Describing Magnetic Fields on a Superconducting Cylinder through London’s Model

Abstract

In this work, expressions will be developed for the vector potential and the magnetic field originating from an infinite superconducting cylinder in accordance with the London equation and in order to re-discuss the article by Miguel C. N. Fiolhais and Hanno Essén at the same time as visualizations are made for the configuration of the magnetic field - which indicate the emergence and evolution of vortices and turbulence internally and externally as the cylinder passes from a normal to a superconductive state. Finally, ingredients are placed for a possible attempt to characterize the current of superfluid electrons in the superconductor.