Calculation of the Parameters for a Superconducting Thin Plate within Ginzburg-landau Theory

The behavior of a superconducting plate with transport current in a magnetic field parallel to its surface was studied by using numerical solution of Ginzburg-Landau (GL) equations. Boundary conditions for the order parameter in their general form have been used. The boundary conditions allow to consider the influence of the plate's boundaries on the superconducting state inside it. According to the calculations some features of the dependences of critical current and critical magnetic field in the parallel to the plate's surface direction as a function of the plate thickness have been detected. Such dependences are not explained by standard formulas for thin plates. On the basis of the calculations, an approach to estimate the coherence length ξ has been proposed. The results of the calculations are consistent with experimental data and qualitative analysis of the calculations within GL theory.