Influence of Weak Self-Field Effect on Calculated Activation Energy for Superconducting Thin Film

When the applied field B_a = μ₀ H_a (H_a > H_p) is perpendicular to the surface of a disk-shaped superconducting thin film with the full penetrated field H_p, the radius R, and the thickness d, a quantitative relation between the average field < B > and the magnetization M is described by < B > = μ₀ H_a + (0.81 d/R) M for R» d , where the term μ₀(0.81 d/R) M also is the average self-field of the film. Combining this relation with the magnetic flux conservation equation and the Arrhenius relation, the effective activation energy is extracted from the experimental magnetization relaxation and the dynamic magnetization relaxation, respectively.