s law with excellent estimations for both the b-value and the fractal dimension of the hypocenters distribution. Also, the aftershocks obtained satisfy Omori’s law. Further,...