Abstract
The solutions of a non-linear system of Ginzburg–Landauequations, which describe the order parameter and magnetic field of avortex in a long superconducting wire of finite radius, are studied.It is found, that the vortex can exist only if the radius of a wirer1 > rc, whererc is some critical radius, which depends on theparameter κ of the Ginzburg–Landau theory. The solutions,describing the vortex in a type I superconducting wire withκ < 1/√2 are also studied. The interpolation formulas,describing the order parameter and magnetic field around the vortex insufficiently thick superconducting wire, which are valid for arbitraryκ and distances r from the vortex axis, areproposed.
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