Thin Film Problems in Superconductivity Academic Article uri icon


  • Thin high-temperature superconductor films are used in physical experiments; employed in electronic devices (fault current limiters, SQUIDs, magnetic traps for cold atoms). Mathematical modeling is needed to understand the results of such experiments and to design these electronic devices. Usually, one wants to compute the distributions of current density, electric field, and AC losses in the film as well as the magnetic field around it … Macroscopically, magnetization of type-II superconductors is modeled as an eddy current problem with a highly non-linear e(j) relation. The most often employed relations are … The power law: e = e0 ( j jc )p−1 j jc ; usually, 10 ≤ p ≤ 100 (Rhyner 93). The critical-state model: the p → ∞ limit of the power law (Bean 64, Kim et al. 63). In thin film models: e - tangential-to-film component of the electric field; j - sheet current density in the film … Analytical solutions: for the Bean model and …

publication date

  • January 1, 2016