The puzzling disappearance of the second magnetisation peak below a certain temperature T 0 in the case of Bi 2 Sr 2 CaCu 2 O 8 + δ single crystals is explained by considering the dynamic ordering of the vortex system caused by the current induced in the sample during standard magnetisation measurements. Another ingredient is the limitation of the second magnetisation peak to field values lower than the characteristic field B 0 for the 3D-quasi-2D dimensional crossover. It was found that due to the inherent increase of the inborn driving force with decreasing T the dynamic response of the vortex system for T=<T 0 is elastic on both sides of the limiting field B 0 . Consequently, there will be no jump in the current-voltage characteristics across B 0 and the second magnetisation peak disappears.