Tsallis statistics and magnetospheric self-organization

► We use Tsallis non-extensive statistics for a deeper understanding of magnetospheric self-organization. ► The qsens, qstat, and qrel index set known as the Tsallis q-triplet was estimated during quiet and strong activity periods. ► The results obtained by our analysis indicate clearly the magnetospheric phase transition process. ► During the phase transition process the non-extensive statistical character of the magnetospheric plasma is strengthened.