Analytical expressions of AC magnetic susceptibility for some critical state models of superconductor

摘要: Abstract Analytical expressions of AC magnetic susceptibility χ were given for some critical state models superconductor, such as Rollins–Silcox, Kimishima, Bean, and Anderson–Kim models. From the field dependence magnetization, in-phase out-of-phase linear 0 ′ ″, nonlinear third harmonic components 2 ″ are represented by function α . Here is (mean) penetration normalized amplitude H , it proportional to (surface) current density. The 3/2 -dependence against small was obtained each model, except A–K model with 3 ′. It found that analytical most simple useful estimate density from experimental data, validity should be confirmed behaviors non-linear ″.