Asymptotics for thin superconducting rings
We consider thin superconducting rings of arbitrary smooth shape. We show that when the ring thickness is much smaller than its radius, the coherence length and the penetration length, the Ginzburg-Landau energy functional can be approximated by a one-dimensional functional. The model we derive is useful for the analysis of several problems in superconductivity such as the Little-Parks effect and Josephson junctions.
scientific article; zbMATH DE number 1060804