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THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 7-16 .
Citation: THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY[J]. Journal of South China Normal University (Natural Science Edition), 2008, 1(4): 7-16 .
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THE GLOBAL MINIMIZERS OF ANISOTROPIC GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

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  • The existence of the global minimizers of the Ginzburg-Landau functional for an anisotropic superconducting sample in a magnetic field h_ex below the first critical field H_C_1 is proved. It is shown that there exists a vortex-less solution coincide with the solution found by the authors in a related paper, and that the density of the vortices is relevant to the applied field as H_c_1h_exH_c_2.
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