Analysis of symmetric solutions to the Ginzburg-Landau equations for superconducting films

Abstract

Superconductivity in films in a tangential external magnetic field is simulated using a one-dimensional Ginzburg-Landau (GL) model. A symmetric solution to the GL equations is sought using a central difference approximation. This work will illustrate the behavior of superconducting electrons across thick and thin films for various magnetic field strengths. The Meissner effect for type I and type II superconductors is verified.