“…Such a stochastic component may arise from stochastic processes taking place at high auroral latitudes near the foot of geomagnetic field lines, such as ionospheric conductivity variations and ion outflows, that can strongly disturb both the field-aligned currents measured on the Earth and the development of susbtorms and injections in the tail (Khazanov et al, 2019;Welling & Liemohn, 2016). It could also be due to stochastic phenomena occurring in the magnetotail, such as reconnection processes and wave-particle interactions that perturb field-aligned currents inside the auroral oval (Borovsky et al, 1993;Daglis et al, 1999;Hesse et al, 2014;Khazanov et al, 2019;Liou et al, 2001;Liu et al, 2013;Lysak, 1990;Sharma et al, 2008). As the corresponding injections of currents, fields, and energetic particles flow toward the Earth through various channels, they can merge, and their individual effects may blend into more regular structures, averaging out to a much less stochastic dynamics that only retains the initial impact P * of the solar wind on the magnetosphere.…”