Effective dynamics of a magnetic vortex in a local potential
In this study, the authors investigate a simplified mean field model of superconductor dynamics in the presence of impurities or for variable superconductor depth. The model is expressed by the gradient flow-version of the Ginzburg-Landau equations, which are the standard equations for a superconductor in the mean field approximation in the temporal gauge, in the presence of a local potential. They determine a dynamical law of motion of the vortex center, involving the potential, such that for datum close to a (static) magnetic vortex the solution is always close to a magnetic vortex whose center obeys this law.
scientific article; zbMATH DE number 5073722