A modeling substorm dynamics of the magnetosphere using self-organized criticality approach

Responses of Earth magnetic field during substorms exhibits a number of characteristics features such as the power-law spectra of fluctuations on different scales and signatures of low effective dimensions. Due the magnetosphere are constantly out-equilibrium their behavior is similar to real sandpiles during substorms, features of self-organized criticality (SOC) systems. Thus, in this work we presented a simple mathematical model to AE-index based on self-organizing sandpile mentioned by Uritsky and Pudovkin (1998), but we input the energy dissipation process inside the model. The statistical and multifractal tools to characterization of dynamical processes were used. The results also were compared with results from a classical geomagnetic event of the July, 2000, including the Bastille Day intense geomagnetic storm on 15 July.