Coexistence of distinct power-law regimes in Self Organized Model for the Magnetosphere

Statistics – Computation

Scientific paper

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7833 Mathematical And Numerical Techniques (0500, 3200), 7839 Nonlinear Phenomena (4400, 6944)

Scientific paper

It is now argued that the Central Pasma Sheet (CPS) may behave like a Self-Organized Critical (SOC) system, driven by the the solar wind. The power law distributions for the sizes, energy and durations of substorms that are reflected in observations can be reproduced using such SOC models. However, recent observations made with the POLAR-UVI instrument showed that there is in fact two distinct regimes in substorms energies : small and big events scales as different power laws, the smaller events having a steeper slope. We used a 2D-SOC model subject to a deterministic driving, with conservative redistributions laws. We where able, with a slow driving together with a small dissipation in energy redistribution, to reproduce the coexistence of these two scaling regimes. The computation of the waiting-times, under the imposition of a threshold, showed truncated exponentials distributions, which is consistent with observations. Finally, we computed statistics of substorms depending on their onset position, and found that the southward mapping events tends to exhibit the dual power-law scaling, while a single slope statistic was found for northward mapping substorms, which is again consistent with recent observations.

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