Series of models that adequately describe both real processes in thin current sheets in the Earth’s magnetosphere and their properties is proposed. The obtained modelling results are not only confirmed by satellite observations, but can also predict them. Corresponding reports will be done on 40-th Scientific Assembly of the International Committee for space research (COSPAR) by Helmi Malova, doctor of physical and mathematical sciences, senior research scientist of the Scobeltsyn Institute of Nuclear physics of Lomonosov Moscow State University (NPI MSU) and leading research scientist of Space Research Institute of the Russian Academy of Sciences (IKI RAS).