Titlebook: Ginzburg-Landau Phase Transition Theory and Superconductivity; Karl-Heinz Hoffmann,Qi Tang Book 2001 Springer Science+Business Media New Y

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https://doi.org/10.1007/978-3-662-41175-9In this chapter, we establish some basic mathematical results such as existence of solutions and the vortex structure exhibited by the solutions. Some relationships between the applied magnetic field and the solutions will also be studied.

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Introduction,Before starting formally our introduction, we define some mathematical symbols that will be used throughout this book.

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Pinning Theory,In Chapter 6, we have discussed the location of vortices when the G-L parameter κ tends to ∞. We have obtained a renormalized energy and we claimed that any configuration of the vortices must minimize the corresponding renormalized energy.

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