MAGNETIC VORTEX IN SUPERCONDUCTING WIRE

The solutions of a non-linear system of Ginzburg-Landau equations, whi ch describe the order parameter and magnetic field of a vortex in a lo ng superconducting wire of finite radius, are studied. It is found, th at the vortex can exist only if the radius of a wire r(1) > r(c), wher e r(c) is some critical radius, which depends on the parameter K: of t he Ginzburg-Landau theory. The solutions, describing the vortex in a t ype I superconducting wire with kappa <1/root 2 are also studied. The interpolation formulas, describing the order parameter and magnetic he ld around the vortex in sufficiently thick superconducting wire, which are valid for arbitrary kappa and distances r from the vortex axis, a re proposed.