The Global Minimizers and Vortex Solutions to a Ginzburg-landau Model of Superconducting Films
نویسندگان
چکیده
In this paper, we discuss the global minimizers of a free energy for the superconducting thin films placed in a magnetic field hex below the lower critical field Hc1 or between Hc1 and the upper critical field Hc2 . For hex is near but smaller than Hc1 , we prove that the global minimizer having no vortex is unique. For Hc1 << hex << Hc2 , we prove that the density of the vortices of the global minimizer is proportional to the applied field.
منابع مشابه
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