The frozen-field approximation and the Ginzburg-Landau equations of superconductivity (Q5936123)

The Ginzburg-Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. Through numerical examples and mathematical studies the authors prove that the GL model reduces to the frozen-field model when the charge of the Cooper pairs (the superconducting charge carriers) goes to zero while the applied field stays near the upper critical field. To do that an asymptotic analysis is performed.