Time dependent Ginzburg-Landau theory for design of superconducting wire

Abstract

In the present paper, we study the superconducting wire. It is known from Maxwell equations that the current creates magnetic field that suppresses superconductivity and wire starts to conduct with resistance. We consider the time dependent Ginzburg-Landau theory to resolve the problem. The solutions of the system of equations show that applied electric field, perpendicular to the axis of the wire and to the magnetic field restores superconductivity and wire starts to conduct without resistivity. We can increase the current to a new suppression of superconductivity and to restore superconductivity increasing the applied electric field. The aforementioned results permit us to conclude that the superconducting wire can transport a very strong current if the novel design discussed in the paper is applied.