Abstract

Using a finite element method, we numerically solve the time-dependent Ginzburg-Landau equations of superconductivity to explore vortex nucleation in type II superconductors. We consider a cylindrical geometry and simulate the transition from a superconducting state to a mixed state. Using saddle-node bifurcation theory we evaluate the superheating field for a cylinder. We explore how surface roughness and thermal fluctuations influence vortex nucleation. This allows us to simulate material inhomogeneities that may lead to instabilities in superconducting resonant frequency cavities used in particle accelerators.

Degree

MS

College and Department

Physical and Mathematical Sciences; Physics and Astronomy

Date Submitted

2017-12-01

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd9647

Keywords

Ginzburg-Landau, superconductor, finite element method

Language

english

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