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.

Last modified

• 02/13/2018

Creator

• Gregory Jonathan Kimmel

DOI

• https://doi.org/10.21985/N2Q684

Subject

• Engineering Sciences and Applied Mathematics

Keyword

• Phase Slips
• Magnetic Vortices
• Dynamical Systems
• Optimization
• Superconductivity

Date created

• 2016-01-01

Resource type

• Dissertation

Rights statement

• In Copyright