Complexity in the Earth's magnetotail plasma sheet

Here, after a brief review of some recent results on the complexity of plasma sheet dynamics, we discuss the relevance of randomness in the magnetic field fluctuations by means of simulated statistical pattern. In detail, we show how scale-invariance properties, which resemble actual measurement features, can be observed also in simple static random model. The results are also discussed in connection with a complex topology of the geotail currents.