Title page for ETD etd-1913943975930


Type of Document Dissertation
Author Deang, Jennifer Marie
URN etd-1913943975930
Title A Study of Inhomogeneities and Anisotrophies In Superconductors via Ginzburg-Landau Type models
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Burns, John A.
Cliff, Eugene M.
Herdman, Terry L.
Peterson, Janet S.
Gunzburger, Max D. Committee Chair
Keywords
  • numerical analysis
  • superconductivity
Date of Defense 1997-03-14
Availability unrestricted
Abstract
Superconductivity continues to be of great theoretical and practical interest and remains a challenging area of scientific inquiry. Most superconductors of practical utility are of type-II, i.e., they allow the penetration of magnetic fields in the form of tubes of flux that are referred to as "vortices." Motion of these vortices due to, e.g., applied currents, induce a loss of perfect conductivity. Knowing how vortices move and arrange themselves in lattice structures, how their movement is suppressed by pinning mechanisms, and how their movement is affected by thermal fluctuations is critical to understanding how to maintain resistanceless current flow. We study a variety of Ginzburg-Landau type models for superconductivity that can account for inhomogeneous and isotropy materials, grain boundaries, and thermal fluctuations. We develop robust, accurate, and efficient numerical codes and apply them to numerous studies of how vortex motions are affected by the various mechanisms mentioned above. We also examine some analytical aspects of type-II superconductors under the influence of thermal fluctuations.

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