Analytical Solutions and Optimization of the Time-Dependent Ginzburg-Landau Equation for SuperconductorsPublic Deposited
The behavior of type-II superconductors is modeled using the time-dependent Ginzburg Landau equations (TDGLE). Pinning centers (inclusions) and geometries which maximize the critical current that can be passed through a superconductor are numerically obtained. Previous analytical results are summarized and new results are obtained for the critical current in one and two-dimensional systems with and without an inclusion. Tangentially, analytical results of the iterative method -- Weighted Jacobi are derived.
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