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A study of vortex lattices and pulsar glitches

In this project we study the three fundamental theories that explain the phenomenon of superconductivity: The London theory, the Ginzburg-Landau theory and the BCS theory. We review works by several authors who utilized these theories as the basis for their investigation. In our literature review we...

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Main Author: Nkomozake, Thando
Other Authors: Weltman, Amanda
Format: Thesis
Language:English
Published: Department of Maths and Applied Maths 2020
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access_status_str Open Access
author Nkomozake, Thando
author2 Weltman, Amanda
author_browse Nkomozake, Thando
Weltman, Amanda
author_facet Weltman, Amanda
Nkomozake, Thando
author_sort Nkomozake, Thando
collection Thesis
description In this project we study the three fundamental theories that explain the phenomenon of superconductivity: The London theory, the Ginzburg-Landau theory and the BCS theory. We review works by several authors who utilized these theories as the basis for their investigation. In our literature review we study the behavior of single and multivortex states in mesoscopic thin superconducting discs whose dimensions are comparable to the penetration depth λ and the coherence length ξ of a superconductor. We learn about the types of phase transitions that the vortex configurations undergo and the stability of the resulting states. Our aim is to investigate how vortex configurations reorganize after phase transitions and whether their reorganization releases any energy into the system of vortices in the disc. If so, then what is the precise mechanism through which the released energy is transferred into the disc? We aim to answer this question and generalize the results to neutron star interiors in order to explain and predict the behavior of pulsar glitches.
format Thesis
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institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:33:13.838Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2020
publishDateRange 2020
publishDateSort 2020
publisher Department of Maths and Applied Maths
publisherStr Department of Maths and Applied Maths
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source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/31023 A study of vortex lattices and pulsar glitches Nkomozake, Thando Weltman, Amanda Murugan, Jeff Applied Mathematics In this project we study the three fundamental theories that explain the phenomenon of superconductivity: The London theory, the Ginzburg-Landau theory and the BCS theory. We review works by several authors who utilized these theories as the basis for their investigation. In our literature review we study the behavior of single and multivortex states in mesoscopic thin superconducting discs whose dimensions are comparable to the penetration depth λ and the coherence length ξ of a superconductor. We learn about the types of phase transitions that the vortex configurations undergo and the stability of the resulting states. Our aim is to investigate how vortex configurations reorganize after phase transitions and whether their reorganization releases any energy into the system of vortices in the disc. If so, then what is the precise mechanism through which the released energy is transferred into the disc? We aim to answer this question and generalize the results to neutron star interiors in order to explain and predict the behavior of pulsar glitches. 2020-02-11T11:58:44Z 2020-02-11T11:58:44Z 2019 2020-01-29T07:26:17Z Master Thesis Masters MSc http://hdl.handle.net/11427/31023 eng application/pdf Department of Maths and Applied Maths Faculty of Science
spellingShingle Applied Mathematics
Nkomozake, Thando
A study of vortex lattices and pulsar glitches
thesis_degree_str Master's
title A study of vortex lattices and pulsar glitches
title_full A study of vortex lattices and pulsar glitches
title_fullStr A study of vortex lattices and pulsar glitches
title_full_unstemmed A study of vortex lattices and pulsar glitches
title_short A study of vortex lattices and pulsar glitches
title_sort study of vortex lattices and pulsar glitches
topic Applied Mathematics
url http://hdl.handle.net/11427/31023
work_keys_str_mv AT nkomozakethando astudyofvortexlatticesandpulsarglitches
AT nkomozakethando studyofvortexlatticesandpulsarglitches