On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity

摘要: This paper gives a complete description of the solutions one-dimensional Ginzburg–Landau equations which model superconductivity phenomena in infinite slabs. We investigate this problem over entire range physically important parameters: size slab, κ parameter, and h0, exterior magnetic field. do extensive numerical computations using software AUTO, determine number, symmetry stability for all values parameters. In particular, our experiments reveal existence two key-points parameter space play central role formation complicated patterns by means bifurcation phenomena. Our global also allows us to separate various regimes, classify previous results each regime according parameters derive new open problems. addition, investigation provides insight into differentiating between types superconductors terms