On the Application of the Langevin and Gorter—Casimir Two-Component Theory to Superconductor Surface Currents

Abstract

Within the framework of classical electrodynamics, the model problem of current distribution on the surface of a superconducting sphere and of magnetic induction are analyzed in the presence of an external current flowing onto a given superconducting sphere. The possibility of using the Langevin and Gorter—Kasimir two-component theory to surface currents produced in superconducting structures is considered. Within the framework of the formulated problem, the current distributions are calculated in detail in the case where electrons flow onto a superconducting sphere. Theoretical analysis of the main electrodynamic and London equations shows that a constant current component, which is related to the external flowing current, appears. The boundary conditions are analyzed in detail. Using them, we conclude that there is no tangential component near the sphere surface. A part of the boundary conditions is written in terms of the surface current density, which is also fundamentally new in the theoretical presentation of this physical problem.