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

✍ Scribed by Y. Kimishima

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 390 KB
• Volume: 38
• Category: Article
• ISSN: 0011-2275
• DOI: 10.1016/s0011-2275(97)00176-8

✦ Synopsis

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