“…8, relying on actual typical values of the physical parameters for our Nb films. In brief, as it has been emphasized by many authors [31][32][33]36,37,[44][45][46] and recently compiled in an extensive topical review [5], the smooth penetration in low-T c superconducting thin films (Nb in particular) is intrinsically hampered by magnetothermal instabilities. Detrimental flux avalanches are promoted by the concurrence of low temperatures and high values of the critical current density, and may eventually end up with a very significant decay of the superconducting properties, as for instance the magnetic moment of the sample.…”