Analysis of quantised vortex tangle / Alexander John Taylor.
Taylor, Alexander John, author.
2017
QC174.2
Available Online

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Title Analysis of quantised vortex tangle / Alexander John Taylor.
Author Taylor, Alexander John, author.
ISBN 9783319485560 (electronic book)
3319485563 (electronic book)
9783319485553
3319485555
DOI https://doi.org/10.1007/978-3-319-48556-0
Imprint Cham, Switzerland : Springer, 2017.
Language English
Description 1 online resource.
Other Standard Identifiers 10.1007/978-3-319-48556-0 doi
Call Number QC174.2
Dewey Decimal Classification 530.12/4
Summary In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity--including knotting--on the large scale. The work is highly visual, and illustrated with many beautiful diagrams revealing this unanticipated aspect of the physics of waves. Linear superpositions of waves create interference patterns, which means in some places they strengthen one another, while in others they completely cancel each other out. This latter phenomenon occurs on 'vortex lines' in three dimensions. In general wave superpositions modelling e.g. chaotic cavity modes, these vortex lines form dense tangles that have never been visualised on the large scale before, and cannot be analysed mathematically by any known techniques.
Note "Doctoral thesis accepted by the University of Bristol, Bristol, England."
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed December 14, 2016).
Series Springer theses.
Available in Other Form Print version: 9783319485553
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Introduction
Numerical Methods
Geometry and Scaling of Vortex Lines
Topological Methods
Knotting and Linking of Vortex Lines
Conclusions.

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