“…When 6a 2 , the value of B lim is very close to the applied field for which the sample is fully penetrated, as the main penetration mechanism is the nonlinear diffusion through the superconducting wall. To evaluate B lim , one could then use (20), which for 6a 2 , is close to H P∞ = J c d. However, this formula can be misleading for understanding the influence of the wall thickness, d. Expressions (20) or H P∞ = J c d were established, ignoring the variation of J c with B and show a linear dependence of B lim as a function of d. However, the decrease of J c with the local induction yields a softer dependence as can be seen in (18). There, B lim ≈ B lim,∞ is linear in d only for thicknesses d much smaller than B 1 /(2μ 0 J c0 ) ≈ 0.1 mm, but grows as √ d for larger thicknesses if one takes the J c0 and B 1 parameters of section 4.2.…”